I need help with this question. Can someone explain with a step by step visual?

Let G be the center of equilateral triangle XYZ. A dilation centered at G with scale factor -3/4 is applied to triangle XYZ, to obtain triangle X'Y'Z' Let A be the area of the region that is contained in both triangles XYZ and X'Y'Z' Find A/XYZ.

If someone could help me with this that would be great!

Guest May 1, 2022

#3**+1 **

A dilation with scale factor k applies a scale factor of k^2 on the area, so A/[XYZ] = (-3/4)^2 = 9/16.

MaxWong May 2, 2022