Question

which shows two triangles that are congruent by aas?

Explanation:

Step1: Recall AAS congruence

AAS (Angle - Angle - Side) congruence states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent.

Step2: Analyze the first figure

In the first figure, we have two right angles (congruent), another pair of angles (marked) congruent, and a common side (but for AAS, we need a non - included side. Here, the side is between the two right angles, not a non - included side for the non - right angles).

Step3: Analyze the second figure

In the second figure, we can identify two pairs of angles (by the markings) and a non - included side (the side that is not between the two pairs of marked angles) that are congruent, which satisfies the AAS criterion.

Step4: Analyze the third figure

The third figure seems to have side - side - side (SSS) or side - angle - side (SAS) markings rather than AAS.

Answer:

The second figure.