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Worksheets

Circles Review

Total questions: 132

Worksheet time: 6hrs 24mins

Name
Class
Date
1.

Which CONTAIN a chord?

a)

secant

b)

tangent

c)

secant and tangent

2.

Which arc(s) can be named with 2 points?

a)

minor

b)

semicircle

c)

major arc

d)

none of these

3.

CHECK ALL minor arcs for the circle.

a)
b)
c)
d)
e)
4.

Identify the MAJOR ARCS (mark ALL that appy)

a)
b)
c)
d)
5.

Identify the SEMICIRCLES (mark ALL that appy)

a)
b)
c)
d)
6.

The name of the circle is ____

a)

E

b)

R

c)

N

d)

J

7.

Which has exactly 2 points ON the circle? (Choose all that apply)

a)

secant

b)

tangent

c)

chord

d)

none of these

8.

Which has exactly 1 point ON the circle? (Choose all that apply)

a)

secant

b)

tangent

c)

chord

d)

none of these

9.

A diameter:

a)

A segment whose endpoints are on the circle and passes through the center

b)

A segment whose endpoints are on the circle

c)

A segment whose endpoints are the center and any other point on the circle

10.

A chord:

a)

A segment whose endpoints are on the circle

b)

A line that intersects the circle at exactly one point

c)

A line that intersects the circle at two points

11.

A tangent:

a)

A segment whose endpoints are on the circle

b)

A line that intersects the circle at exactly one point

c)

A line that intersects the circle at two points

d)

A segment whose endpoints are the center and any point on the circle

12.

A secant:

a)

A segment whose endpoints are the center and any point on the circle

b)

A segment whose endpoints are on the circle

c)

A line that intersects the circle at two points

d)

A segment whose endpoints are on the circle and pass through the center

13.

Which of the following is the radius of the circle in the image?

a)

Points A to B

b)

Arc DE

c)

Arc BC

d)

Points O to B

14.

Which of the following is the chord of the circle in the image?

a)

Points A to B

b)

Arc DE

c)

Points D to E

d)

Points O to B

15.

Which of the following is the diameter of the circle in the image?

a)

Points A to B

b)

Arc BC

c)

Points A to O

d)

Points O to B

16.
Why is a circle not a polygon?
a)
It has one angle.
b)
It is too wide.
c)
It has no sides or angles.
d)
It is not a triangle.
17.

What is the vocabulary/description for the red shape within this picture?

a)

a tangent

b)

a secant

c)

a chord

d)

a radius

e)

a diameter

18.

What is the vocabulary/description for the red shapes within this picture?

a)

a pair of tangent lines that intersect outside of the circle

b)

a pair of chords that intersect inside of the circle

c)

a secant line and a tangent line that intersects outside of the circle

d)

a secant line and a tangent line that intersects on the circle

19.

What is the vocabulary/description for the red shape within this picture?

a)

a secant

b)

a tangent

c)

a chord

d)

a diameter

e)

a radius

20.

What is the vocabulary/description for the red shape within this picture?

a)

a secant line

b)

a tangent line

c)

a diameter

d)

a chord

e)

a radius

21.
Which line segment represents the diameter of the circle?
a)
PQ
b)
AO
c)
AB
d)
OC
22.
Which line segment represents the radius of the circle? 
a)
WM
b)
MZ
c)
XM
d)
All of the above
23.

Segment AC is best described as a....

a)

chord

b)

diameter

c)

secant

d)

radius

24.

Line BH is best described as a

a)

chord

b)

secant

c)

tangent

d)

diameter

25.

Segment AD can best be described as

a)

secant

b)

tangent

c)

radius

d)

diameter

26.

Line KG is best described as a

a)

tangent

b)

secant

c)

diameter

d)

chord

27.

F is a

a)

tangent

b)

point of tangency

c)

circle

d)

point of a secant

28.

Which of the following is the radius of the circle in the image?

a)

Segment AB

b)

Segment DE

c)

Segment BC

d)

Segment OB

29.
What best describes segment AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
30.

Which best describes segment AB?

a)

radius

b)

secant

c)

tangent

d)

diameter

31.
Which best describes line AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
32.
Which best describes line AB?
a)
chord
b)
secant
c)
tangent
d)
diameter
33.

What is the name of the circle?

a)

Circle A

b)

Circle B

c)

Circle HBC

d)

Circle DAB

34.

Name a radius of the circle.

a)

BD\overline{BD}

b)

HC\overline{HC}

c)

AG\overline{AG}

d)

DA\overline{DA}

35.

Name a chord of the circle.

a)

BA\overline{BA}

b)

HC\overline{HC}

c)

GE\overline{GE}

d)

DA\overline{DA}

36.

Name a secant of the circle.

a)

Segment BA

b)

Line FG

c)

Line GE

d)

Line CH

37.

