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Tangents to a Circle Review

Total questions: 24

Worksheet time: 48mins

Name
Class
Date
1.

A tangent line intersects the circle ...

a)

in exactly two points

b)

in exactly one point

c)

through the center

d)

with the diameter

2.
Name a tangent.
a)
Segment XC
b)
Segment LM
c)
Segment HJ
d)
LINE BD
3.

Which shows a tangent line?

a)
b)
c)
d)
4.

Which shows a tangent line?

a)
b)
c)
d)
5.

If a line is tangent to a circle, then it is ________ to the radius drawn to the point of tangency.

a)

parallel

b)

adjacent

c)

supplementary

d)

perpendicular

6.

If two segments from the same external point are tangent to a circle, then they are______.

a)

Supplementary

b)

Congruent

c)

Complimentary

7.

Determine if a tangent line is shown in the picture.

a)

Yes

b)

No

c)

Not Sure

8.

Determine if a tangent line is shown in the picture.

a)

Yes

b)

No

c)

Not sure

9.

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)

11.7

b)

10.8

c)

13.0

d)

14.2

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)

4.1

b)

5.8

c)

4.7

d)

3.6

11.

What is the value of x to the nearest tenth?

a)

10.7

b)

114.5

c)

64.2

d)

5.35

12.

Segment ED is tangent to circle O. What is the value of x?

*Hint: All the angles in a triangle make 180 degrees, and because DE is a tangent line, the angle at D is 90 degrees!

a)

232

b)

52

c)

79

d)

115

13.

Assume both lines are tangent to circle O. What is the value of x?

a)

90

b)

115

c)

120

d)

45

14.
What is the value of DC? (to the nearest hundredth) 
a)
9.43
b)
4.43
c)

6.32

d)

1.41

15.

Circles add to how many degrees?

a)

180º

b)

360º

c)

520º

d)

300º

16.

A line that touches (intersects) the circle only once from the outside.

a)

Secant

b)

Chord

c)

Tangent

d)

Line

17.
What is the value of x?
a)
22
b)
25
c)
15
d)
20
18.
What can you conclude from the picture?
a)
m is parallel to circle C
b)
m is skew to circle C
c)
m bisects circle C
d)
m is tangent to circle C
19.

If AB=8, AE=19, and CE=17, what is the measure of segment BC?

a)

6 units

b)

8 units

c)

8.5 units

d)

11 units

20.

The polygon circumscribes a circle. What is the perimeter of the polygon? Type the number only.

a)

70mm

b)

50mm

c)

120mm

d)

85mm

21.

Assume that all the lines that appear tangent are tangent. Find the perimeter

a)

54

b)

30

c)

24

d)

18

22.

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

a)

45

b)

20

c)

55

d)

40

23.

Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x? Type the number only.

(a)  

24.

Assume that lines that appear to be tangent are tangent. O is the circle. What is the value of x?

a)

90°

b)

80°

c)

140°

d)

220°