Question

identify the segment bisector of \\(\overline{rs}\\).
line segment rs with point m in the middle, rm and ms marked as equal, ms labeled 22
options: r, m, \\(\overline{rm}\\), \\(\overline{sm}\\)
the length of \\(\overline{rs}\\) is \\(\square\\).

Explanation:

Step1: Define segment bisector

A segment bisector divides a segment into two equal parts. From the diagram, $M$ splits $\overline{RS}$ into $\overline{RM}$ and $\overline{SM}$, where $SM=22$. Since $M$ is the bisector, $RM=SM=22$.

Step2: Calculate length of $\overline{RS}$

Add lengths of $\overline{RM}$ and $\overline{SM}$.
$\overline{RS} = RM + SM = 22 + 22$

Answer:

Segment bisector: M
Length of $\overline{RS}$: 44