AnswersCA-Math 8 BSimilar Triangles and Slope

Similar Triangles and Slope Answers

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1
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The graph shows a line and two similar triangles.What is the equation of the line?

Question illustration
A
y = 5 x
Option A
B
y = 3 x
Option B
C
y = three-fifths x
Option C
D
y = five-thirds x
Option D
2
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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.
3

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
4

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
5

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
6

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

Question illustration
A
StartFraction 9 Over 6 EndFraction = StartFraction x Over 15 EndFraction
Option A
B
StartFraction 6 Over x EndFraction = StartFraction 15 Over 9 EndFraction
Option B
C
StartFraction 9 Over 6 EndFraction = StartFraction 15 Over x EndFraction
Option C
D
StartFraction 6 Over 15 EndFraction = StartFraction 9 Over x EndFraction
Option D
7

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
8

Line k is parallel to line l. Which angle is congruent to ?

Question illustration
A
Angle 1
Option A
B
Angle 2
Option B
C
Angle 5
Option C
D
Angle 6
Option D
9

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
10

In the figure below, triangle GHI is similar to triangle MHL.What is the distance between M and H?

Question illustration
A
12
B
16
C
24
D
27
11

Right triangle ABC is shown below.A similar right triangle would be created by a run of 4 and a rise of

Question illustration
Answer not available
12

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

Question illustration
A
y = 5 x
Option A
B
y = 3 x
Option B
C
y = three-fifths x
Option C
D
y = five-thirds x
Option D
13

Line p is parallel to line q. Which set of statements about the angles is true?

Question illustration
A
Angle 1 is congruent to angle 6, angle 5 is congruent to angle 4, angle 3 is congruent to angle 2
Option A
B
Angle 2 is congruent to angle 4, angle 3 is congruent to angle 6, angle 1 is congruent to angle 5
Option B
C
Angle 3 is congruent to angle 6, angle 1 is congruent to angle 2, angle 5 is congruent to angle 4
Option C
D
Angle 6 is congruent to angle 1, angle 5 is congruent to angle 3, angle 4 is congruent to angle 2
Option D
14

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
15

In the figure below, triangle GHI is similar to triangle MHL.What is the distance between M and H?

Question illustration
A
12
B
16
C
24
D
27
16

Line l is parallel to line e in the figure below.Which statements about the figure are true? Check all that apply.

Question illustration
A
Vertical angles prove that .
Option A
B
Vertical angles prove that .
Option B
C
The triangles are similar because corresponding sides are congruent.
D
The triangles are similar because alternate interior angles are congruent.
E
In the similar triangles, and are alternate interior angles.
Option E
F
In the similar triangles, and are corresponding angles.
Option F
17

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
18

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.
19

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

Question illustration
A
y = three-halves x
Option A
B
y = two-thirds x
Option B
C
y = 3 x
Option C
D
y = 2 x
Option D
20

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

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