Traingle ABC is transformed with the center of dilation at the origin.

Question

0

1342

1

+912

Traingle ABC is transformed with the center of dilation at the origin.

Pre-image: △ABC with vertices A(−3, 4), B(−1, 12), C(4, −2)

Image: △A′B′C′ with vertices A′(−0.6, 0.8), B′(−0.2, 2.4), C′(0.8, −0.4)

What is the scale factor of the dilation that maps the pre-image to the image?

AngelRay Nov 17, 2017

CPhill · Answer 1 · 2017-11-17T04:20:40

All we need to do to find the scale factor is to take the ratio of the x coordinate of A' to he x coordinate of A

So we have

-0.6 / - 3 = .6 / 3 = (6 /10) / (3 /1) = (6 / 10) * (1/3) = 6 / 30 = 1/5