AnswersKY-Math 8 BUnit Test

Unit Test — Unit test Answers

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What is the name of an angle that is formed by one side of a triangle and the extension of an adjacent side?

A
exterior angle
B
adjacent interior angle
C
remote interior angle
D
alternate interior angle
2
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Parallel lines s and t are cut by a transversal, r. If the measure of angle 1 is 68°, what is the measure of angle 5?

Question illustration
A
22°
B
68°
C
112°
D
158°
3

Which pair of angles are complementary but not adjacent?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
4

Which angle is an exterior angle of the triangle?

Question illustration
A
1
B
2
C
3
D
4
5

best

Question illustration
A
Accurate. Each pair of sides corresponds with a common ratio of 2.
A
Accurate. The description of each triangle begins at the same vertex.
I
Inaccurate. In the order listed, the ratio between each pair of sides is different.
I
Inaccurate. The description of the triangles in the similarity statement moves clockwise in one triangle and counterclockwise in the other triangle.
6

In , what is the measure of ?

Question illustration
A
42 degrees
Option A
B
43 degrees
Option B
C
68 degrees
Option C
D
69 degrees
Option D
7

The triangles below are similar. Which similarity statements describe the relationship between the two triangles? Check all that apply.

Question illustration
A
Triangle P R S is similar to triangle X Y Z
Option A
B
Triangle R S P is similar to triangle Z X Y
Option B
C
Triangle S R P is similar to triangle X Z Y
Option C
D
Triangle P S R is similar to Triangle Z Y X
Option D
E
Triangle R P S is similar to triangle Z Y X
Option E
F
Triangle S P R is similar to triangle X Z Y
Option F
8

In the diagram, the measure of angle 3 is 105°. Which angle must also measure 105°?

Question illustration
A
1
Option A
B
4
Option B
C
6
Option C
D
8
Option D
9

If the measure of angle 1 is and the measure of angle 3 is , what is the value of x?

Question illustration
A
50
B
55
C
60
D
100
10

Parallel lines s and t are cut by a transversal r. Which angles are alternate exterior angles?

Question illustration
A
2 and 8
Option A
B
4 and 6
Option B
C
1 and 5
Option C
D
1 and 8
Option D
11

Which has a measure that is equal to the sum of the measures of the interior angles of a triangle?

A
a straight line
B
a circle
C
a right angle
D
an obtuse angle
12

In the diagram, the measure of angle 1 is (3x)°, and the measure of angle 2 is (12x)°. What is the measure of angle 4?

Question illustration
A
36°
B
45°
C
135°
D
144°
13

Mikel is determining if the two triangles below could be similar based on their side lengths. Which statements accurately describe the triangles? Check all that apply.

Question illustration
A
The common ratio between the triangles is 3 because .
Option A
B
The common ratio between the triangles is 2.5 because .
Option B
C
The triangles could be similar.
D
The triangles could not be similar.
E
The ratios of the side lengths are not consistent.
F
The ratios of the side lengths are consistent.
14

Parallel lines r and s are cut by two transversals, parallel lines t and u. Which angles are alternate interior angles with angle 3?

Question illustration
A
5 and 13
Option A
B
7 and 15
Option B
C
6 and 16
Option C
D
8 and 14
Option D
15

The measure of angle W is 100°, and the measure of angle Z is 68°. What is the measure of angle Y?

Question illustration
A
12°
B
32°
C
80°
D
168°
16

Rushawn lined up the interior angles of the triangle along line p below. When the measure of angle C decreases, what happens to the measures of angles A and B on line p?

Question illustration
A
Both sections increase.
B
Both sections decrease.
C
One section increases, and the other section decreases.
D
What will happen to the individual sections cannot be determined, but the size of the two sections together increases.
17

Lines and are parallel. Which angles represent alternate interior angles?

Question illustration
A
angles A and C
B
angles B and D
C
angles C, D, and E
D
angles B and C
18

What is the value of x?

Question illustration
Answer not available
19

Enzo drew . In Enzo’s triangle, is represented as . The measure of is 5 times . The measure of is less than 8 times . Which statements must be true about the angle measures of Enzo’s triangle? Check all that apply.

Question illustration
A
Measure of angle K = x degrees
Option A
B
Measure of angle L = (5 x) degrees
Option B
C
Measure of angle N = (16 minus 8 x) degrees
Option C
D
Measure of angle K + measure of angle L = measure of angle N
Option D
E
Measure of angle K + measure of angle L + measure of angle N = 180 degrees
Option E
20

Which angles are remote interior angles?

Question illustration
A
1 and 2
B
2 and 3
C
3 and 4
D
1 and 4

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