The AS (Angle-Side) congruence theorem, also known as the AAS (Angle-Angle-Side) theorem, states that if two angles and the side opposite one of those angles in one triangle are congruent to the corresponding parts of another triangle, then the two triangles are congruent.
To determine whether specific pairs of triangles could be proven congruent using the AS theorem, we would generally look for the following:
- Two angles in one triangle are congruent to two angles in the other triangle.
- The length of the side that is opposite one of these angles in both triangles is congruent.
If you provide specific pairs of triangles, I can then help analyze whether they can be proven congruent using the AS theorem.