Question

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

Answer 1

Explanation:

3) Congruent segments added to congruent segments form congruent segments

4)
`\overline{AD} \parallel \overline{BC}` (opposite sides of a parallelogram are parallel)

5)
`\angle FAH \cong \angle GCE` (if 2 parallel lines are cut by a transversal, the alternate interior angles are congruent)

6)
`\triangle GEC \cong \triangle HFA` (ASA)