Chapter 4.7, Problem 12WE

3

To determine

To complete: the blank in the given statement.

Answer to Problem 12WE

Perpendicular bisector of $\overline{LF.}$

Explanation of Solution

Given information:

The given statement is “If O is Equidistant from L and F, then O lies on the $\underset{\_}{}$ .

The given figure is as follows:

Consider the given figure,

When a point lies on perpendicular bisector of a line, then it is equidistant from the two end points.

So, O is on the perpendicular bisector of $\overline{LF.}$

Hence,

The blank is filled with term “perpendicular bisector of $\overline{LF.}$ ”