Infinite Geometry - HW 7: Review

Geometry

Name___________________________________ ID: 1

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HW 7: Review

Date________________ Period____

Name the arc made by the given angle. HQI

1)

Name the central angle of the given arc. 2) VYW

G

U Y X

Q

W

4 3

5

1

2

H I

V

Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters. 3) m IHJ 4x + 9

4) mHI I

F 38x - 1

K 17x + 2 G H 51x + 3

160° I J

H

State if each angle is an inscribed angle. If it is, name the angle and the intercepted arc. 5)

B C

A

Find the measure of the arc or angle indicated. 6) Find m YWX

7) Find mBA

X

R

C

25x + 6 84x

21x - 6

93x - 1 A W

Y 92x

84 °

B Worksheet by Kuta Software LLC

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Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent. 8) Find m DEF

9) Find mEF F

E

16x + 6

E 2x + 135

G

x + 45

2x + 225 F

D

10) Find m RSU

9x - 6

11) Find m CDB

8x - 9

34x - 4 S

R

T

69 °

B 5 + 20x C D A R 7x + 8

U

21x + 6

12) Find m JKL

13) Find m JLD

35x - 5

x + 23

J

J

K L 3x + 10

9x + 8

M

18x - 5 L

K D

Find the measure of the line segment indicated. Assume that lines which appear tangent are tangent. 14) Find PQ

15) Find RS P P

45 S

H

R 27

11x

8x S

12x Q

Q 9

10 R

16) Find FM

Find the area of each. Use your calculator's value of p . Round your answer to the nearest tenth.

J M 2x

10

17) circumference = 44 cm

9 F

K x+8 Worksheet by Kuta Software LLC

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Find the circumference of each circle. Use your calculator's value of p . Round your answer to the nearest tenth.

Find the diameter of each circle. Use your calculator's value of p . Round your answer to the nearest tenth.

18) area = 28.3 mi² Find the length of each arc. Round your answers to the nearest tenth.

19) circumference = 75.4 m Find the area of each sector. Round your answers to the nearest tenth.

20)

21) 300° 8 mi 8 yd

Determine if line AB is tangent to the circle. 22)

B

90°

Find the segment length indicated. Assume that lines which appear to be tangent are tangent.

15.3 A

23)

7.4

9 11.1

15 ?

Find the perimeter of each polygon. Assume that lines which appear to be tangent are tangent.

Solve for x. Assume that lines which appear to be tangent are tangent. 25)

24)

6x - 8 10.5 4x + 10

14.2

10 16.6

Find the angle measure indicated. Assume that lines which appear to be tangent are tangent. 26) 29 °

?

Worksheet by Kuta Software LLC

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Answers to HW 7: Review (ID: 1) 1) HI 5) Yes; m BCA, BA 9) 150° 13) 35° 17) 154.1 cm² 21) 50.3 yd² 25) 9

2) 2 6) 78° 10) 63° 14) 11 18) 18.9 mi 22) Not tangent 26) 61°

3) 155° 7) 92° 11) 125° 15) 48 19) 24 m 23) 6

4) 75° 8) 45° 12) 85° 16) 20 20) 41.9 mi 24) 54.2

Worksheet by Kuta Software LLC

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