Chapter 4.7, Problem 3CE

To determine

To complete: the blank in the given statement.

Answer to Problem 3CE

Perpendicular bisector

Explanation of Solution

Given information:

The given statement is “If K is the midpoint of $\overline{ST}$ and $\overline{RK}\perp \overline{ST}$ , then $\overline{RK}$ is called

  $a(n)$

$\underset{\_}{}$ of $\overline{ST}$ ”.

The given figure is as follows:

Consider the given triangle $\Delta RST.$

The perpendicular bisector of triangle is a line drawn from a vertex and is perpendicular to the opposite side and passes through its midpoint.

The perpendicular bisector $\overline{RK}$ is the line perpendicular to $\overline{ST}$ and passes through its midpoint K.

The blank is filled with term perpendicular bisector.