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Chapter 10 Review

Total questions: 34

Worksheet time: 2hrs 42mins

Name
Class
Date
1.

Name the radius. Select all that apply.

a)

QT

b)

QS

c)

PS

d)

RT

e)

TS

2.

Name a chord that is not a diameter.

a)

RT

b)

QT

c)

QS

d)

PS

3.

Name a central angle. Select all that apply.

a)

Angle PSQ

b)

Angle QTR

c)

Angle RTS

d)

Angle PSR

4.
Solve for the missing angle.
a)
45o
b)
90o
c)
22.5o
d)
128o
5.
a)
A
b)
B
c)
C
d)
D
6.

What is the arc measure of DBC in degrees?

a)

19

b)

341

c)

180

d)

322

7.

What is the measure of ACD in degrees?

a)

317

b)

331

c)

133

d)

270

8.

Name a radius.

a)

segment XB

b)

segment AB

c)

segment BC

d)

segment AC

9.

Name a chord.

a)

segment XB

b)

segment XC

c)

segment BC

d)

line AC

10.

In ⨀C, m(arcAB)= 72. Find mBCD.*

a)

72

b)

108

c)

144

d)

180

11.

(segment AE) is a diameter of ⨀G and mBGE = 136. Find m(arc AB).

a)

36

b)

68

c)

44

d)

56

12.

Find mABC.

a)

50

b)

70

c)

90

d)

140

13.

If mMON = 86, find mMPN.

a)

86

b)

45

c)

43

d)

30

14.

Find x if m∠1 = 2x + 10 and m∠2 = 3x – 6.

a)

4

b)

16

c)

24

d)

42

15.

If AB is tangent to ⨀C at A, find BC.

a)

6 in.

b)

434\sqrt{3} in.

c)

12312\sqrt{3} in.

d)

24 in.

16.

Find the of the radius and the center of the circle  whose equation is  (x + 3)2 + (y  7)2 = 289\left(x\ +\ 3\right)^2\ +\ \left(y\ -\ 7\right)^{2\ }=\ 289  

a)

17; (-3, -7)

b)

13; (-3, -7)

c)

289; (-3, 7)

d)

17; (-3, 7)

17.

Find the equation of a circle with center (0, 0) and radius 4.

a)

x2 + y2 = 4x^{2\ }+\ y^{2\ }=\ 4

b)

x2 + y2 = 16x^{2\ }+\ y^2\ =\ 16

c)

(x 4) 2 + (y 4)2 = 16\left(x\ -4\right)\ ^2\ +\ \left(y\ -\ 4\right)^2\ =\ 16

d)

4x + 4y = 164x\ +\ 4y\ =\ 16

18.

QS is a tangent to circle P. Find QS.

(8 represents the distance from the external point (S) to the point of tangency at R.)

a)

144

b)

14

c)

12

d)

13

19.
Assume that all the lines that appear tangent are tangent. Find the perimeter
a)
54
b)
36
c)
48
d)
42
20.

Find x and the length of TS. Assume that segments that appear to be tangent are tangent.

a)

2; 11

b)

11; 2

c)

7.6, 22

d)

9; 4

21.
Find the length of BC.
a)
2
b)
3
c)
9
d)
14
22.

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

a)

30

b)

36.3

c)

48

d)

71

23.

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

a)

67

b)

62.7

c)

53.9

d)

32

24.

Find x. Assume that segments that appear to be tangent are tangent.


Round your answer to the nearest tenth.

a)

11.2

b)

18.0

c)

25.0

d)

30.0

25.

line JH is best described using which vocabulary term?

a)

chord

b)

secant

c)

tangent

d)

radius

26.

segment AH is best described using which vocabulary term?

a)

chord

b)

diameter

c)

tangent

d)

radius

27.

What is the length of one of the tangent segments?

a)

9

b)

41

c)

23

d)

97

28.

Solve for the missing angle.

a)

178°

b)

32.5°

c)

58.5°

d)

89°

29.
a)

150°

b)

75°

c)

105°

d)

80°

30.

Solve for the missing arc.

a)

92°

b)

46°

c)

168°

d)

100°

31.
inscribed angle: an angle with its vertex _____________ the circle
a)
at the center of
b)
on
32.
The intercepted arc of an inscribed angle  is ___________________ the measure of the inscribed angle.
a)
congruent to
b)
half
c)
double
d)
supplementary to 
33.
Find a and b.
a)
a=74 degrees
b=93 degrees
b)
a=93 degrees
b=74 degrees
c)
a=87 degrees
b=106 degrees
d)
a=106 degrees
b=87 degrees
34.

Find the measure of <c

a)

4

b)

20

c)

10

d)

47