Question

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

Explanation:

Step1: Recall SAS theorem

The SAS (Side - Angle - Side) theorem states that two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

Step2: Examine the triangles

In \(\triangle ABC\) and \(\triangle PQR\), we have \(AB = PQ\) (single - marked sides), \(\angle B=\angle Q\) (marked angles), and \(BC = QR\) (double - marked sides).

Answer:

\(\triangle ABC\cong\triangle PQR\)