Question

Suppose AB ≅ AE. Can you use the SSS Postulate or the SAS Postulate to prove ABC ≅ AED?

Answer 1

1. Angle BAC = angle EAD( given)

2. line BC = line DE ( given)

3. line AC = line AD( given)

4. Triangle ABC is congruent to AED by SAS or SSS postulate of congruency.

The Side-Angle-Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

1. Angle BAC = angle EAD( given)

2. line BC = line DE ( given)

3. line AC = line AD( given)

4. Triangle ABC is congruent to AED by SAS or SSS postulate of congruency.

Answer 2

Answer with explanation:

In Δ ABC and ΔA DE

AC=AD----------[Given]

BC=DE----------[Given]

∠BAC=∠DAE-------[Given]

Any of the two criteria which are →[SAS,SSS] can't be used to prove ⇒ΔABC≅ ΔA ED

Because, neither two sides and Included angle of two triangles ,nor three corresponding sides of two triangles, are congruent to each other.

Option A : Neither Apply