Question

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

Step1: Recall ASA (Angle - Side - Angle) Congruence Theorem

ASA states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Step2: Analyze the triangles

For \(\triangle STU\) and \(\triangle HFG\):

• In \(\triangle STU\), we have two angles (marked with arcs) and the included side (marked with one tick).
• In \(\triangle HFG\), we have two angles (marked with arcs) and the included side (marked with one tick).

By ASA, \(\triangle STU\cong\triangle HFG\)

Answer:

\(\triangle STU\cong\triangle HFG\)