The prove, triangle GEF is congruent to triangle GHF. is achieved using SAS congruence theorem
How to complete the proof
The two column proof is written as follows
Statement Reason
EF ≅ HF given
DF ≅ GF given
∠ DFE ≅ ∠ DFH Vertical angle theorem
Δ DEF ≅ Δ GHF SAS congruence theorem