Inscribed Angle and Diameter

This example demonstrates the relationship between inscribed angles and diameters in a circle, visually proving that an inscribed angle is half of the central angle subtended by the same arc. Core mathematical concepts include the inscribed angle theorem, central angles, similar triangles, and geometric constructions. It utilizes GeoGebra commands and objects such as Circle, Line, Intersect, Segment, Point, Polygon, and Angle. Suitable for high school mathematics education to help students intuitively understand the inscribed angle theorem and its applications.