Kuta Software - Infinite Geometry

Name___________________________________

Segment Lengths in Circles

Date________________ Period____

Solve for x. Assume that lines which appear tangent are tangent. 1)

2)

15 9

5 x x 4

3

3)

4) 4 x−3 5 x−6

x

4

5)

6

6) 4x + 2

9

5

x

8

4

4x

7)

8

8)

6

6x x

9

8x 7

5

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-1-

Worksheet by Kuta Software LLC

Find the measure of the line segment indicated. Assume that lines which appear tangent are tangent. 9) Find UW

10) Find KM U

T

W

N

4

2

12

14

M 2x + 2 C

3L

K

2x + 5

V

2x + 5

W

11) Find NM

12) Find NL K

N S x−8

16 x−3

M

x−5

4 K

L

3 L

N x+3

M

13) Find CE

14) Find CA D

S

12

14

3 + 3x 10

4x + 1

L

C

C

A

2 x − 17

B F

D 8

9 E

15) Find HG

16) Find WS S P

E

12 F

6x

15

G x+8

9

W H

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R

8 12 x

Q

-2-

Worksheet by Kuta Software LLC

Kuta Software - Infinite Geometry

Name___________________________________

Segment Lengths in Circles

Date________________ Period____

Solve for x. Assume that lines which appear tangent are tangent. 1)

2)

15 9

5 x x 4

3

16 2 3)

4) 4 x−3 5 x−6

x

9 4

6

5

5)

6) 4x + 2

9

5

x

8

4

4x

8

4

10

7)

8)

6

6x x

9

8x 7

5

1 4

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-1-

Worksheet by Kuta Software LLC

Find the measure of the line segment indicated. Assume that lines which appear tangent are tangent. 9) Find UW

10) Find KM U

T

W

N

4

2

12

14

M 2x + 2 C

3L

K

2x + 5

V

8

2x + 5

W

33 11) Find NM

12) Find NL K

N S x−8

16 x−3

M

x−5

4 K

L

3 L

N

6

x+3

M

15 13) Find CE

14) Find CA D

S

12

14

3 + 3x 10

4x + 1

L

C

C

A

2 x − 17

B F

D 8