Question

which explains whether △fgh is congruent to △fjh? they are congruent because (overline{gh}congoverline{gf}), (overline{jf}congoverline{jh}), and (overline{fh}congoverline{fh}). they are congruent because opposite sides of a parallelogram are congruent. they are not congruent because only one pair of corresponding sides is congruent. they are not congruent because only two pairs of corresponding sides are congruent.

Explanation:

Step1: Recall congruence criteria

For two triangles to be congruent, we need SSS (Side - Side - Side), SAS (Side - Angle - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side) or HL (Hypotenuse - Leg for right - triangles) criteria to be met.

Step2: Analyze given information

In \(\triangle FGH\) and \(\triangle FJH\), from the markings on the figure, we see that we only have two pairs of corresponding sides congruent. We do not have enough information to satisfy any of the congruence criteria.

Answer:

They are not congruent because only two pairs of corresponding sides are congruent.