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
Construct the perpendicular bisector of each side of the triangle.
What did you notice about the intersection of the perpendicular bisectors?