GF~ Because ABCD is a parallelogram, AB=CD.

AD = BC

~ and because ~AE=CF, BG=DH

So AG=CH and parallel to each other.

ED=BF and parallel to each other!

Obviously, the triangle age is also equal to CHF~

Reorganization is equal to DEH.

So GF=EH

GE=FH

So the quadrangle GEHF is a parallelogram ~

So GE is parallel to FH