Question

13 multiple choice 1 point state whether these triangles are congruent by asa, aas, or none. a) none b) asa c) aas a b c

Explanation:

Step1: Recall ASA and AAS congruence criteria

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

Step2: Analyze the given triangles

In the given triangles, we have two angles equal. But the side is not the included side for the given angles. So, it does not satisfy ASA. However, since two angles are equal (which implies the third angle is also equal as the sum of angles in a triangle is \(180^{\circ}\)) and a non - included side is equal, it satisfies AAS.

Answer:

C. AAS