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Tangent Lines

Total questions: 36

Worksheet time: 2hrs 42mins

Name
Class
Date
1.
In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)
a)
15
b)
6
c)
-24
d)
14
2.

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

3.

A tangent line intersects the circle ...

a)

in exactly two points

b)

in exactly one point

c)

through the center

d)

with the diameter

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.

Determine if a tangent line is shown in the picture.

a)

Yes

b)

No

c)

Not sure

7.

Determine if a tangent line is shown in the picture.

a)

Yes

b)

No

c)

Note Sure

8.
A tangent line intersecting with a radius always creates a ____________ angle
a)
right
b)
acute
c)
obtuse
d)
straight
9.

Match the following.

a)
1.

Semicircle

b)
2.

Minor Arc

c)
3.

Major Arc

10.

Match the following

a)
1.

Secant

b)
2.

Tangent

c)
3.

Chord

d)
4.

Diameter

e)
5.

Radius

11.
a)
A
b)
B
c)
C
d)
D
12.
a)
A
b)
B
c)
C
d)
D
13.
inscribed angle: an angle with its vertex _____________ the circle
a)
at the center of
b)
on
14.
a)
A
b)
B
c)
C
d)
D
15.
How many degrees are in a cirlce?
a)
90
b)
180
c)
270
d)
360
16.
a)
A
b)
B
c)
C
d)
D
17.
What formula is this used for:
πd
a)
Area
b)
Circumference 
c)
Surface Area
d)
Volume 
18.
What formula is this used for:
πr²
a)
Circumference 
b)
Area
c)
Surface Area
d)
Volume
19.

What number represents π?

a)

31.4

b)

4.13

c)

3.14

d)

34.1

20.
If the measure of arc ABC = 210°, what is the measure of arc AC?
a)
150°
b)
100°
c)
210°
d)
105°
21.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
22.

Find the given angle.

a)

59°

b)

78°

c)

43°

d)

242°

23.

What is the arc measure FE?

a)

54°

b)

90°

c)

27°

d)

31.5°

24.

Solve for x.

a)

90

b)

12

c)

47

d)

45

25.

what dog breed is this

a)

golden retriever

b)

bulldog

c)

labrador retriever

d)

none of the above

26.

What is the measure of the central angle if the arc length is 60°?

a)

180°

b)

120°

c)

60°

d)

90°

27.

Which formula is used to calculate the area of a circle?

a)

4πr²

b)

πd

c)

2πr

d)

πr²

28.

What is the relationship between a tangent and a radius at the point of tangency?

a)

They are perpendicular

b)

They are equal

c)

They are parallel

d)

They are supplementary

29.

What is the measure of an inscribed angle if the intercepted arc is 80°?

a)

80°

b)

40°

c)

20°

d)

160°

30.

Which of the following is true about the diameter of a circle?

a)

It is three times the radius

b)

It is half the radius

c)

It is equal to the radius

d)

It is twice the radius

31.

Which of the following is true about the central angle and its intercepted arc?

a)

The central angle is half the measure of the intercepted arc

b)

The central angle is equal to the measure of the intercepted arc

c)

The central angle is twice the measure of the intercepted arc

d)

The central angle is unrelated to the intercepted arc

32.

Find the length of the radius if the diameter of the circle is 18 cm.

a)

9 cm

b)

4.5 cm

c)

18 cm

d)

36 cm

33.
What is this dog breed?
a)
Doberman Pinscher
b)
Rottweiler
c)
American Staffordshire Terrier 
d)
Labrador Retreiver
34.
What is this dog breed?
a)
Australian Shepherd
b)
Australian Cattle Dog
c)
German Shepherd
d)
Irish Wolfound
35.

What is the measure of an inscribed angle if the intercepted arc is 100°?

a)

200°

b)

100°

c)

50°

d)

25°

36.

Which of the following is true about the radius of a circle?

a)

It is equal to the diameter

b)

It is twice the diameter

c)

It is three times the diameter

d)

It is half the diameter

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