Question

Two angles and a non included side of one triangle must be congruent to two angles and the corresponding non included side of the other triangle. Which method of congruence is this?

Answer 1

See below.

Explanation:

In the UK is called Congruence by 2 angles and a corresponding side. In the USA it goes by the acronym AAS.

Answer 2

Answer: AAS theorem

Explanation:

We know that the AAS (angle-angle-side) theorem says that when two angles and any side of a triangle are congruent to two angles and any side of other triangle, then the triangles are said to be congruent.

Since the theorem is applicable for any pair of congruent angles either included or non - included.

Therefore, the given statement "Two angles and a non included side of one triangle must be congruent to two angles and the corresponding non included side of the other triangle. " represents AAS theorem of congruence.