Question

Can you use the ASA postulate or the AAS theorem to prove the triangles congruent

Answer 1

I believe that the answer is AAS, since the side is not included between the two angles. 

Answer 2

Answer: AAS theorem

Explanation:

In the given figure , we have two triangles having one vertex common .

Since the vertical angles are always congruent.

i.e. ∠3≅∠4

So we have , two pairs of congruent angles .

∠1≅∠2 {given}

∠3≅∠4 [Vertical angles are congruent]

Also, one pair of non-included sides are given to be congruent.

By AAS theorem , we have both the triangles congruent.

• AAS theorem says that if two angles and any side of a triangle are congruent to two corresponding angles and any side of other triangle then we say the triangles are congruent.

We cannot apply ASA postulate because it is for two angles and one included side.