explanation:AI-generated answer. The question asks whether the triangles are congruent and if so, which postulate or theorem can be used to prove their congruence. To determine congruence, we need to examine the information given. The postulates and theorems for triangle congruence are as follows: 1. Side-Side-Side (SSS): If all three sides of one triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent. 2. Side-Angle-Side (SAS): If two sides and the included angle of one triangle are congruent to the corresponding sides and included angle of another triangle, then the triangles are congruent. 3. Angle-Side-Angle (ASA): If two angles and the included side of one triangle are congruent to the corresponding angles and included side of another triangle, then the triangles are congruent. 4. Angle-Angle-Side (AAS): If two angles and a non-included side of one triangle are congruent to the corresponding angles and non-included side of another triangle, then the triangles are congruent. 5. Hypotenuse-Leg (HL): For right triangles only, if the hypotenuse and a leg of one triangle are congruent to the hypotenuse and a leg of another triangle, then the triangles are congruent. Looking at the given options, we can see that "SSS," "SAS," "ASA," "AAS," and "HL" are all possible ways to prove triangle congruence. Therefore, the triangles can be proven congruent using any of these postulates or theorems.