1. The problem asks which postulate or theorem can be used to prove the congruence of two right triangles HIJ and STQ. 2. Given information: - Both triangles have a right angle (at I and T). - The segment HJ in triangle HIJ is congruent to segment SQ in triangle STQ (marked with two slashes). 3. Important rules for triangle congruence involving right triangles: - Side-Angle-Side (SAS): Two sides and the included angle are congruent. - Angle-Side-Angle (ASA): Two angles and the included side are congruent. - Hypotenuse-Leg (HL): In right triangles, if the hypotenuse and one leg are congruent, the triangles are congruent. - Side-Side-Angle (SSA): Generally not a valid congruence postulate. 4. Since both triangles are right triangles, and we know one leg (HJ and SQ) are congruent, and the right angle is congruent by definition, the Hypotenuse-Leg (HL) theorem applies if the hypotenuses are also congruent. 5. The problem states the right angles and one pair of sides are congruent, which matches the Hypotenuse-Leg (HL) congruence postulate. Final answer: Hypotenuse-Leg Congruence