In a circle, a radius perpendicular to a chord bisects the chord.
Converse:Â Â In a circle, a radius that bisects a chord is perpendicular to the chord.
Also stated:Â Â In a circle, the perpendicular bisector of a chord passes through the center of the circle
Extended form:Â In a circle, a diameter perpendicular to a chord bisects the chord and its arc.