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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.


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
We need to understand the difference between medians and midsegments. Both require the same steps to find. However, they are different segments.

Construct the perpendicular bisector of each side of the triangle.

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