Question

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

Step1: Recall 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 each triangle

• For \(\triangle BCD\): Let's consider the sides and included angle.
• For \(\triangle H IJ\):
• In \(\triangle BCD\) and \(\triangle H IJ\), we can observe that one pair of sides (marked with one tick) are congruent, the included angles (marked with the red arc) are congruent, and another pair of sides (marked with two ticks) are congruent.

Answer:

\(\triangle BCD\cong\triangle HIJ\)