The perpendicular bisector of a chord is a line that intersects the chord at its midpoint and forms right angles with the chord.
The Perpendicular Bisector of a Chord Theorem, also known as Theorem 12-10, states that the perpendicular bisector of a chord of a circle passes through the center of the circle. In other words, if you draw a chord on a circle and then draw a line that is perpendicular to the chord and passes through its midpoint, it will always intersect the center of the circle.
