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10.1 Lines & Segments in Circles

Total questions: 20

Worksheet time: 2hrs 48mins

Name
Class
Date
1.

What is the difference between a tangent line and a secant line?

a)

A secant intersects the circle twice; a tangent touches the circle once

b)

A tangent intersects the circle twice; a secant touches the circle once

c)

A secant goes through the center of the circle; a tangent does not

d)

A secant is outside the circle; a tangent is inside the circle

2.

Segment ST is called a ________

a)

Radius

b)

Chord

c)

Tangent Line

d)

Diameter

e)

Center

3.

Segment QV is called a ________

a)

Radius

b)

Chord

c)

Tangent Line

d)

Diameter

e)

Center

4.

Segment XW is called a ________

a)

Radius

b)

Chord

c)

Tangent Line

d)

Diameter

e)

Center

5.

Line VU is called a ________

a)

Radius

b)

Point of Tangency

c)

Tangent Line

d)

Secant Line

e)

Center

6.

Line PR is called a ________

a)

Radius

b)

Point of Tangency

c)

Tangent Line

d)

Secant Line

e)

Center

7.

Point S is called a ________

a)

Radius

b)

Point of Tangency

c)

Tangent Line

d)

Secant Line

e)

Center

8.

Point V is called a ________

a)

Radius

b)

Point of Tangency

c)

Tangent Line

d)

Secant Line

e)

Center

9.

If 2 segments from the same external point are tangent to a circle, then they are_.

a)

Supplementary

b)

Complementary

c)

Congruent Segments

d)

Perpendicular Segments

10.

Find the value of x.

a)

3/2

b)

6

c)

12

d)

20

11.

Solve for x.

a)

b)

13

c)

9

d)

3

12.

In ⨀ A, BC is tangent at point B. Find the length of AC.

a)

3

b)

13

c)

d)

13.

Find the length of radius x. Round your answer to the nearest tenth.

a)

31.2

b)

13.3

c)

10

d)

4

14.

Is the given segment tangent to circle K?

a)

Yes

b)

No

15.

Is BD tangent to the circle?

a)

Yes

b)

No

16.

Solve for the length of tangent segment BA (x).

a)

8

b)

12

c)

13.9

d)

144

17.

Solve for r. Write your answer in simplest radical form.

a)

3

b)

63

c)

d)

18.

HINT: Use the FOIL method (aka Double Distribution)

a)

b)

c)

d)

19.

How many common tangents can be drawn for the circles in the picture?

a)

4

b)

3

c)

2

d)

1

20.

How many common INTERNAL tangents can be drawn for the circles in the picture?

a)

3

b)

2

c)

1

d)

0