Construction: Perpendicular Bisector of a Line Segment

This GeoGebra example demonstrates the step-by-step construction of the perpendicular bisector of a given line segment, illustrating that every point on the bisector is equidistant from the segment's endpoints. The core mathematical concepts include line segments, perpendicularity, bisection, circles, and intersection points, along with midpoint, angle, and text annotations. The construction uses GeoGebra commands such as Segment to create segment PQ, Point to mark endpoints, Circle to draw equal-radius circles centered at P and Q, Intersect to find the circle intersections, Midpoint to locate the segment's midpoint, Angle to mark the right angle, and Text to add explanatory labels. This resource is ideal for middle school geometry lessons, helping students grasp the principles of compass-and-straightedge construction and the perpendicular bisector theorem, and can be used for dynamic verification of the property.