Free Printable Cyclic Quadrilaterals

1.

Which circle does not have cyclic quadrilateral?

a)

b)

c)

d)

2.

Which of the following pairs of angles is/are equal?

a)

a and f

b)

b and d

c)

c and e

d)

d and g

3.

In the figure,
x = (no need to input unit in your answer)

(a)

4.

In the figure,
y = (no need to input unit in your answer)

(a)

5.

In the figure,

a)

$x=32\degree$ and $y=32\degree$ .

b)

$x=67\degree$ and $y=32\degree$ .

c)

$x=67\degree$ and $y=67\degree$ .

d)

$x=102\degree$ and $y=67\degree$ .

6.

Is OADC a cyclic quadrilateral?

a)

No

b)

Yes

7.

Is OCAB a cyclic quadrilateral?

a)

Yes

b)

No

8.

y is the opposite interior angle corresponding to ______.

a)

n

b)

m

c)

x

d)

z

9.

$if\ \angle ABC=76\degree\ ,what\ is\ \angle CDA?$

a)

$76\degree$

b)

$104\degree$

c)

$284\degree$

d)

$90\degree$

10.

Find the sizes of the lettered angles in each of these circles

a)

a = 50, b = 95

b)

a = 85, b = 130

c)

a = 95, b = 50

d)

a = 130, b = 85

11.

Find the sizes of the lettered angles in each of these circles

a)

c = 92, x = 90

b)

c = 180, x = 77

c)

c = 88, x = 88

12.

Find the sizes of the lettered angles in each of these circles

a)

g = 105, h = 99

b)

g = 81, h = 105

c)

g = 99, h = 105

d)

g = 105, h = 81

13.

Find the angles of x and y in each of these circles where O is the centre

a)

x = 50°

y = 62°

b)

x = 80°

y = 100°

c)

x = 100°

y = 80°

d)

x = 70°

y = 20°

14.

∠x + ∠y =

a)

45°

b)

900°

c)

180°

d)

360°

15.

x =

a)

30°

b)

40°

c)

50°

d)

60°

16.

x =

a)

22°

b)

38°

c)

79°

d)

158°

17.

x =

a)

x = 8.5°

b)

x = 9.5°

c)

x = 76°

d)

x = 98°

18.

x =

a)

20°

b)

40°

c)

80°

d)

140°

19.

x =

a)

40°

b)

50°

c)

70°

d)

120°

20.

∠BCD =

a)

20°

b)

30°

c)

40°

d)

50°

21.

In the figure,
x = (no need to input unit in your answer)

(a)

22.

Find the angles of x and y in each of these circles where O is the centre

a)

x = 50°

y = 62°

b)

x = 80°

y = 100°

c)

x = 100°

y = 80°

d)

x = 70°

y = 20°

23.

What is the sum of opposite interior angles in a cyclic quadrilateral?

a)

$180\degree$

b)

$45\degree$

c)

$90\degree$

d)

$360\degree$

24.

Which following is true?

a)

$x=50\degree$

b)

$y=50\degree$

c)

$x=180\degree-50\degree$

d)

$y=180\degree-50\degree$

25.

The exterior angle of a cyclic quadrilateral...

a)

is the sum of the opposite two interior angles

b)

equals the angle at the circumference subtended by arcs of the same length

c)

equals the opposite interior angle

d)

is twice the opposite interior angle

26.

Is OCAB a cyclic quadrilateral?

a)

Yes

b)

No

Cyclic Quadrilaterals

Total questions: 26

Worksheet time: 17mins

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