Question

select
not necessarily congruent
congruent:
△ghi≅△\boxed{}\text{ by the }

Explanation:

Step1: Identify the congruent parts

In \(\triangle GHI\) and \(\triangle TKJ\), we have \(HI = KJ\) (marked as equal), \(\angle GHI=\angle TKJ\) (marked as equal), and \(\angle HIG=\angle KJT\) (marked as equal).

Step2: Apply the ASA (Angle - Side - Angle) congruence criterion

The ASA congruence criterion states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent. Here, in \(\triangle GHI\) and \(\triangle TKJ\), we have two angles and the included side (the side between the two angles) equal.

Answer:

Congruent: \(\triangle GHI\cong\triangle TKJ\) by the ASA (Angle - Side - Angle) criterion.