## A quadrilateral with vertices at A(4, –4), B(4, –16), C(12, –16), and D(12, –4) has been dilated with a center at the origin. The image of D

Question

A quadrilateral with vertices at A(4, –4), B(4, –16), C(12, –16), and D(12, –4) has been dilated with a center at the origin. The image of D, point D prime, has coordinates (36, –12). What is the scale factor of the dilation?

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Math
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2021-09-12T16:02:38+00:00
2021-09-12T16:02:38+00:00 2 Answers
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## Answers ( )

Answer:The Answer would be 3

Step-by-step explanation:Answer:3

Step-by-step explanation:The scale factor multiplies each coordinate value. If the scale factor is k, then we have …

D’ = kD

(36, -12) = k(12, -4) = (12k, -4k)

k = 36/12 = -12/-4 = 3

The scale factor of the dilation is 3.