Dilations Answers
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1
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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
2
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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 .
3
Joseph is creating a dilation through point B with a scale factor of 2. Which statements about the dilation are correct? Check all that apply.
A
A’ will be located on ray .
B
B and B’ are the same point.C
will be as long as .
D
and will be part of the image’s sides.
E
The image will be inside the pre-image.4
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.
5
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.Did you find these answers helpful?
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