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 can use SSS (Side - Side - Side) criterion where all three pairs of corresponding sides are congruent.

Step2: Analyze given sides

In \(\triangle FGH\) and \(\triangle FJH\), we have \(\overline{GH}
eq\overline{GF}\), \(\overline{JF}
eq\overline{JH}\). Also, just having \(\overline{FH}\cong\overline{FH}\) (common side) and at most two pairs of corresponding sides congruent is not enough for SSS congruence.

Answer:

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