quadrilateral proof

[hollabackgirl121]

Hello,
I am having difficulty with the following proof:

In quadrilateral AFBE, diagonals AB and EF intersect at M. CM is a median to AB. AE is perpendicular to CF and BF is perpendicular to CF.

Show that AEBF is a parallelogram.

Thank you!

 

[Aladdin]

To prove a quadrilateral is a parallelogram , it's sufficient to prove that on of the following properies is verified :
-)opposite sides are parralel
-)opposite sieds are equal
-)two opposite sides are equal and parallel
-)the diagonals bisect each others
-)the point of intersection of the diagonals is a center of symmetry.

So depending on the given you choose:

Please show us what you have done