Question

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

Explanation:

Step1: Recall SAS Theorem

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

Step2: Analyze the triangles

In \(\triangle FGH\), we have two sides \(FG\) and \(GH\) and the included angle \(\angle G\). In \(\triangle DCB\), we have two sides \(DC\) and \(CB\) and the included angle \(\angle D\). The markings on the triangles show that \(FG = DC\), \(\angle G=\angle D\), and \(GH = CB\).

Answer:

\(\triangle FGH\cong\triangle DCB\)