Transformers

Take any quadrilateral and make it into a triangle without changing the area.
HINT: Parallel lines may be useful.

Look at the image on the right below for an illustration.
How many distinct solutions can you find? How many “transformations” were necessary in order to change your quadrilateral into a triangle? Will this always be the case?

Extension
Start with any pentagon. Can you convert it into a triangle with equal area?
How many distinct solutions can you find? How many “transformations” were necessary to change your pentagon into a triangle? Will this always be the case?
Try the problem again, but this time with any hexagon.