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

Steps of construction:
1. With center O and radius 5cm draw a circle
2. Draw a chord AB.
3. With center A and radius more than `1/2` AB draw arcs one on each side of
4. With center B and same radius draw arcs cutting previous arcs at P and Q respectively.
5. Join PQ
∴ yes perpendicular bisector PQ of AB passes through center of the circle