Question

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

Explanation:

Step1: Recall SAS Congruence Theorem

The SAS (Side - Angle - Side) Congruence 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 \(\triangle HIG\) and \(\triangle SUT\):

• In \(\triangle HIG\), we have two sides (marked with double and single tick marks) and the included angle (marked with an arc).
• In \(\triangle SUT\), we have two sides (marked with double and single tick marks) and the included angle (marked with an arc).

The two sides and the included angle of \(\triangle HIG\) are congruent to the two sides and the included angle of \(\triangle SUT\).

Answer:

\(\triangle HIG\cong\triangle SUT\)