Dynamic Demonstration of Inscribed and Central Angles in a Circle

This GeoGebra example dynamically illustrates the relationship between inscribed and central angles subtending the same arc in a circle. It visually demonstrates the fundamental theorem that a central angle is twice the measure of an inscribed angle intercepting the same arc, and explores how both angles change as points move along the circumference. The construction employs basic GeoGebra commands—Circle, Point, Segment, Angle—along with key objects such as points A₁, B₁, C, and angles α, β, to create an interactive model. It is suitable for middle and high school geometry classes, serving as a visual aid for theorem understanding, dynamic proof, and student-led exploration of angle properties in circular geometry.