Question

determine the relationship between the two triangles and whether or not they can be proven to be congruent. answer attempt 1 out of 1000 the two triangles are related by , so the triangles

Explanation:

Step1: Recall congruence criteria

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

Step2: Analyze the given information

The problem shows two sides marked as equal. But we need to check the included angle or other elements. Since no angle information is given (except for the fact that we assume the triangles are related by a side - side - angle situation which is SSA). However, SSA is not a valid congruence criterion.

Answer:

The two triangles are related by Side - Side - Angle (SSA), so the triangles cannot be proven congruent.