Dilations Answers
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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.2
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What is the scale factor of this dilation?
A
One-fifth
B
One-half
C
1D
23
Which statement about the dilation of these triangles is true?
A
The scale factor is .
B
The scale factor is 2.C
The scale factor is 3.D
The scale factor is 4.4
What is the scale factor of this dilation?
A
One-half
B
One-third
C
2D
35
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.
B
A rectangle with length 4 and width 2. A rectangle with length 6 and width 3.
C
A rectangle with length 4 and width 3. A rectangle with length 3 and width 2.
D
A rectangle with length 4 and width 3. A rectangle with length 2 and width 1.5.
6
Segment is dilated using a scale factor of through P. Which segment shows the correct result of the dilation?
A
line aB
line bC
line cD
line d7
If this rectangle is dilated using a scale factor of through point B, what is the result?
A
Point B is the bottom left corner of rectangle X. Rectangle X prime is double the size of rectangle X.
B
Point B is the bottom left corner of rectangle X. Rectangle X prime is half the size of rectangle X and point B is at the bottom left corner.
C
Point B is the bottom left corner of rectangle X. Rectangle X prime is double the size of rectangle X and is outside of rectangle X.
D
Point B is the bottom left corner of rectangle X. Rectangle X prime is half the size of rectangle X and is outside of rectangle X.
8
Which proportion could be used to determine if the figures represent a dilation?
A
Two-thirds = StartFraction 5 Over 8 EndFraction
B
Two-thirds = StartFraction 8 Over 5 EndFraction
C
StartFraction 2 Over 8 EndFraction = Five-thirds
D
StartFraction 2 Over 8 EndFraction = three-fifths
10
Issouf claims that the scale factor is . Which statement about his claim is correct?
A
He is correct because CB is 4 and C’B’ is 2. The scale factor is .
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 .
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 .
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