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Kite Measurement Relationships

Kite Measurement Relationships
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2015-03-19 21:34
PolygonAngleGeometric Construction
In collections Quadrilateral Investigation
This example demonstrates the relationships between sides, angles, and diagonals in a kite. Key math concepts include congruent sides, angle bisectors, distance measurement, and angle calculation. GeoGebra commands and objects used in construction are Segment, LineBisector, Point, Intersect, Distance, Angle, and Polygon. Suitable for high school geometry learning and mathematical exploration activities.

GeoGebra Commands & Parameters

  1. Segment(A, C) → a
  2. LineBisector(A, C) → b
  3. Point(b) → B
  4. Point(b) → D
  5. Segment(A, B) → c
  6. Segment(B, C) → d
  7. Segment(A, D) → e
  8. Segment(C, D) → f
  9. Segment(B, D) → g
  10. Segment(A, C) → h
  11. Intersect(g, h) → E
  12. Distance(A, B) → distanceAB
  13. Distance(B, C) → distanceBC
  14. Distance(C, D) → distanceCD
  15. Distance(D, A) → distanceDA
  16. Distance(A, C) → distanceAC
  17. Distance(B, A) → distanceBA
  18. Distance(A, E) → distanceAE
  19. Distance(C, E) → distanceCE
  20. Distance(B, E) → distanceBE
  21. Distance(D, E) → distanceDE
  22. Distance(B, D) → distanceBD
  23. Angle(D, A, B) → α
  24. Angle(A, B, C) → β
  25. Angle(B, C, D) → γ
  26. Angle(C, D, A) → δ
  27. Angle(E, A, B) → ε
  28. Angle(A, B, E) → ζ
  29. Angle(E, B, C) → η
  30. Angle(B, C, E) → θ
  31. Angle(E, C, D) → ι
  32. Angle(C, D, E) → κ
  33. Angle(E, D, A) → λ
  34. Angle(D, A, E) → μ
  35. Angle(B, E, A) → ν
  36. Angle(C, E, B) → ξ
  37. Angle(D, E, C) → ο
  38. Angle(A, E, D) → ρ
  39. Polygon(A, B, C, D) → poly1, a_1, b_1, c_1, d_1