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Chord Properties of a Circle 2

Chord Properties of a Circle 2
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2016-11-07 01:45
CircleTransformationGeometric Construction
In collections Circles
This example demonstrates the properties of chords in a circle. Key mathematical concepts include chords, central angles, and chord distances. Using commands like Intersect, Circle, Point, Segment, Distance, and Angle Bisector from the construction summary, it shows how to construct geometric figures in GeoGebra. Suitable for middle school and above students to learn geometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, B) → c
  3. Point(c) → C
  4. Segment(B, C) → a
  5. Point(c) → D
  6. Distance(B, C) → distanceBC
  7. Circle(D, a) → d
  8. Intersect(c, d, 1) → E
  9. Segment(D, E) → b
  10. Segment(D, A) → e
  11. Segment(A, C) → f
  12. Segment(A, B) → g
  13. Segment(A, E) → h
  14. Angle(D, A, E) → α
  15. Angle(B, A, C) → β
  16. Distance(D, E) → distanceDE
  17. Distance(C, B) → distanceCB
  18. LineBisector(C, B) → i
  19. LineBisector(D, E) → j
  20. Intersect(i, a) → F
  21. Intersect(j, b) → G
  22. Angle(A, G, E) → γ
  23. Angle(B, F, A) → δ
  24. Distance(B, F) → distanceBF
  25. Distance(C, F) → distanceCF
  26. Distance(D, G) → distanceDG
  27. Distance(E, G) → distanceEG
  28. Distance(A, F) → distanceAF
  29. Distance(A, G) → distanceAG
  30. Segment(A, F) → k
  31. Segment(A, G) → l