Chapter 4.7, Problem 5CE

To determine

To complete: the blank in the given statement.

Explanation of Solution

Given information:

The given statement is “If R is on the perpendicular bisector of $\overline{ST}$ , then R is

equidistance from $\underset{\_}{}$ and $\underset{\_}{}$ . Thus $\underset{\_}{}=\underset{\_}{}.$ ”

The given figure is as follows:

  

Consider the given triangle $\Delta RST.$

The perpendicular bisector $\overline{RK}$ is the line perpendicular to $\overline{ST}$ and passing through

its midpoint of $\overline{ST}$ .

Hence, R is equidistance from S and T. Thus $\overline{RS}=\overline{RT}$