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WorksheetsAngles and Similarity Test Review
Total questions: 89
Worksheet time: 1hrs 14mins
Name
Class
Date
1.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
2.
What are vertical angles?
a)
Angles that are adjacent to each other
b)
Angles that add up to 180°
c)
Angles that are opposite of each other when lines intersect
d)
Angles that add up to 90°
3.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
4.
Which phrase is incorrect?
a)
Complementary angles have to be adjacent.
b)
Supplementary angles equal 180°.
c)
Complementary angles can make a right triangle.
d)
Complementary angles add up to be half of 180°.
5.
What is the supplement angle to 45°?
*REMEMBER WHAT SUPPLEMENTARY ANGLES ADD TO!
*REMEMBER WHAT SUPPLEMENTARY ANGLES ADD TO!
a)
45°
b)
180°
c)
135°
d)
100°
6.
What is the supplement angle to 45°?
*REMEMBER WHAT SUPPLEMENTARY ANGLES ADD TO!
*REMEMBER WHAT SUPPLEMENTARY ANGLES ADD TO!
a)
45°
b)
180°
c)
135°
d)
100°
7.
What is the complement angle to 30°?
a)
60°
b)
30°
c)
150°
d)
230˚
8.
The supplement of an angle is 65 °. What is the measure of the angle?
a)
25°
b)
15°
c)
115°
d)
35°
9.
Use the image to answer the question.
a)
Definition of complementary angles
b)
Definition of vertical angles
c)
Definition of supplementary angles
d)
Definition of right angle
10.
What is a straight angle?
a)
An angle that measures more than 90 degrees.
b)
An angle that measures less than 90 degrees.
c)
An angle that measures exactly 90 degrees.
d)
An angle that measures exactly 180 degrees.
11.
If angle ∠ABD is 67°. What is ∠DBC?
a)
180°
b)
90°
c)
67°
d)
23°
12.
If ∠BPD and ∠DPC have a sum of 72°. What is ∠APC?
a)
18°
b)
90°
c)
108°
d)
180°
13.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
14.
If ∠COB is 124°, then what is ∠BOD? How are they related?
a)
56°, they are supplementary
b)
90°, they are complementary
c)
124°, they are vertical
15.
These are Complementary angles. Find x.
a)
15
b)
25
c)
75
d)
90
16.
If angle ∠ABD is 67°. What is ∠DBC?
a)
180°
b)
90°
c)
67°
d)
23°
17.
How are these angles related?
a)
Vertrical
b)
Complementary
c)
Adjacent
d)
Supplementary
18.
Find the missing angle.
a)
47
b)
37
c)
57
d)
137
19.
What is the measure of ∠2?
a)
38
b)
58
c)
71
d)
142
20.
Find the missing angle.
a)
43
b)
47
c)
57
d)
67
21.
Find what the value of x.
a)
118
b)
108
c)
28
d)
58
22.
Find the value of x.
a)
-5
b)
28
c)
19
d)
-3
23.
In the figure which angle is complementary to angle 1?
a)
Angle 2
b)
Angle 3
c)
Angle 4
d)
Angle 6
24.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=25
b)
Complementary; x=5
c)
Supplementary; x=25
d)
Supplementary; x=5
25.
Tell whether the angles are complementary or supplementary. Then find the value of x.
a)
Complementary; x=3.4
b)
Complementary; x=45
c)
Supplementary; x=20
d)
Supplementary; x=175
26.
How many degrees is a right angle.
a)
90
b)
21
c)
180
d)
101
27.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
28.
Complementary angles total 90⁰
a)
True
b)
False
29.
a)
100°
b)
80°
c)
90°
d)
180°
30.
a)
100°
b)
80°
c)
90°
d)
180°
31.
a)
100°
b)
80°
c)
90°
d)
180°
32.
Find the value of x.
a)
14
b)
60
c)
35
d)
180
33.
What is the value of x?
a)
90
b)
45
c)
180
d)
51
34.
CHALLENGE: Find the values of x and y.
a)
x=7 ; y=25
b)
x=5 ; y=25
c)
x=7 ; y=5
d)
x=5; y=5
35.
What is the sum of the interior angles for a 24-gon?
a)
3960
b)
360
c)
15
d)
4280
36.
What is the formula for the sum of the interior angles?
a)
S =360
b)
S =180(n-2)
c)
S =360/n
d)
R = ((n-2)180)/n
37.
a)
35
b)
40
c)
45
d)
50
38.
Find the value of X.
a)
100°
b)
110°
c)
150°
d)
168°
39.
Find the value of X.
a)
90°
b)
98°
c)
100°
d)
115°
40.
Find the angle sum of the interior angles of the polygon.
a)
720°
b)
900°
c)
1080°
d)
1260°
41.
Find the angle sum of the interior angles of the polygon.
a)
180°
b)
540°
c)
720°
d)
1080°
42.
Find the value of X.
a)
60
b)
120
c)
85
d)
55
43.
Find the value of X.
a)
100
b)
120
c)
125
d)
130
44.
What does this image show?
a)
intersecting lines
b)
perpendicular lines
c)
right angle
d)
parallel lines
45.
What is a polygon?
a)
A closed plane figure made up of line segments
b)
An open plane figure made up of line segments
c)
A closed plane figure made up of rays
d)
An open plane figure made up of rays
46.
Why are these Triangles called Right Triangles?
a)
They have 3 right angles
b)
They have 2 right angles
c)
They have 1 right angle
d)
They have 0 right angles
47.
