Question

which shows two triangles that are congruent by aas?

Explanation:

AAS (Angle-Angle-Side) congruence requires two pairs of corresponding angles to be equal, and one pair of non-included corresponding sides to be equal.

1. The top figure shows SSS-like markings (3 pairs of equal sides).
2. The second figure shows SSS-like markings (3 pairs of equal sides).
3. The third figure has two pairs of equal angles and a pair of equal included sides (this is ASA, not AAS).
4. The bottom figure has two pairs of equal right angles, one pair of equal non-included sides, and a shared equal side, matching AAS congruence.

Answer:

D. The bottom figure with two right triangles, marked with congruent right angles, one pair of congruent non-included sides, and a shared congruent side.