Unit Test — Unit test Answers

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Cynthia is finding the measures of the labeled angles in this image. What is the least number of angle measures she needs to know to find the measures of all labeled angles in the image?

Question illustration
A
She only needs to know the measure of one angle, angle D.
B
She only needs to know the measure of one angle, angle A.
C
She only needs to know the measures of two angles, angles A and B.
D
She only needs to know the measures of two angles, but one of the angles must be one of the remote interior angles.
4

is parallel to in the map below.Which proportion solves for the distance between Y and Z?

Question illustration
A
StartFraction 3 Over 9 EndFraction = StartFraction 4 Over x EndFraction
Option A
B
Three-fourths = StartFraction x Over 9 EndFraction
Option B
C
Four-thirds = StartFraction 9 Over x EndFraction
Option C
D
StartFraction 3 Over x EndFraction = StartFraction 4 Over 9 EndFraction
Option D
5

Line v is parallel to line w. Which set of statements about the angles is true?

Question illustration
A
Angle 1 is congruent to angle 6, angle 2 is congruent to angle 4, angle 3 is congruent to angle 5
Option A
B
Angle 1 is congruent to angle 5, angle 2 is congruent to angle 4, angle 3 is congruent to angle 6
Option B
C
Angle 6 is congruent to angle 2, angle 5 is congruent to angle 4, angle 1 is congruent to angle 3
Option C
D
Angle 6 is congruent to angle 1, angle 3 is congruent to angle 2, angle 4 is congruent to angle 5
Option D
7

Which best explains the relationship between the two triangles below?

Question illustration
A
because , , and .
Option A
B
because , , and .
Option B
C
is not similar to because is not congruent to .
Option C
D
is not similar to because , , and .
Option D
8

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.
10

The graph shows a line and two similar triangles.Which expression finds the equation of the line?

Question illustration
A
StartFraction y Over x EndFraction = three-halves
Option A
B
StartFraction y Over x EndFraction = two-thirds
Option B
C
StartFraction y Over 2 EndFraction = StartFraction 3 Over x EndFraction
Option C
D
StartFraction y Over 3 EndFraction = StartFraction x Over 2 EndFraction
Option D
12

The measure of one angle of a triangle is 105°. What do you know about the measures of the other two angles? Check all that apply.

A
Both angles are acute.
B
The sum of the measures of the two angles is 75°.
C
The sum of the measures of the two angles is 155°.
D
One of the angles is a right angle.
E
The measure of neither angle is more than 75°.
F
The measures of the other angles must be 105° too.
G
The measure of one of the other angles equals 75°.
H
The measure of one of the other angles must be 45°.
14

If x = 10, which lines are parallel? Check all that apply.

Question illustration
A
b is parallel to c
Option A
B
b is parallel to d
Option B
C
b is parallel to e
Option C
D
c is parallel to d
Option D
E
c is parallel to e
Option E
F
d is parallel to e
Option F
18

The triangles below are similar.Which similarity statement expresses the relationship between the two triangles?

Question illustration
A
Triangle X Y Z is similar to Triangle Q R S
Option A
B
Triangle X Y Z is similar to Triangle R Q S
Option B
C
Triangle Z X Y is similar to triangle Q S R
Option C
D
Triangle Z X Y is similar to triangle Q R S
Option D
19

Triangle VXW is similar to triangle ZXY.Kara finds the value of x. Her work is shown below.Step 1 Step 2 Step 3 Step 4 What is Kara’s first error?

Question illustration
A
Kara should have written the proportion in step 1 as .
Option A
B
Kara should have written the cross-product in step 2 as .
Option B
C
Kara did not correctly divide 864 by 14 going from step 3 to step 4.
D
Kara did not find the correct product of 72 and 12 going from step 2 to step 3.

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