Draw a circle of radius 4 cm. Draw any two of its chords. Construct the perpendicular bisectors of these chords. Where do they meet?

Step 1: Draw a circle of radius 4cm using a compass and draw arbitrary two chords AB and CD



Step 2: With A as centre and radius AB draw An arc. With B as a centre and same radius draw another. Join the point of intersections.



Step 3: With D as centre and radius CD draw a circle. With C as a centre and same radius draw a circle. Join the point of intersections


Step 2 and 3 give the perpendicular bisectors of the chords



So the perpendicular bisectors pass through the centre


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