Name a tangent of the circle.

a)

Line AH

b)

Segment DA

c)

Line GE

d)

Line CH

38.

What is the point of tangency for this circle?

a)

C

b)

F

c)

H

d)

D

e)

B

39.

In the figure AB\overline{AB}  is tangent to circle C. Find the length of  DB\overline{DB}  .

a)

17

b)

8

c)

21

d)

9

40.

What can you conlude?

a)

AB and AC are not congruent.

b)

AB= half of AC

c)

AC = half of AB

d)

AB=AC

41.

Points B and D are points of tangency. Find the values of x.

a)

3

b)

4

c)

5

d)

6

42.

What is the value of x?

a)

22

b)

25

c)

15

d)

20

43.

What is the measure of angle 1?

a)

120

b)

40

c)

30

d)

60

44.

Diagram shows a tangent to a circle.

a)

True

b)

False

45.

What is the measure of angle 2?

a)

80

b)

45

c)

125

d)

40

46.

What is the value of x?

a)

11

b)

88

c)

44

d)

22

47.

What is the value of y?

a)

27

b)

54

c)

108

d)

540

48.

What is the value of w?

a)

52

b)

104

c)

76

d)

108

49.

In the diagram shown, chords AB\overline{AB} and  CD\overline{CD} intersect at point  E.E. The measure of arc AC is 120°120\degree , the measure of arc DBDB is (2x)°\left(2x\right)\degree and  mAEC=(4x)°.m\angle AEC=\left(4x\right)\degree. What is the degree measure of  AED?\angle AED?          

a)

20°20\degree  

b)

100°100\degree  

c)

132°132\degree  

d)

80°80\degree  

50.

Find the mBm\angle B if the measure of arc AB=120°AB=120\degree and the  mA=42°.m\angle A=42\degree.    

a)

18°18\degree  

b)

60°60\degree  

c)

78°78\degree  

d)

156°156\degree  

51.

A 2-D shape where all points are the same distance from the center

a)

Circle

b)

Radius

c)

Diameter

d)

Triangle

52.

A line segment with one endpoint at the center and another on the circle

a)

Diameter

b)

Chord

c)

Radius

d)

Secant

53.

Which of the following represents a radius

a)

segment GD

b)

line XM

c)

segment JD

d)

segment AC

54.

Which of the following represents a secant?

a)

segment GD

b)

line XM

c)

segment AC

d)

line AC

55.

Which of the following represents a tangent?

a)

line XM

b)

point X

c)

segment AC

d)

line AC

56.

Which of the following represents a chord?

a)

segment XM

b)

segment GD

c)

segment GJ

d)

line AC

57.

What does segment GD represent?

a)

radius

b)

diameter

c)

tangent

d)

secant

58.

Which of the following represents a minor arc? *Check all that apply*

a)

arc ACE

b)

arc BC

c)

arc BDE

d)

arc EA

59.

Which of the following represents a major arc? *Check all that apply*

a)

arc ACE

b)

arc ABC

c)

arc BCE

d)

arc EA

60.

What type of angle is shown below?

a)

tangent angle

b)

inverse angle

c)

central angle

d)

circle angle

61.

Which of the following represents the point of tangency?

a)

point J

b)

point X

c)

point M

d)

point C

62.
A tangent to a circle is ________________________ to the radius drawn to the point of tangency.
a)
congruent
b)
perpendicular
c)
complimentary
d)
supplementary
63.
What is the value of x?
a)
92
b)
25
c)
12.5
d)
105
64.
Find the m∠ABD.
a)
14
b)
51
c)
37
d)
65
65.
Find the measure of arc KM.
a)
29
b)
33
c)
41.5
d)
50
66.
Solve for x.
a)
x = 35.67
b)
x = -1
c)
x = 14
d)
x = -4.33
67.
Find the value of x.
a)
x = 17
b)
x = 16
c)
x = 29.67
d)
x = 18
68.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
69.
What is the measure of angle 1?
a)
130
b)
65
c)
44
d)
86
70.
How many degrees are in a cirlce?
a)
90
b)
180
c)
270
d)
360
71.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

72.

What type of arc is arc AEB?

a)

Major

b)

Minor

c)

Semi-circle

d)

Noah's

73.

What is the measure of arc YZX?

a)

231

b)

255

c)

168

d)

200

74.

What do we call the RED line (#1)?

a)

secant

b)

tangent

c)

radius

d)

diameter

e)

chord

75.

What do we call the ORANGE line (#2)?

a)

arc

b)

radius

c)

chord

d)

diameter

e)

secant

76.

What do we call the BLUE segment (#3)?

a)

radius

b)

tangent

c)

secant

d)

chord

e)

arc

77.

