# Bisectors, Midpoints and Perpendiculars Notes

- Author:
- Kevin Tanton

Constructing a Perpendicular Bisector

What is the relationship to points F and G to all points along the perpendicular bisector?

In your own words, explain the steps to construct a perpendicular bisector.

## Guided Practice

Construct a perpendicular bisector for each segment.

## Midpoints

Constructing a perpendicular bisector can be used to find the midpoint of a line segment. A similar process can also be used to find a line perpendicular to another line through a given point.

Construct a line that's perpendicular to the line, through the point not on the line.

## Medians and Midsegments

## Construct the perpendicular bisector of each side of the triangle.

What did you notice about the intersection of the perpendicular bisectors?