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J2. Properties of a circle : perpendicular from the centre. Draw a circle Draw a chord. Draw a perpendicular from the centre to this chord. The chord will be bisected by this perpendicular. The chord will always be bisected by the perpendicular regardless of the size of the circle or where the chord is drawn. Therefore... The perpendicular from the centre to a chord bisects the chord. Sorry, this page requires a Java-compatible web browser. Change the size of the circle and where the chord is drawn. The chord CD remains bisected by the perpendicular.