Question

triangle congruence: asa and aas
which shows two triangles that are congruent by asa?

Explanation:

Step1: Recall ASA Congruence

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

Step2: Analyze Each Option

• First Option: The markings show two angles and a non - included side (AAS - like) or maybe not matching ASA.
• Second Option: The two triangles have two angles marked equal (the curved markings) and the included side (the side between the two angles) is common in terms of the marking (the triangles are similar in shape with the same angle markings and the included side seems to be congruent). This fits the ASA criterion as we have two angles and the included side congruent.
• Third Option: This seems to be a triangle with a perpendicular bisector, related to isosceles triangle properties or SSS/SAS, not ASA.
• Fourth Option: The markings here are more related to a single triangle with an angle and a side, not two triangles with ASA congruence.

Answer:

The Middle Graph (the second set of triangles with the curved angle markings)