Construction of perpendicular bisector of a line segment

Construction of perpendicular bisector of a line segment

In this section, you will learn how to construct perpendicular bisector of a line segment. 

Key Concept – Perpendicular Bisector

The line drawn perpendicular through the midpoint of a given line segment is called the perpendicular bisector of the line segment.

To construct a perpendicular bisector of a line segment, you must need the following instruments.

1. Ruler

2. Compass

The steps for the construction of a perpendicular bisector of a line segment are :

Step 1 :

Draw the line segment AB. 

Construction of perpendicular bisector of a line segment

Step 2 :

With the two end points A and B of the line segment as centers and more than half the length of the line segment as radius draw arcs to intersect on both sides of the line segment at C and D.

Construction of perpendicular bisector of a line segment

Step 3 :

Join C and D to get the perpendicular bisector of the given line segment AB.

Construction of perpendicular bisector of a line segment

In the above figure, CD is the perpendicular bisector of the line segment AB.

This construction clearly shows how to draw the perpendicular bisector of a given line segment with compass and straightedge or ruler.

This bisects the line segment (That is, dividing it into two equal parts) and also perpendicular to it. 

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