Question

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

Explanation:

Step1: Recall ASA and AAS criteria

ASA (Angle - Side - Angle) congruence criterion: Two angles and the included side of one triangle are equal to two angles and the included side of another triangle.
AAS (Angle - Angle - Side) congruence criterion: Two angles and a non - included side of one triangle are equal to two angles and the corresponding non - included side of another triangle.
In the given figure of two triangles formed by a diagonal of a quadrilateral, we have two pairs of angles equal. But we do not know if any pair of sides is equal.

Step2: Check for congruence

Since we have no information about the equality of sides (neither the included side for ASA nor the non - included side for AAS), we cannot apply either ASA or AAS congruence criteria.

Answer:

b) None