Question

in exercises 3 - 6, identify the segment bisector of rs. then find rs. (see example 1.) assignment 1.3 midpoint and segment bisectors

Explanation:

Step1: Recall segment - bisector property

A segment bisector divides a line segment into two equal parts. Since the line \(k\) intersects \(\overline{RS}\) at its mid - point \(M\) and we know that the two segments formed by the bisector are equal. Let \(RM = MS\). Given \(RM=17\), then \(MS = 17\).

Step2: Calculate the length of \(RS\)

By the segment - addition postulate, \(RS=RM + MS\). Substitute \(RM = 17\) and \(MS = 17\) into the formula. So \(RS=17 + 17\).

Answer:

34