A GIFT from ME to YOU!

Can you prove the following?  It might come in handy sometime soon.

Setup Sketch:
Draw isosceles trapezoid ABCD starting with vertex A in the lower left and label B-C-D counter-clockwise.
Draw a line segment from vertext D that is congruent to seg-AD to a point E on seg-AB.

Proof:
Given: ABCD is an isosceles trapezoid and seg-AE cong seg-AD
Prove: EBCD is a parallelogram

You won't see this exact problem, but I predict it will be very close.