# Triangle Hexagon

- Author:
- Karen Campe

Triangle ABC is equilateral and segments DH, EG, and IF are each parallel to a side of the triangle.
Move points D, E, and F and observe.
What do you notice about polygon DGEIFH?
Is it always a hexagon?
--If not, when is it a hexagon?
--If not, what other shapes can be created?
Why are its angles the size(s) they are?
Thanks to Ed Southall @solvemymaths for inspiration.