Question

Examine the graph

shown to the left.
Identify the scale
factor used to
dilate XYZ to
form XY'Z'.
2

Answer 1

The scale factor is 3

Explanation:

Dilations

A dilation is a transformation that produces an image that has the same shape as the original but has a different size.

A dilation is described by the scale factor or constant of dilation and the center of the dilation.

We are given a triangle XYZ of coordinates given in the graph to the left:

X=(-1,1), Y=(-1,4), Z=(-2,1)

It was dilated to triangle X'Y'Z' with coordinates:

X'=(-3,3), Y=(-3,12), Z=(-6,3)

Note each coordinate of the dilated triangle is three times the coordinates of the original triangle, thus the scale factor is 3