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:

For two triangles to be congruent by SSS (Side - Side - Side) postulate, all three pairs of corresponding sides must be congruent. In the given triangles $\triangle FGH$ and $\triangle FJH$, we need to check side - side congruence. The first option has incorrect side - equalities as there is no indication in the figure that $GH\cong GF$ and $JF\cong JH$. The second option about opposite sides of a parallelogram is not relevant here as we are not given that $FGHJ$ is a parallelogram. For congruence, we need three pairs of congruent sides. If only one or two pairs of corresponding sides are congruent, the triangles are not congruent by SSS.

Answer:

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