Question

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

Answer 1

Steps of construction :

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

(ii) Draw a chord $AB$ of the circle.

(iii) With centres $A$ and $B$ and radius more than half of $AB$ draw arcs interesting each other at $P$ and $Q$.

(iv) Join $PQ$ which intersects $AB$ at $D$ and passes through $O$, the centre of the circle.