Given: ABCDis a parallelogram ∠GEC ≅ ∠HFA and AE ≅FC.
Prove △GEC ≅ △HFA.

[tex]\\ \rm\hookrightarrow AE\cong FC[/tex]
So parallelogram BGAE and HDFC are equal.
And
As BG=HD
Hence
[tex]\\ \rm\hookrightarrow \triangle GEC\cong \triangle HFA(SSA)[/tex]