Question

Let G be the center of triangle XYZ. A dilation centered at G with a scale factor of -2/3 is applied to triangle XYZ to form triangle X'Y'Z'. Let A be the region of the area that is covered by both XYZ and X'Y'Z'. Find A/[XYZ] where [XYZ] is the area of triangle XYZ.

Answer 1

By dilation, A/[XYZ] = 14/27.