Bisect a Line (Perpendicular Bisector)
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More Lessons for High School Regents Exam
Math Worksheets
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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