Taylanic402 Taylanic402
  • 20-12-2019
  • Mathematics
contestada

Which of the following statements is needed within this proof?
Given:kite DEFC;ZCDE = ZEFC
Prove: EGF - ACGD

Which of the following statements is needed within this proof Givenkite DEFCZCDE ZEFC Prove EGF ACGD class=

Respuesta :

inchu420 inchu420
  • 27-12-2019

Answer:

The requires statement is second option

∠ CDG ≅ ∠ EFG  

Step-by-step 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

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