Final answer:
To determine if triangles can be proved congruent, compare their corresponding sides and angles. Use congruence theorems like SSS, SAS, ASA, or AAS. If none apply, it's not possible to prove congruence.
Step-by-step explanation:
To determine if the triangles can be proved congruent, we need to compare their corresponding sides and angles. If the lengths of the corresponding sides and the measures of the corresponding angles in the triangles are equal, then the triangles can be proved congruent. There are several congruence theorems that can be used to prove congruence, such as the Side-Side-Side (SSS) theorem, Side-Angle-Side (SAS) theorem, Angle-Side-Angle (ASA) theorem, and Angle-Angle-Side (AAS) theorem. If none of these theorems can be applied, then it is not possible to prove the triangles congruent.