AnswersCA-Math 8 BSimilar Triangles and Slope

Similar Triangles and Slope Answers

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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
2
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Triangle MNO is similar to triangle RPO.Valek finds the distance between P and R. His work is shown below.Step 1 Step 2 Step 3 Step 4 What is Valek’s first error?

Question illustration
A
Valek did not correctly divide 1,536 by 20 going from step 3 to step 4.
B
Valek did not find the correct product of 32 and 48 going from step 2 to step 3.
C
Valek should have written the proportion in step 1 as .
Option C
D
Valek should have written the cross-product in step 2 as .
Option D
3

In the figure below, triangle RPQ is similar to triangle RTS.What is the distance between P and Q?

Question illustration
A
24
B
42
C
50
D
54
4

In the map below, the path from the zebras to the monkeys is parallel to the path from the tigers to the elephants. What is the distance between the lions and the monkeys?

Question illustration
A
40 feet
B
88 feet
C
92 feet
D
198 feet
5

In the map below, is parallel to .What is the distance between S and T? If necessary, round to the nearest tenth.

Question illustration
A
21.3 km
B
60.8 km
C
108 km
D
117 km
6

The graph shows a line and two similar triangles.What is the equation of the line?

Question illustration
A
y = 3 x
Option A
B
y = one-third x
Option B
C
y = one-third x + 2
Option C
D
y = 3 x + 2
Option D
7

Line r is parallel to line c. Which angle is congruent to ?

Question illustration
A
Angle 2
Option A
B
Angle 4
Option B
C
Angle 5
Option C
D
Angle 6
Option D
8

In the drawing below, is parallel to . Triangle ABC is similar to triangle DEC.Which statement about the sides is true?

Question illustration
A
corresponds to .
Option A
B
corresponds to .
Option B
C
corresponds to .
Option C
D
corresponds to .
Option D
9

Line d is parallel to line c in the figure below.Which statements about the figure are true? Select three options.

Question illustration
A
Vertical angles prove that .
Option A
B
In the two similar triangles, and are alternate interior angles.
Option B
C
Vertical angles prove that .
Option C
D
The triangles are similar because alternate interior angles are congruent.
E
In the two similar triangles, and are corresponding angles.
Option E
F
The triangles are similar because corresponding sides are congruent.
10

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

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