3 13.1 circle theorems - mrvahora · 3 13.1 circle theorems 309b 2 the diagrams all show circles,...
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�3 13.1 Circle theorems
309A
1 The diagrams all show circles, centre O.
The diagrams are not accurately drawn.
Work out the size of each angle marked with a letter.
a b
.................................................................. ..................................................................
c d
.................................................................. ..................................................................
e f
.................................................................. ..................................................................
O100˚ a
O
20˚b
O
c
10˚
O
70˚
e
O
23˚f
O
57˚
d
O100˚ a
O
20˚b
O
c
10˚
O
70˚
e
O
23˚f
O
57˚
d
O100˚ a
O
20˚b
O
c
10˚
O
70˚
e
O
23˚f
O
57˚
d
Guided practice worksheet
A
Questions are targeted at the grades indicated
�3 13.1 Circle theorems
309B
2 The diagrams all show circles, centre O.
The diagrams are not accurately drawn.
Work out the size of each angle marked with a letter.
Give reasons for each answer.
a b
.................................................................. ..................................................................
c d
.................................................................. ..................................................................
e f
.................................................................. ..................................................................
Remember that you need to have a worded rule as a reason, not just a calculation
O
38˚
a
O
b
Oc
O
e
O 136˚
f
O
80˚ d
O
38˚
a
O
b
Oc
O
e
O 136˚
f
O
80˚ d
O
38˚
a
O
b
Oc
O
e
O 136˚
f
O
80˚ d
Guided practice worksheet
A
�3 13.2 More circle theorems
311A
1 The diagrams all show circles, centre O.
The diagrams are not accurately drawn.
Work out the size of each angle marked with a letter.
a b
.................................................................. ..................................................................
c d
.................................................................. ..................................................................
e f
.................................................................. ..................................................................
O
28˚
71˚
a
O
b
O
c
65˚
32˚O
e
O
38˚
f
O
70˚
d
O
28˚
71˚
a
O
b
O
c
65˚
32˚O
e
O
38˚
f
O
70˚
d
O
28˚
71˚
a
O
b
O
c
65˚
32˚O
e
O
38˚
f
O
70˚
d
Guided practice worksheet
A
Questions are targeted at the grades indicated
�3 13.2 More circle theorems
311B
2 The diagrams all show circles, centre O.
The diagrams are not accurately drawn.
Work out the size of each angle marked with a letter.
Give reasons for each answer.
a b
.................................................................. ..................................................................
c d
.................................................................. ..................................................................
e f
.................................................................. ..................................................................
Remember that you need to have a worded rule as a reason, not just a calculation.
O57˚
18˚a
Ob
O
c
100˚
15˚
O
e
O
83˚
f
O
51˚
d
O57˚
18˚a
Ob
O
c
100˚
15˚
O
e
O
83˚
f
O
51˚
d
O57˚
18˚a
Ob
O
c
100˚
15˚
O
e
O
83˚
f
O
51˚
d
Guided practice worksheet
A
�3 13.2 More circle theorems
311C
3 The diagrams all show circles, centre O.
The diagrams are not accurately drawn.
Work out the size of each angle marked with a letter.
a b
.................................................................. ..................................................................
c d
.................................................................. ..................................................................
e f
.................................................................. ..................................................................
O41˚
43˚
aO
b
O
c
74˚
54˚
O
e
O
63˚
f
O
48˚
c
O41˚
43˚
aO
b
O
c
74˚
54˚
O
e
O
63˚
f
O
48˚
c
O41˚
43˚
aO
b
O
c
74˚
54˚
O
e
O
63˚
f
O
48˚
c
Guided practice worksheet
A
�3 13.2 More circle theorems
311D
4 The diagrams all show circles, centre O.
The diagrams are not accurately drawn.
Work out the size of each angle marked with a letter.
Give reasons for each answer.
a b
.................................................................. ..................................................................
c d
.................................................................. ..................................................................
e f
.................................................................. ..................................................................
Remember that you need to have a worded rule as a reason, not just a calculation.
O
74˚
148˚
a
O b
O
c
57˚
52˚
O
e
O
50˚
f
O 32˚d
O
74˚
148˚
a
O b
O
c
57˚
52˚
O
e
O
50˚
f
O 32˚d
O
74˚
148˚
a
O b
O
c
57˚
52˚
O
e
O
50˚
f
O 32˚d
A
Guided practice worksheet