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G-CHAPTER 3 TEST 2024-2025

Total questions: 115

Worksheet time: 4hrs 13mins

Name
Class
Date
1.
.
.
.
.
What is the name of this kind of triangle?
a)
Right
b)
Isosceles
c)
Scalene
d)
Equilateral
2.
What kind of triangle is this?
a)
Acute
b)
Super
c)
Right
d)
Obtuse
3.
.
.
.
What is the name of this kind of triangle?
a)
Right
b)
Scalene
c)
Isosceles
d)
Equilateral
4.
What kind of triangle is this?
a)
Acute
b)
Right
c)
Sparkly
d)
Obtuse
5.
How many acute angles must an acute triangle have?
a)
2
b)
1
c)
4
d)
3
6.
A triangle has angle measurements of 26°, 59°, and 95°. What kind of triangle is it?
a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
7.
A triangle has angle measurements of 54°, 52°, and 74°. What kind of triangle is it?

a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
8.
A triangle has angle measurements of 163°, 2°, and 15°. What kind of triangle is it?

a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
9.
A triangle has angle measurements of 74°, 90°, and 16°. What kind of triangle is it?

a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
10.
A triangle has angle measurements of 27°, 72°, and 81°. What kind of triangle is it?

a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
11.
A triangle has side lengths of 19 centimetres, 19 centimetres, and 20 centimetres. Is this triangle equilateral?

a)
equilateral triangle
b)
isosceles triangle  
c)
scalene triangle
d)
none of the above
12.
A triangle has two 71° angles and one 38° angle. Is this triangle isosceles?

a)
yes 
b)
no
13.
a)
yes
b)
no
14.
What type of triangle has only one right angle and two congruent sides?
a)
Right Isosceles Triangle
b)
Obtuse Isosceles Triangle
c)
Right Scalene Triangle
d)
Acute Scalene Triangle
15.
What type of triangle has only one obtuse angle and two congruent sides?
a)
Right Isosceles Triangle
b)
Obtuse Isosceles Triangle
c)
Right Scalene Triangle
d)
Acute Scalene Triangle
16.
Classify the triangle by angles and sides.
a)
Equiangular Equilateral
b)
Right Isosceles
c)
Right Scalene
d)
Acute Isosceles
17.

A triangle with 3 congruent sides is called a(n) ______

a)

Isosceles Triangle

b)

Equilateral Triangle

c)

Obtuse Triangle

d)

Irregular Triangle

18.

A scalene triangle has _____

a)

3 different angle names

b)

no congruent sides

c)

all sides congruent

d)

3 congruent angles

19.

A triangle with at least one angle greater than 90 degrees is called a(n) ________ triangle

a)

obtuse

b)

left

c)

right

d)

acute

20.
Classify the triangle by angles and sides.
a)
Equiangular Equilateral
b)
Right Isosceles
c)
Right Scalene
d)
Acute Isosceles
21.

Identify the triangle by its sides and angles

a)

Equilateral

b)

Obtuse Equilateral

c)

Acute Equilateral

d)

Acute Isosceles

22.

Identify the triangle by its sides and angles

a)

Right Isosceles

b)

Right Scalene

c)

Obtuse Isosceles

d)

Obtuse Scalene

23.

Identify the triangle by its sides and angles

a)

Obtuse Isosceles

b)

Obtuse Equilateral

c)

Obtuse Scalene

24.

Identify the triangle by its sides and angles

a)

Acute Equilateral

b)

Right Equilateral

c)

Acute Isosceles

d)

Obtuse Isosceles

25.

Identify the triangle by its sides and angles

a)

Obtuse

b)

Acute Isosceles

c)

Obtuse Scalene

d)

Obtuse Isosceles

26.

All acute triangle are Equilateral

a)

True

b)

False

27.

A right triangle can not be equilateral

a)

True

b)

False

28.
What do the angles in an equilateral triangle measure?
a)
30, 60, 90
b)
45, 45, 90
c)
60, 60, 60
d)
35, 55, 90
29.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 
a)
45°
b)
90°
c)
180°
d)
360°
30.
The Triangle Sum Theorem deals with _______ of a triangle
a)
angles
b)
sides
31.
Find the measure of each angle indicated. 
a)
33°
b)
136°
c)
36°
d)
31°
32.
Find the measure of each angle indicated. 
a)
140°
b)
21°
c)
105°
d)
25°
33.
Find the measure of each angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
34.
Find the measure of each angle indicated. 
a)
50°
b)
35°
c)
100°
d)
55°
35.
Find the measure of each angle indicated. 
a)
40°
b)
33°
c)
30°
d)
29°
36.
What is the measure of angle BAC?
a)
40
b)
30
c)
35
d)
45
37.
Find the measure of each angle indicated. 
a)
139°
b)
66°
c)
138°
d)
116°
38.
What is the third angle of a triangle whose 1st angle is 79 and the 2nd angle is 43?
a)
43
b)
58
c)
72
d)
101
39.
What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101?
a)
32
b)
39
c)
45
d)
54
40.
Find the measure of the indicated angle. 
a)
26
b)
36
c)
85
d)
144
41.
a)
146
b)
34
c)
36
d)
136
42.
Solve for x.
a)
-12
b)
-8
c)
-10
d)
-5
43.
Solve for x.
a)
16
b)
11
c)
50
d)
6
44.
What is the value of x?
a)
15
b)
9
c)
12
d)
11
45.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
46.
Solve for x.
a)
7
b)
9
c)
-11
d)
-6
47.
a)
11
b)
30
c)
115
d)
120
48.
a)
11
b)
25
c)
35
d)
50
49.
a)
17
b)
25
c)
18
d)
26
50.
a)
19
b)
55
c)
18
d)
65
51.
a)
16
b)
55
c)
18
d)
65
52.

