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Ch 13 Review

Total questions: 80

Worksheet time: 5hrs 27mins

Name
Class
Date
1.
a)
Secant
b)
Diameter
c)
Radius
d)
Chord
2.
What is AB?
a)
diameter
b)
center
c)
circumference
d)
radius
3.
What is CB?
a)
diameter
b)
center
c)
circumference
d)
radius
4.
What is C?
a)
diameter
b)
center
c)
circumference
d)
radius
5.
What is the diameter?
a)
8
b)
16
c)
10
d)
4
6.
What is the radius?
a)
18
b)
72
c)
38
d)
14
7.

A given point directly in the middle of a circle.

a)

Radius

b)

Diameter

c)

Center

d)

Point

8.
Given a circle with a diameter of 10 m, what is the radius?
a)
10 m
b)
5 m
c)
20 m
d)
15 m
9.

Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?

a)

160

b)

20

c)

70

d)

90

10.

Determine whether a tangent line is shown in each diagram. (Use the Pythagorean Theorem)

a)

Yes

b)

No

11.

The polygon circumscribes a circle. What is the perimeter of the polygon?

a)

82

b)

32

c)

21

d)

42

12.
Find the perimeter of the quadrilateral.
a)
A
b)
B
c)
C
d)
D
13.

Find the value of X

a)

3

b)

16

c)

8

d)

12

14.

Find the length of LK

a)

24

b)

20.25

c)

17.5

d)

12.32

15.

Find the perimeter

a)

39.5

b)

32.8

c)

56.3

d)

79.2

16.

Find the perimeter

a)

54.4

b)

63

c)

71

d)

82.4

17.
The radius of a circle is
a)
The measurement from the center of a circle to an edge of the circle.
b)
The measurement around the circle
c)
The measurement from and edge of the circle to another edge through the center
d)
A line perpendicular to the diameter of the circle
18.
A line segment that passes through the center of a circle, connecting two points on a circle is called ________________.
a)
diameter
b)
radius
c)
circumference
d)
area
19.
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
20.

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

21.

A tangent line intersects the circle ...

a)

in exactly two points

b)

in exactly one point

c)

through the center

d)

with the diameter

22.

Which shows a tangent line?

a)
b)
c)
d)
23.

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

24.

The polygon circumscribes the circle. Find the perimeter.

a)

78

b)

84

c)

72

d)

86

25.

Point O is the center of each circle. Assume the lines that appear to be tangent are tangent. What is the value of the variable?

a)

8

b)

9

c)

15

d)

17

26.

What is the equation of the circle?

a)

(x+1)2 + (y +1)2 = 3

b)

(x+1)2 + (y -1)2 = 3

c)

(x+1)2 + (y +1)2 = 9

d)

(x-1)2 + (y -1)2 = 9

27.
Write the equation at the origin with radius 6.  
a)
x2 + y2 = 6
b)
x2 + y2 = 36
c)
x  + y = 6
d)
x + y = 36
28.
Write the equation of a circle with center (7, 0) with radius 3. 
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
29.
What is the equation of this circle?
a)
(x + 3)2 + (y - 1)2 = 9
b)
(x - 3)2 + (y + 1)2 = 9
c)
(x - 3)2 + (y + 1)2 = 3
d)
(x + 3)2 + (y - 1)2 = 3
30.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
31.
In the equation (x-4)2+(x-3)2=25, the radius is
a)
4
b)
3
c)
5
d)
25
32.
In the equation
(x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
33.
What is the center of the circle with this equation is (x+2)²+(y-4)²=41?
a)
(2,-5)
b)
(-2,4)
c)
(2,-4)
d)
(-2, -4)
34.
What are the coordinates of the center and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?
a)
Center (4,3)
Radius = 5 units
b)
Center (4,3)
Radius = 25 units
c)
Center (-4,-3)
Radius = 25 units
d)
Center (-4,-3)
Radius = 5 units
35.
What is the center and radius for a circle with the equation:
(x-4)2+(y+2)2=25
a)
C:(4, -2), r=5
b)
C:(-4, 2), r=5
c)
C:(4, -2), r=25
d)
C:(-4, 2), r=25
36.
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
37.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
38.
The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.
a)
(x - 2)2 + (y + 5)2 = 36
b)
(x - 5)2 + (y + 2)2 = 6
c)
(x + 5)2 + (y - 2)2 = 36
d)
(x + 2)2 + (y - 5)2 = 6
39.
What is the radius of the circle with equation x2 + y2 = 1?
a)
0
b)
0.5
c)
1
d)
2
40.

