Question

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

Answer 1

See the proof in the image

Answer 2

<G E C=<H F A

A s

• A E=F C
• A F=E C

A lso

• <CAH=<GCE

Hence

• △GEC ≅ △HFA(ASA)