## 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.

**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.

**Step 3 :**

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

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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