Question

angle-angle-side corresponding vs. non-corresponding sides (aas-c vs. aas-nc) given two angles and a non - included side in a triangle are congruent to two angles and a non - included side of another triangle. are the triangles necessarily congruent? explain.

Explanation:

The Angle - Angle - Side (AAS) congruence criterion states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the triangles are congruent. The key is that the sides must be corresponding. If the sides are non - corresponding, the triangles are not necessarily congruent.

Answer:

If the sides are corresponding, the triangles are congruent by the AAS congruence postulate. If the sides are non - corresponding, the triangles are not necessarily congruent.