Question

What additional information is required to know that the triangles are congruent by ASA?


A) ∠F ≅ ∠Y

B) ∠FDE ≅ ∠YDE

C) EF ≅EY

D) EF ≅EY or FD ≅YD

Answer 1

Answer:

The additional information require to know that the triangles are congruent by ASA is the option B)

B) ∠FDE ≅ ∠YDE

Step-by-step explanation:

Given:

∠ DEY ≅ ∠FED

To Prove:

Δ DEY ≅ Δ DEF

Proof:

In  Δ DEF and Δ DEY  

∠ FED ≅ ∠DEY       ……….{Given}  

      DE ≅  DE           ……….{Reflexive Property}

∠ FDE ≅ ∠ YDE      ...……..{Additional Information}

Δ DEF ≅ Δ DEY ….{ By Angle-Side-Angle test}

The additional information require to know that the triangles are congruent by ASA is the option B)

B) ∠FDE ≅ ∠YDE