Bisect a Line (Perpendicular Bisector)

Related Topics:
More Lessons for High School Regents Exam
Math Worksheets

Share this page to Google Classroom

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

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.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Mathway Calculator Widget

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.