Find the mistake made in the following proof. Explain why you think your colleague made this mistake.

Question

Given: AB∣∣ED and AB≅ED
Prove: ΔABF≅ΔDEF

Proof:

It is given that AB∣∣ED so angle ∠DEB is congruent to angle ∠ABE, because parallel lines form congruent alternate interior angles with a transversal. It is also given that AB is congruent to ED and angle ∠AFB is congruent to angle ∠DFE because they are vertical angles and vertical angles are congruent. So, ΔABF is congruent to ΔDEF by ASA.

Answer 1

Gotta tell me where F is. You do know that ABDE is a rectangle.

Answer 2

F is the center point.

I have the same question and I'm really confused.