Answer:
The requires statement is second option
∠ CDG ≅ ∠ EFG
Explanation:
Given:
Kite DEFC
∠ CDE ≅ ∠ EFC
To Prove:
Δ EGF ~ Δ CGD
Proof:
In Δ CGD and Δ EGF
∠ CDG ≅ ∠ EFG .....................{Requirement}
∠ CGD ≅ ∠ EGF .....................{Vertically opposite angles are equal}
∴ Δ CGD ~ Δ EGF ..................{ by A-A similarity test}
i.e Δ EGF ~ Δ CGD .........Proved