Find the measure of the angle indicated.

a)

87

b)

92

c)

105

d)

93

53.

Find the measure of the angle indicated.

a)

70

b)

50

c)

54

d)

49

54.

Find the measure of the angle indicated.

a)

30

b)

79

c)

99

d)

124

55.

Find the measure of the angle indicated.

a)

80

b)

69

c)

56

d)

64

56.

Find the measure of the angle indicated.

a)

26

b)

127

c)

135

d)

154

57.

Solve for x.

a)

1

b)

2

c)

7

d)

12

58.

Solve for x.

a)

5

b)

15

c)

8

d)

4

59.

Solve for x.

a)

12

b)

6

c)

10

d)

11

60.

Solve for x.

a)

7

b)

1

c)

4

d)

5

61.

Solve for x.

a)

2

b)

5

c)

10

d)

15

62.


Find m∠NSTFind\ m\angle NST  

a)

150

b)

116

c)

155

d)

70

63.

Find m∠DGFFind\ m\angle DGF  

a)

90

b)

82

c)

77

d)

56

64.

Find m∠EFind\ m\angle E  

a)

35

b)

100

c)

31

d)

33

65.

Find m∠CFind\ m\angle C  

a)

78

b)

82

c)

69

d)

124

66.

Find m∠GQRFind\ m\angle GQR  

a)

19

b)

135

c)

142

d)

121

67.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
68.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
69.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
70.

Find angle a

a)

100

b)

80

c)

120

d)

60

71.

Find angle x

a)

100

b)

140

c)

120

d)

60

72.

c =

a)

100

b)

125

c)

80

d)

75

73.

d =

a)

155

b)

125

c)

100

d)

75

74.

e =

a)

b + 25

b)

180 + c

c)

d + 25

d)

100 - b

75.

Use the figure to determine which of the following angles has the greatest measure:  ∠ 4, ∠ 8, ∠9\angle\ 4,\ \angle\ 8,\ \angle9  

a)

∠4\angle4  

b)

∠8\angle8  

c)

∠9\angle9  

d)

Not enough information

76.

Use the figure to determine which of the following angles has the greatest measure:  ∠ 1, ∠ 3, ∠4\angle\ 1,\ \angle\ 3,\ \angle4  

a)

∠1\angle1  

b)

∠3\angle3  

c)

∠4\angle4  

d)

Not enough information

77.

Use the Exterior Angle Inequality Theorem to list all angles that satisfy the stated condition: measures are less than  ∠1\angle1  
​

a)

∠3, ∠4, ∠5, ∠7, ∠8\angle3,\ \angle4,\ \angle5,\ \angle7,\ \angle8  

b)

∠3, ∠4, ∠5, ∠6, ∠8\angle3,\ \angle4,\ \angle5,\ \angle6,\ \angle8  

c)

∠2, ∠6, ∠7, ∠8\angle2,\ \angle6,\ \angle7,\ \angle8  

d)

∠2, ∠6, ∠8, ∠9\angle2,\ \angle6,\ \angle8,\ \angle9  

78.

Use the Exterior Angle Inequality Theorem to list all angles that satisfy the stated condition: measures are less than  ∠3\angle3  
​

a)

∠2, ∠6, ∠8, ∠9\angle2,\ \angle6,\ \angle8,\ \angle9  

b)

∠1, ∠6, ∠8\angle1,\ \angle6,\ \angle8  

c)

∠5, ∠7, ∠8\angle5,\ \angle7,\ \angle8  

d)

∠2, ∠4, ∠7, ∠8\angle2,\ \angle4,\ \angle7,\ \angle8  

79.

Which two angles are the remote interior angles to Angle A?

a)

Angle C and Angle B

b)

Angle D and Angle B

c)

Angle C and Angle D

d)

Angle B and Angle A

80.

Which two angles are the remote interior angles to Angle W?

a)

Angle X and Angle Y

b)

Angle X and Angle Z

c)

Angle Y and Angle Z

d)

Angle Z and Angle W

81.

What angle has a measure less than  m∠4m\angle4 ? 

a)

m∠1m\angle1  

b)

m∠6m\angle6  

c)

m∠8m\angle8  

d)

m∠2m\angle2  

82.

