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 5 cm draw a circle 

2. Draw a chord AB. 

3. With center A and radius more than 1/2AB 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.