Perpendicular Bisectors

In the first section, you learned how to construct the perpendicular bisector of a segment.  In this section, you will learn more about the properties of perpendicular bisectors.

If a line or a segment is perpendicular to another segment at its midpoint, it is called the perpendicular bisector.

In the figure, BR = DR, and all the angles around R are 90 degrees. Thus, RF is the perpendicular bisector of BD. But BD is not the perpendicular bisector of AF, because we don't know whether R is the midpoint of AF.