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G-CHAPTER 9 TEST 2023-2024

Total questions: 148

Worksheet time: 13hrs 30mins

Name
Class
Date
1.

Is the set of all points that are of the same distance from point in a plane.

a)

chord

b)

circle

c)

plane

d)

chord

2.

The segment from the center to any point on the circle is called__________.

a)

chord

b)

radius

c)

diameter

d)

segment

3.

A segment whose endpoints both lie on the circle is called _______.

a)

chord

b)

diameter

c)

radius

d)

arc

4.

A chord that passes through the center of the circle is called ________.

a)

radius

b)

major arc

c)

interior of the corcle

d)

diameter

5.

A ___________ is an angle whose vertex is the center of the circle.

a)

central angle

b)

inscribed angle

c)

right angle

d)

obtuse angle

6.
What is segment OC?
a)
diameter
b)
radius
c)
tangent
d)
chord
7.
What is segment PQ?
a)
diameter
b)
radius
c)
tangent
d)
chord
8.
What is segment AB?
a)
diameter
b)
radius
c)
tangent
d)
chord
9.
What is O?
a)
diameter
b)
radius
c)
center
d)
chord
10.
What is line AB?
a)
diameter
b)
chord
c)
secant
d)
tangent
11.
What is line PT?
a)
chord
b)
secant
c)
point of tangency
d)
tangent
12.
What is P?
a)
chord
b)
secant
c)
point of tangency
d)
tangent
13.
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
14.
Given a circle with a radius of 8 cm, what is the diameter?
a)
4 cm
b)
8 cm
c)
16 cm
d)
20 cm
15.
A chord that passes through the center of the circle is a ________.
a)
chord
b)
diameter
c)
radius
d)
tangent
16.

Define "tangent line"

a)

A line which intersects a circle at exactly one point

b)

A line that intersects a circle at two or more points

c)

A line that does not intersect a circle

d)

A line made up of the opposite and adjacent sides of the circle

17.

Define "radius"

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.

What is the mathematical name given for the line AB?

a)

Radius

b)

Diamter

c)

Tangent

d)

Chord

19.

What is the mathematical name given for the line AB?

a)

Diameter

b)

Radius

c)

Tangent

d)

Chord

20.

What is the measure of a semicircle?

a)

60

b)

180

c)

70

d)

90

21.

How many total degrees make a circle?

a)

360°360\degree

b)

180°180\degree

c)

90°90\degree

d)

45°45\degree

22.

Which of the following represents a central angle?

a)
b)
c)
23.

What is does x equal?

a)

160°160\degree

b)

80°80\degree

c)

40°40\degree

d)

360°360\degree

24.

What is the measure of

QSP\angle QSP  ?

a)

80°80\degree  

b)

100°100\degree  

c)

140°140\degree  

d)

220°220\degree  

25.

What is the measure of

UWT\angle UWT  ?

a)

210°210\degree  

b)

150°150\degree  

c)

130°130\degree  

d)

80°80\degree  

26.
What is the measure of arc AD?
a)
38
b)
142
c)
180
d)
153
27.
What is the measure of arc AB?
a)
140
b)
142
c)
180
d)
153
28.
What is the measure of arc AYB
a)
50
b)
100
c)
180
d)
260
29.
What is the measure of ∠PTQ?
a)
100°
b)
140°
c)
180°
d)
120°
30.
If the measure of arc ABC = 210°, what is the measure of arc AC?
a)
150°
b)
100°
c)
210°
d)
105°
31.
Solve for x. 
a)
5
b)
20
c)
40
d)
85
32.
Determine the measure of arc KL
a)
268
b)
92
c)
88
d)
272
33.
Solve for the missing angle.
a)
45o
b)
90o
c)
22.5o
d)
128o
34.

A central angle has it's vertex _________ the circle

a)

at the center of

b)

on

c)

outside

d)

inside

35.

