Question

A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(0, 10), and C′(15, 0). The origin is the center of dilation. What is the scale factor of the dilation?

Answer 1

9514 1404 393

Answer:

2.5

Explanation:

The scale factor will be the ratio of any two corresponding non-zero coordinates:

B'y/By = 10/4 = 2.5

C'x/Cx = 15/6 = 2.5

The scale factor is 2.5.