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 AB/2,

draw arcs one on each side of

1. With center B and same radius draw arcs cutting previous arcs at P and Q respectively.

2. Join PQ

therefore yes perpendicular bisector PQ of AB passes through center of the circle