What do we call the PURPLE sement (#4)?

a)

secant

b)

tangent

c)

radius

d)

diameter

e)

chord

78.

What do we call the BLACK segment (#5)?

a)

chord

b)

secant

c)

tangent

d)

arc

e)

radius

79.

What do we call the GREEN measurement (#6)?

a)

secant

b)

tangent

c)

arc

d)

diameter

e)

chord

80.

Find X:

a)

50

b)

100

c)

150

d)

200

81.

Find X:

a)

30

b)

60

c)

90

d)

120

82.

Find X:

a)

80

b)

40

c)

160

d)

90

83.

Find X:

a)

30

b)

60

c)

120

d)

180

84.

Find X:

a)

80

b)

160

c)

120

d)

240

85.

Find X:

a)

30

b)

60

c)

90

d)

120

86.

Find the indicated measure. Enter your answer as a number.

(a)  

87.

Find the indicated measure. Enter your answer as a number.

(a)  

88.

Find the value of x. Enter your answer as a number only.

(a)  

89.

Find the indicated measure. Enter your answer as a number only.

(a)  

90.

Find the indicated measure. Enter your answer as a number only.

(a)  

91.
inscribed angle: an angle with its vertex _____________ the circle
a)
at the center of
b)
on
92.
a)
A
b)
B
c)
C
d)
D
93.
Solve for x. 
a)
5
b)
20
c)
40
d)
85
94.
Which is true of a minor arc?
a)
It forms half a circle.
b)
It forms a whole circle.
c)
It measures greater than 180 degrees. 
d)
It measures less than 180 degrees.
95.

J=\angle J=  

a)

88°88\degree  

b)

45°45\degree  

c)

135°135\degree  

d)

108°108\degree  

96.
The intercepted arc of an inscribed angle  is ___________________ the measure of the inscribed angle.
a)
congruent to
b)
half
c)
double
d)
supplementary to 
97.
Find the measure of <E.
a)
7
b)
8
c)
44
98.

Solve for x.

(a)  

99.
Find the measure of arc AB.
a)
17
b)
34
c)
68
d)
146
100.
The distance around a circle
a)
Diameter
b)
Radius
c)
Circumference
d)
Area
101.
An angle in a circle with vertex on the center of the circle
a)
Central angle
b)
Angle
c)
Inscribed angle
d)
Circle
102.
An angle in a circle with vertex on the circle itself
a)
Angle
b)
Central angle
c)
Inscribed angle
d)
Chord
103.
Find m∠PRQ.
a)
39°
b)
90°
c)
51°
d)
15°
104.
a)
A
b)
B
c)
C
d)
D
105.
What is m∠LMO?
(Segment LO is a diameter of Circle P)
a)
30°
b)
45°
c)
80°
d)
90°
106.
What is m∠ACB?
a)
67.5°
b)
90°
c)
22.5°
d)
45°
107.
Determine the measure of Arc BA.
a)
A
b)
B
c)
C
d)
D
108.

Which number best represents an inscribed angle?

a)

1

b)

2

c)

8

d)

9

109.
a)
A
b)
B
c)
C
d)
D
110.
a)
A
b)
B
c)
C
d)
D
111.
a)
A
b)
B
c)
C
d)
D
112.
a)

A

b)

B

c)

C

d)

D

113.
a)
A
b)
B
c)
C
d)
D
114.
a)

A

b)

B

c)

C

d)

D

115.
Which number best represents a diameter?
a)
2
b)
5
c)
6
d)
7
116.
Which number best represents a tangent?
a)
3
b)
4
c)
5
d)
6
117.
What is the measure of arc AYB
a)
50
b)
100
c)
180
d)
260
118.
What is the measure of arc AXB
a)
50
b)
100
c)
180
d)
260
119.
a)
x = 160
b)
x = 40
c)
x = 80
d)
x = 360
120.
What is the measure of arc AD?
a)
38
b)
142
c)
180
d)
153
121.
Find m∠PRQ.
a)
39°
b)
90°
c)
51°
d)
15°
122.

What is x?

(a)  

123.

What is x?

(a)  

124.

What is the measure of the missing angle?

(a)  

125.

What is the measure of the internal angle?

(a)  

126.
Find the measure of the ?
a)
48˚
b)
110˚
c)
122˚
d)
84˚
127.
Find the measure of the ?
a)
98˚
b)
140˚
c)
122˚
d)
100˚
128.
What is the measure of angle HKI?
a)
72
b)
73
c)
74
d)
75
129.
Solve for x.
a)
29
b)
33
c)
41.5
d)
50
130.

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

a)

93°

b)

137°

c)

120°

d)

102°

131.

Solve for x. Assume that lines which appear to be diameters are diameters.

a)

6

b)

5

c)

7

d)

-8

132.

What is the value of x?

a)

5

b)

7

c)

19

d)

35