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Kite Geometry and Vector Demo

Kite Geometry and Vector Demo
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2015-10-29 09:02
VectorTrigonometryCalculusInequalityGeometric Construction
This example dynamically demonstrates the symmetry and vector relationships of a kite shape, revealing its geometric properties. It involves core math concepts like symmetry, vectors, inequalities, indefinite integral, and rotation. Construction highlights include segment, angle bisector, point, polygon, intersection, and angle commands/objects in GeoGebra. Suitable for high school mathematics teaching to understand geometric transformations and vector applications.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. LineBisector(a) → b
  3. Point(b) → C
  4. Segment(A, C) → c
  5. Segment(B, C) → d
  6. Point(b) → D
  7. Segment(A, D) → e
  8. Segment(B, D) → f
  9. Polygon(A, C, B, D) → poly1, a_1, c_1, b_1, d_1
  10. Segment(C, D) → g
  11. Intersect(a, g) → E
  12. Angle(A, C, E) → α
  13. Angle(E, C, B) → β
  14. Angle(C, E, B) → γ
  15. Angle(C, B, E) → δ
  16. Angle(E, B, D) → ε
  17. Angle(D, E, B) → ζ
  18. Angle(D, E, A) → η
  19. Angle(C, E, A) → θ
  20. Angle(C, A, E) → ι
  21. Angle(E, A, D) → κ
  22. Angle(A, D, E) → λ
  23. Angle(E, D, B) → μ