Answer
The proof is in the following form:
Column 1 of proof; Column 2 of proof.
Thus, we have:
1. AB is parallel to DF, and BD is parallel to FG; Given
2. A is congruent to GEF; When parallel lines are cut by a transversal, corresponding angles are congruent.
3. G is congruent to BCA; When parallel lines are cut by a transversal, corresponding angles are congruent.
4. Triangle ABC is congruent to triangle EFG; AA