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Property of Circle: Chord and Tangent Intersection

Property of Circle: Chord and Tangent Intersection
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2012-05-30 16:45
CircleCoordinate GeometryGeometric Construction
This example demonstrates the relationship between the length of a chord and its extension to the point of intersection with a tangent line when they intersect externally. Key mathematical concepts include circle, chord, tangent, and proportion. The construction uses GeoGebra commands such as Circle, Tangent, Point, Ray, Intersect, Segment, Distance, etc. Suitable for middle school and above students to learn geometric construction and related theorems.

GeoGebra Commands & Parameters

  1. Circle(A, T) → c
  2. Tangent(T, c) → a,
  3. Point(a) → P
  4. Point(c) → D
  5. Ray(P, D) → b
  6. Intersect(c, b) → E_1, C
  7. Segment(C, D) → d
  8. Segment(D, P) → e
  9. Distance(P, C) → distanceCE
  10. Distance(D, C) → distanceDE
  11. Circumference(c) → circumferencec
  12. Distance(D, C) → f
  13. Distance(T, P) → distanceBC
  14. Distance(D, P) → distanceDP