Question

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

Step1: Recall AAS Theorem

AAS (Angle - Angle - Side) Theorem states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent.

Step2: Identify Congruent Parts

In \(\triangle CDE\) and \(\triangle IJH\):

• \(\angle C\cong\angle I\) (one pair of angles)
• \(\angle D\cong\angle H\) (second pair of angles)
• \(DE\cong JH\) (non - included side)

Answer:

\(\triangle CDE\cong\triangle IJH\)