A perpendicular bisector runs through the middle of a line segment and splits it into two unequal pieces two congruent pieces three congruent pieces

A perpendicular bisector elegantly divides a line segment into two congruent pieces, meaning they are equal in length. This nifty geometric feature not only establishes symmetry but also reveals fascinating properties, such as the fact that any point on the bisector is equidistant from the endpoints of the segment. In the real world, you can spot perpendicular bisectors at work in everything from architectural designs to engineering projects. For instance, when creating a blueprint for a bridge, ensuring that supporting beams are evenly placed can create a stable, balanced structure. So, the next time you see a perfectly symmetrical design, remember the magic of perpendicular bisectors at play!