A straight angle is:
a)
90°
b)
50°
c)
1800°
d)
180°
48.
An obtuse angle is:
a)
a line of indefinite length extending from an end point in one direction
b)
any angle between 90 and 180 degrees
c)
a tool used to measure angles
d)
lines at an angle
49.
An acute angle is:
a)
two angles that have the same angle measure
b)
an angle measuring between 90° and 0°
c)
an angle that measures 90°
d)
formed by two intersecting lines and are opposite of each other
50.
Perpendicular lines:
a)
will never intersect
b)
intersect to form right angles
c)
are curved lines
d)
intersect to form acute angles
51.
Which pair of angles are vertical angles?
a)
∠1 & ∠2
b)
∠2 & ∠4
c)
∠5 & ∠8
d)
∠1 & ∠5
52.
Which pair of angles are corresponding angles?
a)
∠1 & ∠2
b)
∠2 & ∠4
c)
∠5 & ∠8
d)
∠1 & ∠5
53.
Which pair of angles are alternate interior angles?
a)
∠1 & ∠8
b)
∠2 & ∠3
c)
∠4 & ∠5
d)
∠7 & ∠4
54.
Which pair of angles are supplementary angles?
a)
∠1 & ∠8
b)
∠2 & ∠3
c)
∠4 & ∠5
d)
∠7 & ∠8
55.
Angles on opposite sides of a vertex and are congruent are called _____.
a)
Vertical angles
b)
Corresponding Angles
c)
Supplementary Angles
d)
Alternate Interior Angles
56.
Angles on the same side of a transversal, in corresponding positions, and are congruent are called _____.
a)
Vertical angles
b)
Corresponding Angles
c)
Supplementary Angles
d)
Alternate Interior Angles
57.
Angles inside a pair of lines on the opposite sides of a transversal and are congruent are called _____.
a)
Vertical angles
b)
Corresponding Angles
c)
Supplementary Angles
d)
Alternate Interior Angles
58.
Angles which add up to 180° are called _____.
a)
Vertical angles
b)
Corresponding Angles
c)
Supplementary Angles
d)
Alternate Interior Angles
59.
∠2 & ∠4 are:
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
60.
∠6 & ∠7 are:
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
61.
∠2 & ∠6 are:
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
62.
∠3 & ∠6 are:
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
63.
Find the measure of angle A.
a)
∠A=82°
b)
∠A=98°
c)
∠A=180°
d)
∠A=8°
64.
Find the measure of angle B.
a)
∠B=82°
b)
∠B=98°
c)
∠B=180°
d)
∠B=8°
65.
Find the measure of angle C.
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
66.
Find the measure of angle D.
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
67.
Find the measure of angle E.
a)
∠E=140°
b)
∠E=40°
c)
∠E=180°
d)
∠E=50°
68.
Find the measure of angle F.
a)
∠F=140°
b)
∠F=40°
c)
∠F=180°
d)
∠F=50°
69.
Find the measure of angle J.
a)
∠J=105°
b)
∠J=75°
c)
∠J=15°
d)
∠J=90°
70.
Find the value of x.
a)
x=105°
b)
x=75°
c)
x=21°
d)
x=5x°
71.
Find the measure of angle L.
a)
∠L=51°
b)
∠L=129°
c)
∠L=180°
d)
∠L=39°
72.
Find the measure of angle M.
a)
∠M=47°
b)
∠M=133°
c)
∠M=180°
d)
∠M=33°
73.
True or False. Given two parallel lines cut by a transversal, their corresponding angles are supplementary.
a)
True
b)
False
74.
True or False. Given two parallel lines are cut by a transversal, their same side exterior angles are congruent.
a)
True
b)
False
75.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
76.
CHALLENGE:
Angle 1 = 3x-4
Angle 3 = 5x - 38
Find the measure of Angle 4.
Angle 1 = 3x-4
Angle 3 = 5x - 38
Find the measure of Angle 4.
a)
17o
b)
47o
c)
133o
d)
55o
77.
Angle 1 = 27o
Find the measure of angle 4.
Find the measure of angle 4.
a)
27o
b)
153o
c)
63o
d)
90o
78.
Lines r and s are cut by a transversal. What value of x proves r is parallel to s?
a)
43
b)
37
c)
143
d)
37
79.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
80.
Find x.
a)
130o
b)
50o
c)
90o
d)
65o
81.
Find y.
a)
130o
b)
50o
c)
90o
d)
65o
82.
Find x.
a)
80o
b)
100o
c)
90o
d)
110o
83.
Find y.
a)
80o
b)
100o
c)
90o
d)
110o
84.
Solve for y.
a)
y = 55o
b)
y = 35o
c)
y = 70o
d)
y = 70o
85.
Which pair of angles are alternate exterior angles?
a)
Angle 7 and Angle 4
b)
Angle 2 and Angle 6
c)
Angle 8 and Angle 1
d)
Angle 2 and Angle 8
86.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
87.
Which of the following terms best describes the relationship between Angle w and Angle x?
a)
Corresponding angles
b)
Same-side interior angles
c)
Alternate interior angles
d)
Vertical angles
88.
Which of the following pairs of angles are corresponding angles?
a)
Angle z and Angle x
b)
Angle w and Angle t
c)
Angle t and Angle x
d)
Angle w and Angle z
89.
Which of the following pairs of angles are congruent?
a)
Angle w and Angle y
b)
Angle y and Angle x
c)
Angle w and Angle z
d)
Angle t and Angle y
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