Question

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

Explanation:

Step1: Recall the SAS (Side - Angle - Side) Theorem

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

• For \(\triangle XYZ\) and \(\triangle IJK\):
• In \(\triangle XYZ\), we have two sides (marked with double and triple tick marks) and the included angle (\(\angle Z\)).
• In \(\triangle IJK\), we have two sides (marked with double and triple tick marks) and the included angle (\(\angle K\)).
• The sides and the included angles are congruent.

Answer:

\(\triangle XYZ\cong\triangle IJK\)