Angles on the Same Arc
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Circle Theorems
This example demonstrates the property that angles subtended by the same arc in a circle are equal. It involves core math concepts like the Circle Theorem, angles, and circle properties. Constructed using GeoGebra commands: Circle, Point, CircleArc, Segment, Angle. Suitable for middle school and above students learning circle theorems, geometric constructions, and theorem verification.
GeoGebra Commands & Parameters
Circle(A, 4) → c_1Point(c_1) → EPoint(c_1) → BCircleArc(A, E, B) → gPoint(g) → DPoint(g) → CSegment(B, C) → aSegment(E, C) → bSegment(B, D) → cSegment(E, D) → dCircleArc(A, B, E) → a_1Angle(B, C, E) → αAngle(B, D, E) → βSegment(B, A) → eSegment(E, A) → fAngle(B, A, E) → γ