# Bisect a Line (Perpendicular Bisector)

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Examples and solutions for High School Math based on the topics required for the Regents Exam conducted by NYSED.

How to construct the perpendicular bisector of a segment?

The following diagram shows how to bisect the line segment AB. Scroll down the page for examples and step-by-step solutions on how to construct a perpendicular bisector.

Perpendicular Bisector
When looking at a line segment, there is only one line that will pass through the midpoint that will be a constant distance between the two endpoints. This line is called the perpendicular bisector. It helps us locate the midpoint of a line segment and constructs a 90° angle.
To construct the perpendicular bisector, we first find the midpoint of the line segment and then use a compass and straightedge to draw the perpendicular line.

Bisect a Line Segment

Constructing a perpendicular bisector
Using a straight edge and a compass to bisect a segment

Bisect a Segment
Shows how to bisect a line segment using only a compass and straightedge.

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