Question

What is the scale factor of this dilation?

Answer 1

Answer:  C) Three-fourths

I.e., the fraction 3/4

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Explanation:

Let's pick on the horizontal sides. Divide the image length Y'Z' = 9 over the corresponding preimage length YZ = 12 to get

(Y'Z')/(YZ) = 9/12 = 3/4 which is the scale factor

The scale factor is less than 1, meaning the image's lengths are shorter compared to the preimage's corresponding lengths.

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Alternative Paths:

You can pick any other pair of corresponding sides to get the same result:

• (X'Y')/(XY) = (7.5)/(10) = 75/100 = 3/4
• (Z'X')/(ZX) = 6/8 = 3/4

Answer 2

Answer:

$scale ~factor= Z'Y'/ZY$

$=9/12$

$=3/4=0.75$

$So ~your~ answer ~will~ be ,~C.) Three-fourths$

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