Question

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

Explanation:

Step1: Recall SAS - Side - Angle - Side

The 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 \(\triangle HIJ\) and \(\triangle BDC\), we can see that:

• In \(\triangle HIJ\), we have two sides with markings and the included - angle.
• In \(\triangle BDC\), we have two sides with corresponding markings and the included - angle. The side - angle - side relationships match.

Answer:

\(\triangle HIJ\cong\triangle BDC\)