Question

identify the segment bisector of (overline{rs}).
diagram: r---m---s, with 22 between m and s
(circ) r
(circ) m
(circ) (overline{rm})
(circ) (overline{sm})
the length of (overline{rs}) is (square).

Explanation:

Part 1: Identify the segment bisector of \(\overline{RS}\)

A segment bisector is a point, line, or segment that divides a segment into two equal parts. From the diagram, point \( M \) is the midpoint (as indicated by the tick mark), so it bisects \(\overline{RS}\). \( R \) is an endpoint, \(\overline{RM}\) and \(\overline{SM}\) are segments, but the bisector here (as a point) is \( M \).

Step1: Recognize \( M \) is the midpoint

Since \( M \) bisects \(\overline{RS}\), \( RM = MS \). Given \( MS = 22 \), so \( RM = 22 \).

Step2: Calculate \( RS \)

The length of \( RS \) is \( RM + MS \). Substituting the values, we get \( RS = 22 + 22 \).

Answer:

B. \( M \)

Part 2: Find the length of \(\overline{RS}\)