Question

Triangle ABC is dilated with a scale factor of k and a center of dilation at the origin to obtain triangle A'B'C'. What is the scale factor?

a) k
b) k^2
c) 1/k
d) 1/k^2

Answer 1

The scale factor in a dilation is the ratio of the corresponding lengths of the sides of the dilated triangle to the original triangle. In this case, the scale factor is k (option a).

Step-by-step explanation:

The scale factor in a dilation is the ratio of the corresponding lengths of the sides of the dilated triangle to the original triangle.

In this case, the triangle is dilated with a scale factor of k, so the corresponding side lengths of the dilated triangle would be k times the lengths of the original triangle.

Therefore, the scale factor is k (option a).