What angle has a measure greater than m∠8m\angle8 ? 

a)

m∠5m\angle5  

b)

m∠6m\angle6  

c)

m∠3m\angle3  

d)

m∠7m\angle7  

83.
Less Than
a)
<
b)
>
c)
≤
d)
≥
84.
Greater than
a)
<
b)
>
c)
≤
d)
≥
85.
Which of the following terms best describes Angle d? (remember that it's outside)
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
86.
What is the SUM of the angle measures in a nonagon (9 sides)?
a)
1440°
b)
900°
c)
1080°
d)
1260°
87.
What is the SUM of the angle measures in a triangle (3 sides)?
a)
60°
b)
90°
c)
120°
d)
180°
88.
Find the value of X.
a)
100
b)
120
c)
125
d)
130
89.

Which formula represents how to find the interior angle sum of any polygon?

a)

(number of sides - 2) x 180

b)

(number of sides + 2) x 180

c)

number of sides x 180

d)

number of sides x 360

90.
The sum of the interior angles in a polygon is 3,240o.  How many sides are in the polygon?
a)
10
b)
582,840
c)
18
d)
20
91.
What is the sum of the interior angles of the hexagon shown?
a)
180° 
b)
540° 
c)
720° 
d)
1080° 
92.
What is the sum of interior angles for a pentagon?
a)
900
b)
540
c)
360
d)
108
93.

What is the sum of the interior angles for a 24-gon?

a)

3960

b)

360

c)

15

d)

4280

94.

Find the sum of the interior angles of a 29-gon.

a)

5220°5220\degree

b)

4860°4860\degree

c)

3600°3600\degree

d)

4140°4140\degree

95.

Which is the formula to find the sum of the interior angles of any polygon?

a)

int∠=Snint\angle=\frac{S}{n}

b)

S=(n−4)⋅180S=\left(n-4\right)\cdot180

c)

S=(n−2)⋅180S=\left(n-2\right)\cdot180

d)

S=n⋅180S=n\cdot180

96.

Which is the formula to find the measure of each interior angle of a regular polygon?

a)

int∠=Snint\angle=\frac{S}{n}

b)

int∠=nSint\angle=\frac{n}{S}

c)

S=(n−2)⋅180S=\left(n-2\right)\cdot180

d)

S=n⋅180S=n\cdot180

97.

A _________ polygon is one in which all angles are equal and all sides are equal.

a)

irregular

b)

vertex

c)

similar

d)

regular

98.

Find the measure of each interior angle of a regular octagon.

a)

90°90\degree

b)

140°140\degree

c)

135°135\degree

d)

75°75\degree

99.

Six angles of a heptagon measure  107°, 139°, 131°, 110°, 145°,107\degree,\ 139\degree,\ 131\degree,\ 110\degree,\ 145\degree, and  128°.128\degree.  What is the measure of the seventh angle?

a)

160°160\degree  

b)

140°140\degree  

c)

110°110\degree  

d)

210°210\degree  

100.

If the sum of the interior angles of a polygon is 3780°,3780\degree,  how many sides does it have? 

a)

26 sides

b)

19 sides

c)

23 sides

d)

31 sides

101.

What is the measure of each interior angle of a regular 22-gon.

a)

163.6°163.6\degree

b)

113.8°113.8\degree

c)

135°135\degree

d)

120°120\degree

102.

Find the value of x.x.  

a)

x=10x=10  

b)

x=23x=23  

c)

x=16x=16  

d)

x=8x=8  

103.

Find the sum of the interior angles of a 14-gon.

a)

5220°5220\degree

b)

1440°1440\degree

c)

3600°3600\degree

d)

2160°2160\degree

104.

Three angles of a quadrilateral measure 42°, 126°,42\degree,\ 126\degree, and  81°.81\degree.  What is the measure of the fourth angle? 

a)

111°111\degree  

b)

93°93\degree  

c)

84°84\degree  

d)

127°127\degree  

105.

If the sum of the interior angles of a polygon is 2340°,2340\degree, how many sides does the polygon have? 

a)

11 sides

b)

13 sides

c)

15 sides

d)

16 sides

106.

Find the value of x.x.

a)

x=12x=12

b)

x=23x=23

c)

x=16x=16

d)

x=19x=19

107.

Find the value of x.x.

a)

127

b)

118

c)

139

d)

99

108.

Find m∠V.m\angle V.

a)

19°19\degree

b)

103°103\degree

c)

87°87\degree

d)

74°74\degree

109.

Find the value of x.x.

a)


121°121\degree

b)

301°301\degree

c)

88°88\degree

d)

97°97\degree

110.

What is the sum of the exterior angles of any quadrilateral?

a)

270

b)

360

c)

90

d)

180

111.

If one of the exterior angles of a quadrilateral is 110 degrees, what is the sum of the other three exterior angles?

a)

360

b)

180

c)

90

d)

250

112.

In a quadrilateral, if one of the exterior angles is 60 degrees, what is the sum of the other three exterior angles?

a)

300 degrees

b)

90 degrees

c)

360 degrees

d)

180 degrees

113.

What is the formula to find the sum of the exterior angles of a quadrilateral?

a)

180 degrees

b)

360 degrees

c)

270 degrees

d)

90 degrees

114.

Find the value of x.

*sum of exterior angles = 360

(a)  

115.

What is the sum of the exterior angles in a hexagon?

a)

360

b)

180

c)

60

d)

120