1. **State the problem:** We need to determine which postulate (ASA, SAS, AAS, or Not Possible) proves the congruency of the two right triangles in the diagram. 2. **Identify given information:** - Both triangles have a right angle (⏹) at points A and D. - They share segment $\overline{EB}$ (common side). - Points E and B are connected, and E lies between D and B. 3. **Recall congruence postulates:** - **ASA (Angle-Side-Angle):** Two angles and the included side are congruent. - **SAS (Side-Angle-Side):** Two sides and the included angle are congruent. - **AAS (Angle-Angle-Side):** Two angles and a non-included side are congruent. 4. **Analyze the triangles:** - Both have a right angle (angle at A and D). - They share side $\overline{EB}$. - The angle at E is common to both triangles. 5. **Apply the postulate:** - We have two angles (right angle and angle at E) and the side between them ($\overline{EB}$) common. - This matches the **ASA** postulate. **Final answer:** The triangles are congruent by the **ASA** postulate.