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Chapter 11 circle properties

Total questions: 41

Worksheet time: 3hrs 12mins

Name
Class
Date
1.

What is the definition of a tangent?

a)

A line that intersects the circle on two points.

b)

A line that passes through the center of the circle.

c)

A line segment that passes through the center of the circle.

d)

A line that intersects the circle on only one point.

2.
Find the value of x that ensures the segment that appears tangent, is in fact tangent, to circle C.
a)
x = 14.4
b)
x = 8.9
c)
x = 16
d)
x = 8
3.
Find x
a)
10
b)
5
c)
18
d)
9
4.

A point B is 17cm away from the centre O of a circle. AB is the tangent to the circle at A. Given that AB = 15 cm, find the radius of the circle.

a)

8 cm

b)

9 cm

c)

2 cm

d)

16 cm

5.

Find the length of LK

a)

24

b)

20.25

c)

17.5

d)

12.32

6.

Prove BA is a tangent line by proving it is a right angle

a)

Yes

b)

No

7.
The radius of a circle is
a)
The measurement from the center of a circle to an edge of the circle.
b)
The measurement around the circle
c)
The measurement from and edge of the circle to another edge through the center
d)
A line perpendicular to the diameter of the circle
8.

Which shows a tangent line?

a)
b)
c)
d)
9.

A tangent line intersects the circle ...

a)

in exactly two points

b)

in exactly one point

c)

through the center

d)

with the diameter

10.

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

a)

16 in

b)

8 in

c)

11 in

d)

6 in

11.
find the measure of angle a
a)
30
b)
21
c)
60
d)
120
12.
find the measure of x
a)
38
b)
21
c)
27
d)
96
13.
A chord that passes through the center of the circle is a ________.
a)
chord
b)
diameter
c)
radius
d)
tangent
14.
two tangent lines coming from the same external point are ______________
a)
similar
b)
congruent
c)
perpendicular
d)
parallel
15.
Find x
a)
10
b)
5
c)
18
d)
9
16.

Using lines tangent to the circle, find the value of x.

a)

57

b)

137

c)

47

d)

257

17.

Point O is the center of each circle. Assume the lines that appear to be tangent are tangent. What is the value of the variable?

a)

8

b)

9

c)

15

d)

17

18.

Point O is the center of each circle. Assume the lines that appear to be tangent are tangent. What is the value of the variable?

a)

22

b)

28

c)

34

d)

40

19.

Solve for x. Assume that lines which appear to be tangent are tangent.

a)

8

b)

2.44

c)

-2.44

d)

-8

20.

AD and AB are tangent lines. Solve for x

a)

5

b)

-3

c)

-5

d)

3

21.
Lines AO and BO are tangent. What is the measure of BO?
a)
20
b)
15
c)
10
d)
5
22.
What is the value of y?
a)
27
b)
54
c)
108
d)
540
23.
What is the value of w?
a)
52
b)
104
c)
76
d)
108
24.
Find a and b.
a)
a=74 degrees
b=93 degrees
b)
a=93 degrees
b=74 degrees
c)
a=87 degrees
b=106 degrees
d)
a=106 degrees
b=87 degrees
25.
What is the value of x?
a)
22
b)
25
c)
15
d)
20
26.
A tangent to a circle is ________________________ to the radius drawn to the point of tangency.
a)
congruent
b)
perpendicular
c)
complimentary
d)
supplementary
27.

Given that angle QPR is an inscribed angle of QOR, find x. Hint: an inscribed angle is 1/2 of it's intercepted arc.

a)

5

b)

6

c)

4

d)

3.5

28.

Given this circle, find x

a)

70

b)

5

c)

30

d)

42

29.
Find the measure of the ?
a)
48˚
b)
110˚
c)
122˚
d)
100˚
30.
a)
A
b)
B
c)
C
d)
D
31.
Find m∠PRQ.
a)
39°
b)
90°
c)
51°
d)
15°
32.

What is θ?

a)

44°

b)

22°

c)

88°

d)

272°

33.

What is θ?

a)

60°

b)

30°

c)

330°

d)

90°

34.

What is θ?

a)

34°

b)

26°

c)

60°

d)

120°

35.

What is θ?

a)

220°

b)

110°

c)

250°

d)

125°

36.
a)

122°

b)

128°

c)

125°

d)

119°

37.

What is θ?

a)

32°

b)

36°

c)

30°

d)

38°

38.

What is the value of (a + b)?

a)

60°

b)

30°

c)

120°

d)

150°

39.

Line BC is the diameter, passing through the centre of the circle A. What is θ?

a)

30°

b)

60°

c)

90°

d)

Cannot be found with this information.

40.

What is θ?

a)

36°

b)

72°

c)

54°

d)

Cannot be found with this information.

41.

What is the value of (θ+ϕ)?

a)

186°

b)

180°

c)

174°

d)

Cannot be found with this information.

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