Question

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

Explanation:

Step1: Identify corresponding sides and angles

In \(\triangle XYW\) and \(\triangle TUV\), we check for SAS (Side - Angle - Side) congruence.
Let's assume \(XY = TU\), \(YW=UV\) and \(\angle XYW=\angle TUV\) (by visual inspection of the marked sides and angles in the triangles).

Step2: Write the congruence statement

The order of the vertices in the congruence statement should correspond to the congruent parts.

Answer:

\(\triangle XYW\cong\triangle TUV\)