Basic Polygon Constructions: From Segments to Regular Polygons

①This example demonstrates how to construct basic polygons in GeoGebra, starting from a given segment and progressively building regular polygons such as equilateral triangles and squares. ②Core mathematical concepts include fundamental geometric construction rules, properties of regular polygons, the relationship between side length and central angle, and the roles of continuity and arithmetic in the construction process. ③Construction highlights: Based on the construction summary, the example primarily uses the GeoGebra object B_1 (likely a point or segment), combined with continuity, arithmetic, planes, and secant line tools to locate vertices and connect sides. ④Suitable for middle school to high school students learning geometric construction, and for teachers demonstrating how ruler-and-compass constructions can be implemented in dynamic software, helping students understand the logic and precision of geometric construction.