Perpendicular Bisector Definition: Interactive Exploration

This GeoGebra example dynamically illustrates the definition of a perpendicular bisector as the locus of points equidistant from the endpoints of a segment. It demonstrates the core concepts of midpoint, perpendicularity, rotation symmetry, and isosceles triangles. The construction uses commands such as Segment to create segment AB, Midpoint to find its center, Rotate to generate perpendicular directions, Angle to mark right angles, and Line to draw the bisector. Key objects include points A, B, C, segments f, g, h, j, rotated points A', C', j', b, B', angle α, plus text and button elements for interactive prompts. This resource is ideal for middle school or high school geometry classes, helping students grasp the formal definition of a perpendicular bisector and its connection to symmetry and triangle properties through hands-on manipulation.