Question

developing proof in exercises 18 and 19, use the photo of the navajo rug. assume that \\( \overline{bc} \cong \overline{de} \\) and \\( \overline{ac} \cong \overline{ce} \\). 18. what other piece of information is needed to prove that \\( \triangle abc \cong \triangle cde \\) using the sss congruence postulate?

Explanation:

Step1: Recall SSS Congruence Postulate

The SSS (Side - Side - Side) Congruence Postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Step2: Analyze given congruent sides

We are given that \( \overline{BC}\cong\overline{DE}\) and \( \overline{AC}\cong\overline{CE}\).

Step3: Determine the missing side

For \( \triangle ABC\) and \( \triangle CDE\), the third pair of sides is \( \overline{AB}\) and \( \overline{CD}\).

Answer:

\( \overline{AB}\cong\overline{CD}\)