Question

Draw a circle with centre at point O and radius 5 cm. Draw its chord AB, draw the perpendicular bisector of line segment AB. Does it pass through the centre of the circle?

Answer 1

(i) Draw a circle with centre O and radius 5 cm.

(ii) Draw its chord AB.

(iii) Draw a circle with centre A with radius more than 1/2 AB. 

Similarly, 

Draw a circle with centre B with same radius 1/2 AB which intersect above circle at M and N respectively.

(iv) Draw line segment MN which intersect AB at point P.

We can see that, 

Perpendicular bisector MN of AB passes through centre O.