A central angle is __________ its intercepted arc

a)

equal to

b)

half the measure of

c)

supplementary to

d)

not related to

36.
Which segment is a radius?
a)
LM
b)
DC
c)
BD
d)
ML
37.

Give an example of a chord

a)

line HI

b)

line KL

c)

line GH

d)

line GJ

38.
In a circle (or congruent circles), congruent arcs:
a)
have congruent chords
b)
have congruent points
c)
are twice the measure of their radii
d)
can climb a hippo
39.
In a circle (or congruent circles), chords that are the same distance from the center:
a)
are similar
b)
have the same name
c)
are congruent to each other
d)
are walking dead
40.
Find the value of x.
a)
10
b)
181
c)
34
d)
40
41.

Find PK.

a)

7

b)

22

c)

44

d)

11

42.

Find the arc measure for arc RQT

a)

335˚

b)

126˚

c)

224˚

d)

94˚

43.

Find the measure of arc NM.

a)

60

b)

55

c)

65

d)

180

44.
Find the value of x.
a)
31,3
b)
8
c)
16.3
d)
-8
45.

Solve for the indicated Segment

a)

17

b)

22

c)

5.5

d)

11

46.

Solve for the indicated Arc

a)

80°

b)

40°

c)

140°

d)

180°

47.
Use chords to solve for x
a)
x = 3 cm
b)
x = 4 cm
c)
x = 5 cm
d)
x = 6 cm
48.

Find the given angle.

a)

59°

b)

78°

c)

43°

d)

242°

49.

What is the arc measure FE?

a)

54°

b)

90°

c)

27°

d)

31.5°

50.

What is x?

a)

15

b)

23

c)

2

d)

92

51.

Solve for x.

a)

37.5

b)

11

c)

118

d)

15

52.

Solve for x.

a)

90

b)

12

c)

47

d)

45

53.
a)

65°

b)

125°

c)

92°

d)

152°

54.
a)

258°

b)

129°

c)

188°

d)

169°

55.
a)

A

b)

B

c)

C

d)

D

56.
a)

A

b)

B

c)

C

d)

D

57.
a)
A
b)
B
c)
C
d)
D
58.
a)
A
b)
B
c)
C
d)
D
59.
a)

A

b)

B

c)

C

d)

D

60.
a)
A
b)
B
c)
C
d)
D
61.
Determine the measure of Arc BA.
a)
A
b)
B
c)
C
d)
D
62.
What is m∠ACB?
a)
67.5°
b)
90°
c)
22.5°
d)
45°
63.
a)
A
b)
B
c)
C
d)
D
64.
Find the measure of <E.
a)
7
b)
8
c)
44
65.
Find the measure of <B
a)
4
b)
20
c)
10
d)
47
66.
Find the measure of <G
a)
54
b)
128
c)
27
67.
Find the measure of <G
a)
54
b)
128
c)
27
68.
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
69.

Determine if a tangent line is shown in the picture.

Tentukan adakah terdapat garis tangen dalam rajah di atas.

a)

Yes

b)

No

70.

Determine if a tangent line is shown in the picture.

Pastikan sama ada garis tangen adalah betul.

a)

Yes

b)

No

71.

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.

Andaikan terdapat garis tangen dalam bulatan, O. Cari nilai x yang paling hampir.

a)

11.7

b)

10.8

c)

13.0

d)

14.2

72.

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.

Andaikan terdapat garis tangen dalam bulatan berpusat O, cari nilai bagi x kepada puluh terdekat.

a)

16 in

b)

8 in

c)

11 in

d)

6 in

73.

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?

Titik O ialah pusat bulatan. Andaikan garis yang wujud adalah tangen. Apakah nilai bagi pembolehubah?

a)

8

b)

9

c)

15

d)

17

74.

AC is a tangent to circle O at point C. What is the length of AC?

a)

12 cm

b)

13 cm

c)

14 cm

d)

15 cm

75.

Which shows a tangent line?

a)
b)
c)
d)
76.

