Question

identify the segment bisector of $overline{xy}$.
the length of $overline{xy}$ is

Explanation:

Step1: Recall segment - bisector definition

A segment bisector divides a line segment into two equal parts. Here, line \(n\) intersects \(\overline{XY}\) at point \(M\) such that \(XM = MY\).

Step2: Identify the bisector

Since a segment bisector can be a line, ray, or another segment that divides \(\overline{XY}\) into two equal - length segments, and line \(n\) divides \(\overline{XY}\) at \(M\), the segment bisector of \(\overline{XY}\) is line \(n\).

Answer:

C. line \(n\)