Question

are these triangles congruent? yes, by sas yes, by sss no, they are not congruent yes, by aas

Explanation:

Step1: Recall congruence criteria

The SAS (Side - Angle - Side) criterion states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent. The SSS (Side - Side - Side) criterion requires all three sides to be equal. The AAS (Angle - Angle - Side) criterion needs two angles and a non - included side to be equal.

Step2: Analyze the given figure

In the figure, we have two sides marked as equal (by the tick marks). But there is no information about an included angle (for SAS), all three sides (for SSS), or two angles (for AAS).

Answer:

No, they are not congruent