Question

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

Explanation:

Step1: Recall congruence criteria

For two triangles to be congruent, all corresponding sides and angles must be congruent. In \(\triangle FGH\) and \(\triangle FJH\), we are given some side - congruence information.

Step2: Analyze given side - congruence

We know that for congruence of two triangles (by SSS - Side - Side - Side criterion), all three pairs of corresponding sides must be congruent. Just having two pairs of corresponding sides congruent is not enough.

Answer:

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