Determine if a tangent line is shown in the picture.

a)

Yes

b)

No

c)

Note Sure

77.
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
78.

XV is the diameter of the circle. That makes angle W, what type of angle?

a)

obtuse

b)

acute

c)

right

79.

Find the measure of angle V

a)

42°42\degree

b)

90°90\degree

c)

48°48\degree

80.

WX is what part of the circle?

a)

Diameter

b)

Radius

c)

Tangent

81.

Solve for x

a)

39°39\degree

b)

96°96\degree

c)

180°180\degree

82.

Find the measure of angle W

a)

84°84\degree

b)

96°96\degree

c)

51°51\degree

83.

Angle L measures

a)

145o

b)

45o

c)

90o

d)

35o

84.

Angle R is right because

a)

the triangles is circumscribed and SQ is a radius

b)

the triangles is inscribed and SQ is a radius

c)

the triangles is inscribed and SQ is a diameter

d)

triangle QRS is inscribed

85.

Angle K measures

a)

90o

b)

35o

c)

65o

d)

55o

86.

The measure of arc XW is

a)

45




b)

90

c)

135

d)

67.5

87.

The measure of arc XW is

a)

112




b)

180

c)

68

d)

248

88.
Find m∠PRQ.
a)
39°
b)
90°
c)
51°
d)
15°
89.

Find the measure of

U.\angle U.  



(a)  

90.

What is the measure of

arc GIarc\ GI  



(a)  

91.

Find the measure of angle FGH

a)

45°45\degree

b)

180°180\degree

c)

90°90\degree

d)

75°75\degree

92.
a)
A
b)
B
c)
C
d)
D
93.

What is the arc measure FE?

a)

54°

b)

90°

c)

27°

d)

31.5°

94.
What is AB?
a)
diameter
b)
center
c)
circumference
d)
radius
95.

Solve for x.

a)

90

b)

12

c)

47

d)

45

96.

If mCBD is 34°m\angle CBD\ is\ 34\degree  , what is the measure of  arc  BACarc\ \ BAC  ?

a)

112°112\degree  

b)

56°56\degree  

c)

68°68\degree  

d)

34°34\degree  

97.

Find the m∠VXW.

a)

35

b)

55

c)

40

d)

25

98.

K=\angle K=  

a)

45°45\degree  

b)

135°135\degree  

c)

88°88\degree  

d)

8°8\degree  

99.

V=\angle V=  

a)

84°84\degree  

b)

129°129\degree  

c)

49°49\degree  

d)

96°96\degree  

100.
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
101.

Solve for x.

a)

14

b)

10

c)

11

d)

2

102.

Find the value of d.

a)

115

b)

65

c)

96

d)

180

103.
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
104.

Find the value of x

a)

100

b)

105

c)

95

d)

90

105.
Solve for x and y
a)
x = 11, y = 4
b)
x = 4, y = 11
c)
x = 0, y = 15
d)
x = 15, y = 0
106.

Find the value of d.

a)

115

b)

65

c)

96

d)

180

107.
Solve for x and y
a)
x = 11, y = 4
b)
x = 4, y = 11
c)
x = 0, y = 15
d)
x = 15, y = 0
108.
Find m∠R.
a)
24⁰
b)
41⁰
c)
67⁰
d)
139⁰
109.

Quadrilateral ABCD is inscribed in circle O, as shown below.

a)

x = 85 and y = 50

b)

x = 90 and y = 45

c)

x = 110 and y = 75

d)

x = 115 and y = 70

110.

If a quadrilateral is inscribed in a circle, then its ____angles are _____.

a)

adjacent; complimentary

b)

opposite; complimentary

c)

adjacent; supplementary

d)

opposite; supplementary

111.

Quadrilateral ABCD is inscribed in the circle. Which sentence is true?

a)

A and B are supplementary

b)

A and C are supplementary

c)

m∠ A = m∠ B

d)

m∠ C = m∠ D

112.

