Drawing perpendicular bisector of a line segment

Let’s follow these steps

1.Given a line segment AB.

2. Now with A as center, and radius more than half AB,

          draw an arc on top and bottom of AB

3. Now with B as center, and same radius ,

          draw an arc on top and bottom of AB

4. Where the two arcs intersect above AB is point C
   and where the two arcs intersect below AB is point D
   Join CD
   
   
   

   ∴ CD is the perpendicular bisector of AB