Question

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

Explanation:

Step1: Recall congruence criteria

For two triangles to be congruent by SSS (Side - Side - Side) criterion, all three pairs of corresponding sides must be congruent.

Step2: Analyze given sides

In \(\triangle FGH\) and \(\triangle FJH\), from the markings, we have \(GH = JH\) and \(FG=FJ\), and \(FH\) is common to both triangles (\(FH = FH\)). So all three pairs of corresponding sides are congruent.

Answer:

They are congruent because \(\overline{GH}\cong\overline{JH}\), \(\overline{GF}\cong\overline{JF}\), and \(\overline{FH}\cong\overline{FH}\)