Question

are triangles hto and cdl congruent?
options:
○ yes, by aas
○ yes, by asa
○ no, the triangles are not congruent.

Explanation:

Step1: Recall congruence criteria

The AAS (Angle - Angle - Side) congruence criterion 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, then the two triangles are congruent. The ASA (Angle - Side - Angle) congruence criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Step2: Analyze the given triangles

In \(\triangle HTO\) and \(\triangle CDL\), we have two angles (the marked angles) and a non - included side (the marked side) that are equal. It does not match the ASA (where the side is between the two angles) but matches the AAS.

Answer:

Yes, by AAS