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What is Perpendicular Bisector theorem?
A perpendicular bisector is a line that bisects a line segment in two equal parts and makes an angle of 90 degrees at the point of intersection. In other words, we can say that a perpendicular bisector divides a line segment at its midpoint making an angle of 90 degrees.
Steps for Constructing Perpendicular Bisector
Follow the steps below to construct a perpendicular bisector of a line segment.
- Step 1: Draw a line segment AB of any suitable length.
- Step 2: Take a compass, and with A as the center and with more than half of the line segment AB as width, draw arcs above and below the line segment.
- Step 3: Repeat the same step with B as the center.
- Step 4: Label the points of intersection as 'P' and 'Q'.
- Step 5: Join the points 'P' and 'Q'. The point at which the perpendicular bisector PQ intersects the line segment AB is its midpoint. Label it as 'O'.
as, we know the perpendicular bisector bisect the line segment into equal parts.
Learn more about perpendicular bisector here:
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