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

Let s be the scale factor then:

4s=10 and 6s=15

s=10/4 and s=15/6

s=5/2 and s=5/2

s=2.5

The scale factor is 2.5.