1. The problem asks to identify which shortcut can be used to prove that the given pair of triangles is congruent.
2. The common shortcuts for triangle congruence are:
- Side-Angle-Side (SAS): Two sides and the included angle are equal.
- Angle-Angle-Side (AAS): Two angles and a non-included side are equal.
- Side-Side-Side (SSS): All three sides are equal.
- Angle-Side-Angle (ASA): Two angles and the included side are equal.
3. From the description, the triangles share a line segment (a side), and each has a right angle marked near the bottom vertices, indicating two angles are equal (both right angles).
4. Since the triangles share a side and have two equal angles (one right angle each), the congruence can be established by Angle-Side-Angle (ASA) because:
- One angle is the right angle in each triangle.
- The side they share is common.
- The other angle adjacent to the shared side is equal by the mirror image property.
5. Therefore, the correct shortcut is D. Angle-Side-Angle.
Final answer: D. Angle-Side-Angle
Triangle Congruence 9E2A9F
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