To determine which pairs of triangles could be proven congruent by the Angle-Side-Angle (ASA) congruence theorem, we need to remember that the ASA theorem states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.
Here’s what you would look for:
- Two angles of one triangle are equal to two angles of another triangle.
- The side between those two angles must also be equal in both triangles.
If you provide specific pairs of triangles, I can help you determine if they can be proven congruent by ASA. However, without specific triangles, I can't identify examples or non-examples for you.
Please provide the pairs of triangles you'd like me to analyze!