In the diagram below, quadrilateral JUMP is inscribed in a circle..

Opposite angles J and M must be

a)

right

b)

complementary

c)

supplementary

d)

congruent

113.

What is the measure of arc EAB  in circle F?

*HINT: Find ARC CB FIRST THEN 2( ANGLE EDC) =ARC EAB*

a)

72

b)

92

c)

148

d)

200

114.
Solve for x and y
a)
x = 11, y = 4
b)
x = 4, y = 11
c)
x = 0, y = 15
d)
x = 15, y = 0
115.
Solve for x and y
a)
x = 11, y = 4
b)
x = 4, y = 11
c)
x = 0, y = 15
d)
x = 15, y = 0
116.

What is the measure of arc EAB in circle F?

a)

72°

b)

92°

c)

148°

d)

200°

117.

Find the value of x.

a)

45

b)

10

c)

20

d)

90

118.

Find the value of x.

a)

88

b)

38

c)

34

d)

44

119.

Find the value of x.

a)

15

b)

18

c)

21

d)

24

120.

Find the value of x.

a)

20.5

b)

9.5

c)

3

d)

5

121.
Solve for x.
a)
29
b)
33
c)
41.5
d)
50
122.
What is the measure of angle 2?
a)
80
b)
45
c)
125
d)
40
123.
Find the measure of angle ABD.
a)
14
b)
51
c)
37
d)
65
124.
What is the measure of angle 1?
a)
130
b)
65
c)
44
d)
86
125.

Find the measure of angle MNQ.

a)

89

b)

158

c)

91

d)

22

126.
Find the measure of ∠ABE.
a)
129⁰
b)
51⁰
c)
100⁰
d)
65⁰
127.

Determine the measure of ∠NOP

a)

15°

b)

20°

c)

40°

d)

50°

128.

∠ ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132° , what is the measure of ∠ ABD?

a)

30°

b)

36°

c)

42°

d)

48°

129.

If arc VY = 132° and ∠ YUV = 41° , what is the measure of arc XV?

a)

35°

b)

40°

c)

45°

d)

50°

130.

What is the definition of a chord?

a)

A line segment whose endpoints are on a circle.

b)

A line that passes through the center of the circle.

c)

A line segment that intersects at a point on the circle.

d)

A line that intersects a circle in two points.

131.

What is the definition of a tangent?

a)

A line that intersects the circle on two points.

b)

A line that passes through the center of the circle.

c)

A line segment that passes through the center of the circle.

d)

A line that intersects the circle on only one point.

132.

What is the definition of a secant?

a)

A line segment whose endpoints are on the circle.

b)

A line that intersects a circle in one point.

c)

A line that intersects a circle in two points.

d)

A line segment which intersects the circle at the point of secancy.

133.

What is the point of tangency?

a)

The point where the tangent intersects a circle.

b)

The point where the tangent interssects the center of the circle.

c)

The point where the tangent intersects with another tangent.

d)

The point where the tangent intersects with a secant.

134.
Find the measure of angle ADB.
a)
47.5
b)
85
c)
132.5
d)
180
135.
Solve for x.
a)
140
b)
89
c)
51
d)
38
136.
Find the measure of angle ABD.
a)
14
b)
51
c)
37
d)
65
137.
Solve for x.
a)
10
b)
85
c)
170
d)
180
138.
a)
240
b)
230
c)
205
d)
255
139.
a)
33
b)
18
c)
46
d)
16
140.
a)
6
b)
8
c)
10
d)
5
141.
a)
8
b)
6
c)
9
d)
10
142.
a)
3
b)
5
c)
15
d)
12
143.
a)
25
b)
16
c)
4
d)
18
144.
a)
1
b)
2
c)
3
d)
4
145.
a)
4
b)
18
c)
3
d)
9
146.
a)
9
b)
4
c)
5
d)
36
147.
a)
8
b)
13
c)
10
d)
3
148.
a)
7
b)
2
c)
4
d)
5