Dynamic Demonstration of Inscribed Angles and Their Properties

① This GeoGebra example provides an interactive visualization of inscribed angles, demonstrating that angles subtending the same arc are equal and that an inscribed angle is half the central angle. ② Core mathematical concepts include the inscribed angle theorem, central angles, arcs, chords, tangents, and intersecting lines, with emphasis on angle measurement and geometric reasoning. ③ Construction details: using GeoGebra commands such as Circle, Point, Segment, CircleArc, Angle, Line, Tangent, and Intersect, the construction includes a circle, points, segments, arcs, angles, lines, tangents, and intersection points, with multiple angle variables (α, β, γ, δ, ε, ζ, η) and a text label (text1) to dynamically display angle relationships. ④ Suitable for middle and high school geometry classes, particularly for teaching circle properties in grades 9-12, as a classroom demonstration or for student-led exploration of the inscribed angle theorem.