Question

which pair of triangles below are congruent by asa?

Explanation:

Step1: Recall ASA (Angle - Side - Angle) congruence criterion

ASA 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 each pair of triangles

• First pair:
• In \(\triangle ABC\) and \(\triangle GKP\), the side is not the included side between the given angles.
• Second pair:
• In \(\triangle MON\) and \(\triangle KAS\), the side is not the included side between the given angles.
• Third pair:
• In \(\triangle JKL\) and \(\triangle TAH\), the side is not the included side between the given angles.
• Fourth pair:
• In \(\triangle ABC\) and \(\triangle YDE\), we have two angles and the included side equal.

Answer:

The fourth pair of triangles.