Question

determine the relationship between the two triangles and whether or not they can be proven to be congruent. answer attempt 3 out of 1000 the two triangles are related by , so the triangles

Explanation:

Step1: Recall congruence criteria

We have different congruence criteria like AAA (not valid for congruence as it only gives similarity), HL (for right - angled triangles), SSA (not a valid congruence criterion in general), AAS (if two angles and a non - included side are equal), ASA (if two angles and the included side are equal), SSS (if all three sides are equal), and SAS (if two sides and the included angle are equal).

Step2: Analyze the given information

Since we are not given information about right - angles (so HL is out), AAA is not for congruence, SSA is not valid. If we assume that we have two angles and a non - included side (AAS) or two angles and the included side (ASA) based on the general triangle congruence concepts. But if we consider the side - angle - side (SAS) criterion, if we have two sides and the angle between them equal in the two triangles.

Answer:

The two triangles are related by \(AAS\) (or \(ASA\) or \(SAS\) depending on the actual side - angle - side/angle - side - angle/angle - angle - side relationships in the complete figure, but if we assume a non - included side with two angles \(AAS\) is a valid congruence criterion), so the triangles are congruent.