Points, Lines, Planes: Interactive Geometric Construction

① This GeoGebra example dynamically demonstrates the fundamental relationships among points, lines, and planes, including intersections, parallelism, perpendicularity, and prisms formed by these elements. ② Core mathematical concepts include Euclidean geometry definitions of points, lines, and planes, positional relations between lines and planes, and basic geometric elements such as polygons, prisms, and angles. ③ Construction highlights: using commands like Polygon, Ray, Segment, Point, Line, OrthogonalLine, and Angle, it creates points A, B, C, D, planes q1 and q2, lines and segments a through n and p through s, and angle objects like α, illustrating a step-by-step build from 2D to 3D geometry. ④ Suitable for middle school geometry, introductory college geometry, or self-learners, this example aids in visualizing spatial concepts and verifying geometric theorems through dynamic interaction.