Question

9 multiple choice 1 point state whether these triangles are congruent by asa, aas, or none. a) aas b) asa c) none 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 figure, we have two angles (the two base angles of the large triangle which are split into two pairs of equal angles by the line) and the common side (the line that divides the large triangle). The side is included between the two angles (the angles at the top of the two smaller triangles and the base angles).

Answer:

B. ASA