honors geometry section 8.6 proportions and similar triangles

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Honors Geometry Section 8.6 Proportions and Similar Triangles

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Page 1: Honors Geometry Section 8.6 Proportions and Similar Triangles

Honors Geometry

Section 8.6Proportions and Similar Triangles

Page 2: Honors Geometry Section 8.6 Proportions and Similar Triangles

Please select a Team.

1 2 3 4 5 6 7 8 9 10

0 0 0 0 000000

1. Team 1

2. Team 2

3. Team 3

4. Team 4

5. Team 5

6. Team 6

7. Team 7

8. Team 8

9. Team 9

10.Team 10

Response Grid

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Page 3: Honors Geometry Section 8.6 Proportions and Similar Triangles

proportionally

Q

RT

T

RU

US

third side

TU QS

Page 4: Honors Geometry Section 8.6 Proportions and Similar Triangles

Apply the Triangle Proportionality Theoremx

9

x6

4

6 36x 6x

6NR

Page 5: Honors Geometry Section 8.6 Proportions and Similar Triangles

.

a. b. c. d.

0 000

a.

b.

c.

d. .

.A

.B

.C

.D

CHECKPOINT

9DF

16DF

10DF

4DF

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Page 6: Honors Geometry Section 8.6 Proportions and Similar Triangles

.

a. b. c. d.

0 000

a.

b.

c.

d. .

.A

.B

CHECKPOINT

MN PQ

MN PQ

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Page 7: Honors Geometry Section 8.6 Proportions and Similar Triangles

proportionally

UW

WYVX

XZ

proportional

AD

DBCA

CB

Page 8: Honors Geometry Section 8.6 Proportions and Similar Triangles

Because the corresponding angles are ,the lines are parallel

According to theorem 8.6, the transversals are divided proportionally

x

28x

3025

30 700x 23.3x 23.3GH

x

Because is an angle bisector, you can apply theorem 8.7PR

18 xx

18 x

12

8

8 216 12x x 20 216x

10.8x 10.8QR

Page 9: Honors Geometry Section 8.6 Proportions and Similar Triangles

.

a. b. c. d.

0 000

a.

b.

c.

d. .

.A

.B

.C

.D

CHECKPOINT

4.2LN

5.7LN

1.4LN

4.4LN

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Page 10: Honors Geometry Section 8.6 Proportions and Similar Triangles

.

a. b. c. d.

0 000

a.

b.

c.

d. .

.A

.B

.C

.D

CHECKPOINT

12x

28x

16x

14x

Response Grid

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Page 11: Honors Geometry Section 8.6 Proportions and Similar Triangles

Team Scores400 Team 3

400 Team 4

400 Team 5

400 Team 6

400 Team 7

400 Team 8

400 Team 1

350 Team 2

300 Team 9

Page 12: Honors Geometry Section 8.6 Proportions and Similar Triangles

• End

Page 13: Honors Geometry Section 8.6 Proportions and Similar Triangles

Honors Geometry

Section 8.6Proportions and Similar Triangles

Page 14: Honors Geometry Section 8.6 Proportions and Similar Triangles
Page 15: Honors Geometry Section 8.6 Proportions and Similar Triangles
Page 16: Honors Geometry Section 8.6 Proportions and Similar Triangles
Page 17: Honors Geometry Section 8.6 Proportions and Similar Triangles