Question

Which method would you use to prove that the two triangles are congruent?

A) SSS
B) ASA
C) AAS
D) SAS

Answer 1

As you don't have three sides to compare but one, you cannot use SSS or SAS, eliminating A and D. As you have two angles separated by a side, this creates an ASA scenario, making your answer B.

Answer 2

The triangles are congurent by ASA congurence propperty .

Option (B) is correct.

Explanation:

As given the diagram

In Δ AEC and ΔBED

∠EAC = ∠EBD (Given in the diagram)

AE = BE (Common)

∠AEC = ∠BED (Vertically opposit angle)

Thus

Δ AEC ≅ Δ BED

Thus the triangles are congurent by ASA congurence propperty .

Option (B) is correct.