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?

Answer 1

The Answer would be 3

Explanation:

Answer 2

3

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.