Question

identify the segment bisector of rs. the length of rs is .

Explanation:

Step1: Recall segment - bisector definition

A segment bisector divides a line segment into two equal parts. Point M divides segment $\overline{RS}$ into two parts, and $\overrightarrow{MA}$ passes through M. So, $\overrightarrow{MA}$ is the segment bisector of $\overline{RS}$.

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

Since M is the mid - point of $\overline{RS}$ and one part (MS) has a length of 9, then $RS = 2\times MS$. So, $RS=2\times9 = 18$.

Answer:

The segment bisector of $\overline{RS}$ is $\overrightarrow{MA}$.
The length of $\overline{RS}$ is 18.