Question

suppose $\triangle fde \cong \triangle vut$. which side of $\triangle fde$ corresponds to $\overline{vt}$? $\circ$ $\overline{fd}$ $\circ$ $\overline{de}$ $\circ$ $\overline{fe}$

Explanation:

Step1: Recall congruent triangle notation

In congruent triangles, the order of the vertices in the congruence statement (\(\triangle FDE \cong \triangle VUT\)) indicates the corresponding vertices. So, \(F\) corresponds to \(V\), \(D\) corresponds to \(U\), and \(E\) corresponds to \(T\).

Step2: Determine corresponding sides

To find the side in \(\triangle FDE\) corresponding to \(\overline{VT}\), we look at the vertices of \(\overline{VT}\): \(V\) and \(T\). From the correspondence, \(V\) corresponds to \(F\) and \(T\) corresponds to \(E\). So the side connecting \(F\) and \(E\) in \(\triangle FDE\) (which is \(\overline{FE}\)) corresponds to \(\overline{VT}\) in \(\triangle VUT\).

Answer:

\(\overline{FE}\) (corresponding to the option with \(\overline{FE}\))