Question

identify the segment bisector of \\(\overline{rs}\\).
(image of line segment rs with point m in the middle, intersected by line k, and rm labeled 17)
options:

• line k
• \\(\overline{rm}\\)
• s
• \\(\overline{ms}\\)

the length of \\(\overline{rs}\\) is \\(\square\\).

Explanation:

Step1: Define segment bisector

A segment bisector is a line/ray/segment that divides a segment into two equal parts at its midpoint. From the diagram, line $k$ intersects $\overline{RS}$ at $M$, which is the midpoint (marked by congruent segments).

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

Given $\overline{RM}=17$, and $M$ is the midpoint, so $\overline{MS}=\overline{RM}=17$. The total length is $\overline{RM}+\overline{MS}$.
$\overline{RS}=17+17=34$

Answer:

A. line k
B. 34