AnswersSRC 2022 MJ Grade 8 Pre-Algebra Q1Dilations

Dilations Answers

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Which proportion could be used to determine if the figures represent a dilation?

Question illustration
A
Three-halves = StartFraction 6 Over 4 EndFraction
Option A
B
Three-halves = StartFraction 4 Over 6 EndFraction
Option B
C
Three-fourths = StartFraction 6 Over 2 EndFraction
Option C
D
Three-fourths = StartFraction 2 Over 6 EndFraction
Option D
2
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Which statement about the dilation of these triangles is true?

Question illustration
A
The scale factor is .
Option A
B
The scale factor is 2.
C
The scale factor is 3.
D
The scale factor is 4.
3

Issouf claims that the scale factor is . Which statement about his claim is correct?

Question illustration
A
He is correct because CB is 4 and C’B’ is 2. The scale factor is .
Option A
B
He is correct because he needs to subtract 2 from each side. A reduction has a scale factor that is a fraction, so it must be .
Option B
C
He is incorrect because it is 3. CB is actually 2 + 4 or 6. So one needs to multiply the pre-image length by 3 to get the image; 3 is the scale factor.
D
He is incorrect because the scale factor is . CB is actually 2 + 4 = 6. CB is the pre-image, so the scale factor is .
Option D
4

What is the scale factor of this dilation?

Question illustration
A
One-fifth
Option A
B
One-half
Option B
C
1
D
2
5

Which statement about these triangles is true?

Question illustration
A
The dilation is an enlargement.
B
The dilation is a reduction.
C
It is not a dilation.
D
There is not enough information.
6

A dilation produces a smaller figure. Which is a possible scale factor?

A
–2
B
One-third
Option B
C
1
D
4
7

Which statement about a dilation with a scale factor of 3 is true?

A
Three is added to each side in the pre-image to find the corresponding side length in the image.
B
Three is subtracted from each side in the pre-image to find the corresponding side length in the image.
C
Each side in the pre-image is multiplied by three to find the corresponding side length in the image.
D
Each side in the pre-image is divided by three to find the corresponding side length in the image.
8

Carly stated, “All pairs of rectangles are dilations.” Which pair of rectangles would prove that Carly’s statement is incorrect?

A
A rectangle with length 4 and width 2. A rectangle with length 8 and width 4.
Option A
B
A rectangle with length 4 and width 2. A rectangle with length 6 and width 3.
Option B
C
A rectangle with length 4 and width 3. A rectangle with length 3 and width 2.
Option C
D
A rectangle with length 4 and width 3. A rectangle with length 2 and width 1.5.
Option D
9

What is the scale factor of this dilation?

Question illustration
A
One-half
Option A
B
One-third
Option B
C
2
D
3
10

Elijah was trying to determine whether one triangle is a dilation of the other. Which statements about his solution are true? Check all that apply.Elijah’s work: 3 is not a factor of 5, so it must be a relationship with addition. Therefore, the triangles are not proportional and cannot form a dilation.

Question illustration
A
Elijah did not know that scale factors can be fractions or decimals greater than zero.
B
Elijah did not know that dilations are proportional and the relationships are multiplicative, not additive.
C
Elijah should have compared the ratios to determine if they are equivalent.
Option C
D
Elijah needs to know which triangle is the pre-image and which triangle is the image in order to determine if they are proportional.
E
Elijah needs labels on the points to determine which sides correspond when writing the ratios.

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Dilations Answers — SRC 2022 MJ Grade 8…