Any help would be greatly appreicated!
1. Let A be the center of equilateral triangle DEF. A dilation, where the center is A, with scale factor -1/3, is applied to obtain triangle D'E'F'. Let P be the area of the region that is contained in both triangles DEF and D'E'F. Find P/[DEF].
2. Just like before, we have DEF and A as the center. However, this time the dilation (still centered at A) has a scale factor of -4/3. H is the region in both DEF and D'E'F'. Find H/[DEF].
I tried to solve this using information found in other questions similar to these, but I just don't get how to get the hexagons P and H. Thank you very much!