Tangent Line and Radius Perpendicularity

Tangent Line and Radius Perpendicularity
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2012-07-19 23:57
This example demonstrates the geometric property that a tangent line to a circle is perpendicular to the radius drawn to the point of tangency. It involves core math concepts like tangent line, radius, and perpendicularity. The construction uses GeoGebra commands: Circle, Point, Segment, OrthogonalLine, and Angle. Suitable for middle school and above students learning circle geometry or for geometric construction instruction.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Segment(A, C) → a
  4. OrthogonalLine(C, a) → b
  5. Point(b) → D
  6. Angle(A, C, D) → α