Free Printable Circle properties

1.

A tangent to a circle is ________________________ to the radius drawn to the point of tangency.

a)

congruent

b)

perpendicular

c)

complimentary

d)

supplementary

2.

What is the size of angle x?

a)

19^o

b)

76^o

c)

39^o

d)

38^o

3.

find the measure of angle a

a)

30

b)

21

c)

60

d)

120

4.

What is the value of x and y?

a)

x=75°; y=93°

b)

x=65°;y=104°

c)

x=75°; y=94°

d)

x=65°; y=93

5.

Lines AO and BO are tangent. What is the measure of BO?

a)

20

b)

15

c)

10

d)

5

6.

What is the value of x and y?

a)

x=75°; y=93°

b)

x=65°;y=104°

c)

x=75°; y=94°

d)

x=65°; y=93

7.

How big is angle b?

a)

50 degrees

b)

60 degrees

c)

70 degrees

d)

75 degrees

8.

What is the measure of arc AYB

a)

50

b)

100

c)

180

d)

260

9.

Two tangents CD and CB intersect circle A. Find the length of the tangent segment BC.

a)

2

b)

3

c)

9

d)

14

10.

In the diagram, AC is tangent to circle B, find the length of CB.

a)

6

b)

7

c)

8

d)

9

11.

In a circle (or congruent circles), chords that are the same distance from the center:

a)

are similar

b)

have the same name

c)

are congruent to each other

d)

are walking dead

12.

Find x.

a)

4.4

b)

8.3

c)

9.4

d)

8.8

13.

Solve for x.

a)

5

b)

20

c)

40

d)

85

14.

What is the measure of angle HKI?

a)

72

b)

73

c)

74

d)

75

15.

What is the value of x with a reason? There are two correct answers.

a)

$112\degree$

b)

$56\degree$

c)

The angle at the center is equal to twice the angle at the circumference.

d)

The angle at the center is equal to the angle at the circumference.

16.

Given: ABCD is a cyclic quadrilateral.
Are the following statements true or false?
$a+b=180\degree$
$c+d=180\degree$

a)

True

b)

False

17.

In the diagram given DCBE is a cyclic quadrilateral in the circle with centre O
Given: $angle\ D\ is\ 105\degree$
$angle\ B1\ is\ 30\degree$
What is the size of angle O1?

a)

$90\degree$

b)

$210\degree$

c)

$135\degree$

d)

$75\degree$

18.

If a line segment in drawn from the center of a circle onto a chord, what happens with the chord?

a)

The chord disappears.

b)

The chord is bisected.

c)

The angles are 90 degrees.

d)

The line from the center is perpendicular to the chord.

19.

Choose the correct description for the image above:

a)

If AB is a diameter of the circle with centre O, then angle P will not be a right angle.

b)

If AB is a radius of the circle with centre O, then angle P will be a right angle.

c)

If AB is a diameter of the circle with centre O, then angle P will be a right angle.

d)

None of the above

20.

Choose the correct image to match the description: The line segment joining the center of a circle to the midpoint of the chord is perpendicular to the chord.

a)

b)

c)

d)

21.

Given:

AO=OB=5

OP\ is\ perpendicular\ to\ Ab\ and\ OP=3

What is the value of AB?

a)

4

b)

8

c)

10

d)

6

22.

Find angle ABC

a)

45

b)

13

c)

90

d)

77

23.

the values of u , v & w are

a)

24 , 90 & 190

b)

26 , 96 & 186

c)

24 , 92 & 184

d)

26 , 80 & 182

24.

the radius of the circle is 12cm. Calculate the length of major arc ABCD

a)

68.3

b)

30.6

c)

7.1

d)

40.8

25.

the value of angle PTS (with reason

a)

66 (alternate angles)

b)

66 (Vertical opposite angles)

c)

66 (Corresponding Angles)

d)

66 (supplementary Angles)

Circle properties - assessment

Total questions: 25

Worksheet time: 1hrs 15mins

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