Question

what is the missing statement that will show that the following two triangles are congruent by sss? informal proof: (overline{de}) is congruent to (overline{hg}), (overline{df}) is congruent to (overline{hi}). o (overline{ef}congoverline{gi}) o (overline{de}congoverline{ih}) o (overline{df}congoverline{gh}) o (overline{ef}congoverline{gh})

Explanation:

Step1: Recall SSS congruence criterion

For two triangles to be congruent by SSS (Side - Side - Side), all three pairs of corresponding sides must be congruent. Given that \(DE\cong HG\) and \(DF\cong HI\), we need the third - pair of corresponding sides to be congruent.

Step2: Identify the third - pair of sides

The third pair of corresponding sides for \(\triangle DEF\) and \(\triangle HGI\) are \(EF\) and \(GI\). So, we need \(EF\cong GI\).

Answer:

EF≅GI