Question

Which postulate or theorem proves that these two triangles arecongruent?AAS Congruence TheoremHL Congruence TheoremSAS Conguience PostulateASA Conquence Postulate

Answer 1

AAS Congruence Theorem

Step-by-step explanation:

Taking into account the figure, we get:

∠X is congruent to ∠Y

∠YWZ is congruent to ∠XWZ

WZ is congruent with itself

So, we have 2 congruent angles and one equal side.

Therefore, the theorem that can prove that these triangles are congruent is AAS (Angle - Angle - Side) congruence theorem because we have 2 congruent angles (∠X = ∠Y, ∠YWZ = ∠XWZ) and one congruent side (WZ = WZ).