1. **State the problem:** We need to determine which shortcut can be used to prove that the two right triangles shown are congruent. 2. **Identify given information:** Both triangles are right triangles (each has a right angle). 3. **Look for congruent parts:** The triangles share a common side (hypotenuse), and another pair of sides are marked congruent. 4. **Recall congruence shortcuts for right triangles:** - **HL (Hypotenuse-Leg) theorem:** If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, the triangles are congruent. - Other shortcuts like SAS, ASA, AAS apply generally but HL is specific and often simpler for right triangles. 5. **Apply HL theorem:** Since the triangles share the hypotenuse (common side) and have another leg marked congruent, by HL theorem, the triangles are congruent. **Final answer:** The shortcut used is **HL (Hypotenuse-Leg)** theorem.