Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________

Geometry G.11 Circles: Arc Measures, Chords WS

Name: ________________________________________ Date: __________________ Block: _______

MQ and NR are diameters of circle O. Determine whether the given arc is a minor arc,

major arc, or semicircle. Then find the measure of the arc.

State the best term for the given figure in the diagram.

1) 2)

3) 4)

5) 6)

7) 8)

9) 10)

11) 12)

13) has a measure of °90 in circle R. Find the length of PQ .

Find the indicated arc measure.

14) 15)

16)

Two diameters of circle T are PQ and RS . Find the given arc measure if .

17) 18) 19) 20)

RT and PS are diameters of circle N. Find the measure of the given arc if .

21) 22) 23) 24)

Tell whether the given arcs are congruent. Explain.

25) and

26) and 27) and

Geometry G.11 Circles: Arc Measures, Chords WS Page 2

Find the measure of the given arc or chord.

28) 29) m 30) QS

31) 32) 33) m

Find the value of x. 34) 35) 36)

37) 38) 39)

Determine if PR is a diameter of the circle.

40) 41) 42) 43)

44) Complete the proof:

Given: PQ is a diameter of circle U; Prove: QUSPUT ∆≅∆

1) PQ is a diameter of circle U;

1) ______________________________

2)__________________________ 2) Two minor arcs in the same circle are ≅ IFF their corr. chords are ≅

3) USUTUQUP ≅≅≅ 3) ______________________________

4) QUSPUT ∆≅∆ 4) ______________________________