### Perpendicular from center to chord:

Perpendicular bisector of a chord passes through the center of a circle. In a circle a radius is perpendicular to a chord then the radius bisects the chord. If in a circle a radius bisects a chord then the radius is perpendicular to the chord, if in a circle a radius bisects a chord then the radius bisects the corresponding arc too, if a straight line bisects a chord of a circle and is perpendicular to the chord then the straight line passes through the center of the circle, and