Question

determine the relationship between the two triangles and whether or not they can be proven to be congruent.
answer attempt 8 out of 1000
the two triangles are related by, so the triangles

Explanation:

Step1: Recall congruence criteria

The congruence criteria for triangles are AAA (not valid for congruence as it only shows 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 triangles

Since we are not given that the triangles are right - angled (so HL is out), and we know that AAA and SSA are not valid congruence criteria. If we assume that we have two angles (from the two marked angles) and a non - included side (the side with the mark), the AAS (Angle - Angle - Side) criterion can be used.

Answer:

The two triangles are related by Angle - Angle - Side (AAS), so the triangles are congruent.