Question

identify the segment bisector of \\(\overline{rs}\\).
image of a line segment rs with midpoint m, intersected by line s. rm is labeled 12, and there are tick marks indicating rm = ms. multiple choice options: \\(\overline{ms}\\), \\(\overline{rm}\\), s, line s (with line s selected). then, the length of \\(\overline{rs}\\) is blank.

Explanation:

Step1: Define segment bisector

A segment bisector divides a segment into two congruent parts, intersecting at its midpoint. Here, line \(s\) intersects \(\overline{RS}\) at \(M\), the midpoint (marked congruent segments).

Step2: Calculate length of \(\overline{RS}\)

Given \(RM = 12\), and \(RM = MS\), so \(RS = RM + MS\).
<Expression>
$RS = 12 + 12 = 24$
</Expression>

Answer:

segment bisector: line \(s\)
length of \(\overline{RS}\): 24