What is the definition of a perpendicular bisector in relation to a chord of a circle?

A perpendicular bisector of a chord in a circle is a line that intersects the chord at its midpoint and forms right angles (90 degrees) with it. What’s fascinating is that this line will always pass through the center of the circle! This geometric property is super handy in various proofs and constructions involving circles. Moreover, if you ever find yourself drawing the radius to the endpoints of the chord, you'll discover that these radii are equal in length. Why? Because the perpendicular bisector divides the chord into two equal segments, making those line segments from the center to the chord's endpoints not just equal, but also adding a flair of symmetry to your circle!