Question

complete the proof that ( \triangle ghicong\triangle fej ).

Explanation:

Step1: Recall the ASA (Angle - Side - Angle) congruence criterion

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: Identify the congruent parts

We have \(\angle HGI\cong\angle EFJ\) (given), \(GI = FJ\) (from step 7), and \(\angle EJF\cong\angle GIH\) (given).

Answer:

\(\triangle GHI\cong\triangle FEJ\) by the ASA (Angle - Side - Angle) congruence criterion.