Question

triangle congruence: asa and aas
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 the corresponding two angles and non - included side of another triangle, the triangles are congruent.

Step2: Analyze each figure

• First figure: It seems to have right angles, a common side, and marked equal sides, but the markings suggest maybe SAS or HL (Hypotenuse - Leg) rather than AAS.
• Second figure: The markings suggest SSS (Side - Side - Side) or SAS (Side - Angle - Side) congruence as it has marked equal sides and an included angle.
• Third figure: We have two right angles (so one pair of congruent angles), a pair of congruent angles (marked with the same arc), and a non - included side (the side with the tick mark). This fits the AAS congruence criterion.
• Fourth figure: The markings suggest SSS congruence with multiple marked equal sides.

Answer:

The third graph (the one with the right angle, two marked angles with arcs, and a marked side)