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Properties of a Kite by Roxana Kim

Properties of a Kite by Roxana Kim
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2017-01-09 07:48
PolygonAngleGeometric Construction
In collections Exploring the Properties of Quadrilaterals
This example demonstrates the geometric properties of a kite, involving core math concepts like polygons, angles, and distances. It is constructed using GeoGebra commands such as Circle, Intersect, Polygon, Distance, Segment, and Angle, making it suitable for middle school and above students to explore and verify kite properties.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Circle(C, B) → d
  3. Intersect(c, d, 2) → D
  4. Polygon(A, B, C, D) → poly1, a, b, c_1, d_1
  5. Distance(A, B) → distanceAB
  6. Distance(A, D) → distanceAD
  7. Distance(D, C) → distanceDC
  8. Distance(B, C) → distanceBC
  9. Segment(A, C) → f
  10. Segment(D, B) → g
  11. Intersect(f, g) → E
  12. Distance(A, C) → distanceAC
  13. Distance(D, B) → distanceDB
  14. Distance(A, E) → distanceAE
  15. Distance(C, E) → distanceCE
  16. Distance(D, E) → distanceDE
  17. Distance(B, E) → distanceBE
  18. Segment(A, C) → i
  19. Segment(D, B) → j
  20. Intersect(i, j) → F
  21. Angle(D, A, F) → α
  22. Angle(F, A, B) → β
  23. Angle(A, B, F) → γ
  24. Angle(F, B, C) → δ
  25. Angle(B, C, F) → ε
  26. Angle(F, C, D) → ζ
  27. Angle(C, D, F) → η
  28. Angle(F, D, A) → θ
  29. Angle(A, F, B) → ι
  30. Angle(D, A, B) → κ
  31. Angle(B, C, D) → λ
  32. Angle(A, D, C) → μ
  33. Angle(A, B, C) → ν