Write the equation of the circle with center C( -5 , 8 ) and radius = 7

a)

( x - 5 )2 + ( y + 8 )2 = 14

b)

( x - 5 )2 + ( y - 8 )2 = 49

c)

( x - 5 )2 + ( y + 8 )2 = 49

d)

( x + 5 )2 + ( y - 8 )2 = 49

41.
In the equation (x+2)2+(y-3)2=4, the center of the circle is at...
a)
(-2, 3)
b)
(-3, 2)
c)
(2, -3)
d)
(3, -2)
42.
In the equation (x-4)2+(x-3)2=25, the center of the circle is at...
a)
(-3, -4)
b)
(4, 3)
c)
(-4, -3)
d)
(3, 4)
43.
Name the circle
a)
A
b)
B
c)
C
d)
D
44.

Find the given angle.

a)

59°

b)

78°

c)

43°

d)

242°

45.

What is the arc measure FE?

a)

54°

b)

90°

c)

27°

d)

31.5°

46.

What is the measure of angle A?

a)

34°

b)

180°

c)

112°

d)

79°

47.

Find a and b.

a)

a = 74°

b = 93°

b)

a = 93°

b = 74°

c)

a = 87°

b = 106°

d)

a = 106°

b = 93°

48.
a)
A
b)
B
c)
C
d)
D
49.
a)
A
b)
B
c)
C
d)
D
50.
How many degrees are in a cirlce?
a)
90
b)
180
c)
270
d)
360
51.

What is m < T

a)

m<T = 28.5 deg

b)

m< T = 180 deg

c)

m< T = 114 deg

d)

m< T = 90 deg

52.

What is m<GFH

a)

m< GFH = 180 deg

b)

m< GFH = 244 deg

c)

m< GFH = 32 deg

d)

m< GFH = 116 deg

53.

What is m<FHG

a)

m<FHG = 45.5 deg

b)

m<FHG = 91 deg

c)

m<FHG = 182 deg

d)

m<FHG = 90 deg

54.

Find m< T

a)

m< T = 35 deg

b)

m< T = 40 deg

c)

m< T = 55 deg

d)

m< T = 5 deg

55.

Find the measure of angle H.

a)

40

b)

37

c)

23

d)

26

56.

Find the measure of angle B.

a)

32

b)

24

c)

44

d)

36

57.

Find the measure of angle M.

a)

91

b)

51

c)

118

d)

67

58.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
59.
Solve for x.
a)
140
b)
89
c)
51
d)
38
60.
Solve for x.
a)
29
b)
33
c)
41.5
d)
50
61.

Determine the measure of ∠NOP

a)

15°

b)

20°

c)

40°

d)

50°

62.

Determine the measure of ∠UVS

a)

19.5°

b)

39°

c)

78°

d)

102°

63.
Find the measure of angle EFH.
a)
61
b)
65
c)
114
d)
130
64.
Find the measure of angle ABD.
a)
14
b)
51
c)
37
d)
65
65.

Find the measure of the missing arc.

a)

70°

b)

100.5°

c)

201°

d)

140°

66.
Find the measure of angle ADB.
a)
47.5
b)
85
c)
132.5
d)
180
67.
Find the measure of angle MNQ.
a)
89
b)
45
c)
158
d)
22
68.

Solve for x.

a)

2

b)

3

c)

4

d)

12

69.
Find the length of VZ.
a)
8
b)
9
c)
10
d)
17
70.
Lines AO and BO are tangent. What is the measure of BO?
a)
20
b)
15
c)
10
d)
5
71.

What kind of segments are being shown?

a)

secant

b)

tangent

c)

both

72.

How would you set up the equation to solve for x?

a)

4x-9 = 15

b)

4x-9 = 152

c)

152 = (4x-9)2

73.
(x + 3)2
a)
x2 +6x+9
b)
x2 +9
c)
x2 +9x+6
d)
x2 +6
74.
(x−5)2
a)
x2 +10x+25
b)
x2 − 25
c)
x2 −10x+25
d)
x2 +25
75.

solve for the value of x

a)

2230

b)

68.50

c)

111.50

d)

248.50

76.

solve for the value of x

a)

64.50

b)

231.50

c)

115.50

d)

244.50

77.

solve for the value of x

a)

70

b)

140

c)

1640

d)

3280

78.

a)

A

b)

B

c)

C

d)

D

79.

a)

A

b)

B

c)

C

d)

D

80.

a)

A

b)

B

c)

C

d)

D