Question

which two triangles are congruent by the asa theorem? complete the congruence statement.

Explanation:

Step1: Recall ASA (Angle - Side - Angle) theorem

ASA theorem 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 triangles

• For \(\triangle CAB\) and \(\triangle WYX\):
• In \(\triangle CAB\), we have two angles (marked) and the side between them (marked with one tick).
• In \(\triangle WYX\), we have two angles (marked) and the side between them (marked with two ticks). So, this is not a match.
• For \(\triangle CAB\) and \(\triangle SUT\):
• In \(\triangle CAB\), we have two angles (marked) and the side between them (marked with one tick).
• In \(\triangle SUT\), we have two angles (marked) and the side between them (marked with one tick).

Answer:

\(\triangle CAB\cong\triangle SUT\)