If A and B are points in the plane the perpendicular bi sector of AB is the set of all points equidistant A and B?

The perpendicular bisector of segment AB is a line that intersects AB at its midpoint and is perpendicular to AB. This line consists of all points in the plane that are equidistant from points A and B. Therefore, any point on the perpendicular bisector will have the same distance to both A and B. This property makes the perpendicular bisector a crucial concept in geometry, particularly in constructions and proofs.