Question

A point is dilated by a scale factor of 1/3 centered about the origin, resulting in the

new coordinates (-6,3). What are the coordinates of the point prior to the
dilation?

Answer 1

(-18, 9)

Explanation:

If a coordinate A(x,y) is dilated by a factor of k, the new coordinates will be expressed as;

A' = (kx, ky)

A' = A (kx, ky)

Given the following

k = 1/3

A' = (-6, 3)

Substitute

(-6, 3) = 1/3(x, y)

Cross multiply

3(-6, 3) = (x, y)

(x, y) = (3(-6), 3(3))

(x, y) = (-18, 9)

Hence the coordinate prior to dilation is (-18, 9)