Question

look at the diagram.
which term describes \\(\overline{eg}\\)?
options: angle bisector, altitude, median, none of these

Explanation:

To determine the term for \(\overline{EG}\), we analyze the given lengths: \(FG = 53\) and \(DG = 53\), so \(G\) is the midpoint of \(FD\). A median of a triangle is a segment from a vertex to the midpoint of the opposite side. Here, \(E\) is a vertex, and \(G\) is the midpoint of \(FD\), so \(\overline{EG}\) connects vertex \(E\) to the midpoint of \(FD\), fitting the definition of a median.

Answer:

median