Interactive Exploration of Distance Between Two Points

This GeoGebra applet lets you drag two points in the Cartesian plane and instantly visualizes the segment connecting them while displaying its length. It demonstrates the distance formula derived from the Pythagorean theorem, introduces the concept of vector magnitude, and shows how auxiliary constructions such as lines, intersections, angles, and midpoints are created using GeoGebra commands (Segment, Line, Intersect, Angle, Midpoint). The worksheet includes objects A, B, the segment a, angle α, and other labels to make the construction clear. Ideal for middle and high school math lessons, it serves both as a classroom demonstration tool and a student activity for hands‑on exploration of coordinate geometry.