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Alternate Segment Theorem Demonstration

Alternate Segment Theorem Demonstration
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2019-04-02 23:15
CircleAngleTrigonometryCoordinate GeometryGeometric Construction
In collections Geometry workbook
This example demonstrates the property of angles between a chord and a tangent of a circle, where the angle is equal to the angle subtended by the arc on the opposite side. It involves core concepts like circle, angle, trigonometry, and coordinate geometry. Construction uses GeoGebra commands such as Circle, Point, Angle, Segment, Polar, and Line. Suitable for high school mathematics education to understand and apply the theorem.

GeoGebra Commands & Parameters

  1. Circle(Z, 4) → c
  2. Point(c) → A
  3. Point(c) → B
  4. Point(c) → C
  5. Point(c) → D
  6. Angle(B, A, C) → α
  7. Angle(A, B, C) → β
  8. Segment(B, A) → f
  9. Segment(A, C) → g
  10. Segment(C, B) → h
  11. Polar(C, c) → i
  12. Point(i) → E
  13. Point(i) → F
  14. Line(E, F) → j
  15. Point(i) → G
  16. Segment(C, G) → k
  17. Point(i) → H
  18. Segment(C, H) → l
  19. Angle(A, C, G) → γ
  20. Angle(B, C, H) → δ
  21. Point(l) → I
  22. Point(k) → J
  23. Line(I, J) → m