Question

triangles abc and def have two congruent, corresponding angles. can it be concluded that triangle abc is congruent to triangle def? no, it is necessary to know that all corresponding angles are congruent. no, it is not possible for the triangles to be congruent. yes, since there are two congruent, corresponding angles. no, it is necessary to know that a set of corresponding sides is congruent.

Explanation:

To determine triangle congruence, we need more than just two congruent angles. The Angle - Angle (AA) similarity criterion only guarantees similarity, not congruence. For congruence, we need at least one pair of corresponding sides to be congruent (e.g., ASA, AAS, SAS, SSS congruence criteria).

Answer:

No, it is necessary to know that a set of corresponding sides is congruent.