7. Construct a perpendicular bisector

In your earlier classes, you learned about the line segments and basic types of angles. Now in this lesson, we are going to construct a following get proper visual understanding.

The construction of perpendicular bisector of a line segment:

 

Make a note of the following steps to construct a perpendicular bisector of the line segment $AB = 10 cm$.

 

Step 1: Draw a line and mark two points $A$ and $B$ on it. That is, $AB = 10cm$.

 

 

Step 2: Make $A$ as centre and radius more than half of the length of $AB$, draw two arcs of same length, one above $AB$ and one below $AB$.

 

 

Step 3: Now take $B$ as centre, draw two arcs with the same radius to cut the arcs drawn in step $2$. Mark the points of intersection of the arcs as $C$ and $D$.

 

 

Step 4: Then, join $C$ and $D$. The line $CD$ will intersect $AB$. Mark the point of intersection as $O$. $CD$ is the required perpendicular bisector of $AB$. Now measure the distance between $A$ and $O$ and $O$ and $B$. We have $AO = OB$ $= 5 cm$.