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Circle Theorems Demonstration

Circle Theorems Demonstration
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2020-03-06 09:54
CircleAngleGeometric Construction
In collections Strand 2: Geometry and Trigonometry
This example demonstrates circle theorems in geometry, involving concepts like circles, tangents, angles, intersecting lines, and orthogonal lines. It is constructed using GeoGebra commands such as Circle, Point, Segment, OrthogonalLine, Angle, Intersect, and Line, making it suitable for high school students and teachers learning geometry.

GeoGebra Commands & Parameters

  1. Circle(A, 3) → c
  2. Point(c) → B
  3. Point(c) → C
  4. Segment(C, A) → a
  5. OrthogonalLine(C, a) → b
  6. Segment(A, B) → d
  7. Segment(C, B) → e
  8. Point(c) → D
  9. Segment(C, D) → f
  10. Segment(B, D) → g
  11. Point(c) → E
  12. Segment(C, E) → h
  13. Segment(E, B) → i
  14. Point(b) → F
  15. Angle(C, D, B) → β
  16. Angle(F, C, B) → α
  17. Angle(C, A, B) → γ
  18. Angle(C, E, B) → δ
  19. Angle(E, C, D) → ε
  20. Angle(E, B, D) → ζ
  21. OrthogonalLine(A, e) → k
  22. Intersect(k, e) → G
  23. Segment(A, G) → l
  24. Segment(C, G) → m
  25. Segment(G, B) → n
  26. Angle(C, G, A) → η
  27. Angle(F, C, A) → θ
  28. Line(B, A) → p
  29. Intersect(c, p) → H, I
  30. Segment(B, I) → q
  31. Segment(I, D) → r
  32. Angle(I, B, H) → ι
  33. Angle(I, D, B) → κ