Question

hl
sas
sss
asa
aas

Explanation:

Step1: Analyze the given information

We know that \( \angle F \cong \angle H\) (alternate - interior angles as the lines are parallel), \(FG = HG\) (given), and \( \angle FGF=\angle HGG\) (vertical angles are congruent).

Step2: Recall the congruence criteria

The Side - Angle - Side (SAS) congruence criterion 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.

Answer:

SAS