Question

A triangle with vertices at A(20.-30), B(10, -15), and C(5,-20) has been dilated with a center of dilation at the origin. The image of

B, point B', has the coordinates (2, -3). What is the scale factor of the dilation?
10
5
10​

Answer 1

1/5

Explanation:

The scale factor is the ratio of corresponding coordinates (when dilation is about the origin).

Bx'/Bx = 2/10 = 1/5

By'/By = -3/-15 = 1/5

The scale factor of the dilation is 1/5.