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?

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Solution

Draw a point O. With O as centre and radius equal to 5 cm, draw a circle.
Take any two points A and B on the circumference of the circle and draw a line segment with A and B as its end points. AB is the chord of the circle.
With A as centre and radius more than half of AB, draw arcs on both sides of AB.
With the same radius and B as a centre, draw arcs on both sides of AB, cutting the previous two arcs at E and F.
Draw a line passing through E and F.
Line EF passes through the centre of the circle O.

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