1. The problem asks if the two triangles can be proved congruent and which postulate can be used. 2. The common triangle congruence postulates are: - ASA (Angle-Side-Angle): Two angles and the included side are congruent. - SSS (Side-Side-Side): All three sides are congruent. - SAS (Side-Angle-Side): Two sides and the included angle are congruent. 3. According to the descriptions: - The first pair of triangles has two angles and one side marked congruent, so ASA applies. - The second pair has three pairs of sides marked congruent, so SSS applies. - The third pair has two sides and one angle marked congruent, so SAS applies. - The fourth pair has two sides marked congruent but no postulate applies, so no congruence. 4. Therefore, the answers given (yes, ASA; yes, SSS; yes, SAS; no) are correct. Final answer: Yes, the congruence postulates ASA, SSS, and SAS apply correctly to the first three cases, and the fourth case is not congruent.