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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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
3

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
4

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
5

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
6

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

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
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

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
10

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
11

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.
12

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
13

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
14

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

Answer not available
15

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
16

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

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