Question

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

Explanation:

Step1: Recall ASA theorem

ASA (Angle - Side - Angle) theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the two triangles are congruent.

Step2: Identify congruent angles and side

In \(\triangle PQR\) and \(\triangle GFE\), we can see that \(\angle P=\angle G\) (marked with single - arc angles), the included side between the angles in both triangles (the side with one tick mark) is congruent, and \(\angle Q=\angle F\) (marked with double - arc angles).

Answer:

\(\triangle PQR\cong\triangle GFE\)