Question

Which of the following statements is needed within this proof?

Given:kite DEFC;ZCDE = ZEFC
Prove: EGF - ACGD

Answer 1

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