The Triangle Angle Sum Theorem and AAS Congruence allow us to use which other triangle congruence theorem to prove the triangles are congruent?

Question

A. SAS
B. SSS
C. ASA
D. HL

Answer 1

The Triangle Angle Sum Theorem states that the sum of the angles in a triangle is always 180 degrees, and the AAS (Angle-Angle-Side) Congruence theorem states that if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then the triangles are congruent.

Given these two theorems, if you already have two angles and a side, you can also establish that the corresponding angles and the included side between the two angles are also equal. Thus, using AAS, you can also use the ASA (Angle-Side-Angle) congruence theorem to prove the triangles are congruent.

So the answer is C. ASA.