Bisectors, Midpoints and Perpendiculars Notes
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
![Medians and Midsegments](https://stage.geogebra.org/resource/QqmGu4XJ/xs8ld2aP7S3RojdE/material-QqmGu4XJ.png)
Construct the perpendicular bisector of each side of the triangle.
What did you notice about the intersection of the perpendicular bisectors?