Question

decide whether enough information is given to prove that $\triangle abc \cong \triangle dbe$ using the sss congruence theorem. explain.

you are given that $\overline{ab} \cong \square$, $\overline{bc} \cong \square$, and $\overline{ac} \cong \square$. so, the triangles $\square$ be proven congruent using the sss congruence theorem

Explanation:

Step1: Identify congruent segments

From the diagram: $\overline{AB} \cong \overline{DB}$, $\overline{BC} \cong \overline{BE}$, $\overline{AC} \cong \overline{DE}$

Step2: Apply SSS Congruence Theorem

SSS requires all 3 pairs of corresponding sides of the two triangles to be congruent. We have all 3 pairs of corresponding sides congruent for $\triangle ABC$ and $\triangle DBE$.

Answer:

$\overline{AB} \cong \overline{DB}$, $\overline{BC} \cong \overline{BE}$, and $\overline{AC} \cong \overline{DE}$. So, the triangles can be proven congruent using the SSS Congruence Theorem.