The prove of Δ ADE ≡ Δ CDF is done using AAS congruence theorem
How to complete the proof
The proof is complete using two column proof
Statement Reason
DE ≡ DE given
∠ A ≡ ∠ C given
∠ EDA ≡ ∠ CDF Vertical angle theorem
Δ ADE ≡ Δ CDF AAS congruence theorem