Equal and Perpendicular Tangents
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This example demonstrates that tangents are of equal length and always perpendicular to radii by moving points. Key mathematical concepts include the properties of tangents to a circle and angle relationships. It uses GeoGebra commands such as Intersect, Tangent, Segment, and Angle. Suitable for middle school and above students to learn about circle properties and geometric constructions.
GeoGebra Commands & Parameters
Intersect(xAxis, yAxis) → OTangent(A, c) → f, gIntersect(c, f, 1) → BIntersect(c, g, 1) → CSegment(O, B) → rSegment(O, C) → r_1Angle(O, B, A) → αAngle(A, C, O) → βSegment(A, B) → hSegment(B, A) → iSegment(A, C) → j