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Kite Angles Demonstration

Kite Angles Demonstration
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2018-02-26 17:40
PolygonAngleTrigonometryGeometric Construction
In collections Folding paper, doing geometry figures
This example demonstrates the angle relationships and properties of a kite quadrilateral. It involves core mathematical concepts such as perpendicular diagonals, supplementary adjacent angles, and congruent triangles. Construction highlights include using commands like Polygon, Point, Segment, CircleArc, Rotate, and Angle to draw the kite and verify its properties through rotation and angle measurement. Suitable for high school geometry education to visually understand kite characteristics.

GeoGebra Commands & Parameters

  1. Polygon(A, C, D, B) → vierhoek1, a, c, d, b
  2. Point(yAxis) → P
  3. Segment(B, E) → f
  4. CircleArc(B, DD, D) → e
  5. Polygon(B, E, D) → driehoek1, d_1, b_2, e_2
  6. Polygon(B, DD, E) → driehoek2, e_3, b_3, dd
  7. Segment(E, C) → g
  8. Segment(B, E) → h
  9. Segment(F, E) → i
  10. CircleArc(E, FF, C) → k
  11. Polygon(DD, A, F, E) → vierhoek3, dd_1, a_2, f_1, e_4
  12. Polygon(F, C, E) → driehoek3, e_5, f_2, c_2
  13. Rotate(F, (((-(s - 3)) * 180))°, f_1) → F'
  14. Rotate(C, (((-(s - 3)) * 180))°, f_1) → C'
  15. Rotate(E, (((-(s - 3)) * 180))°, f_1) → E'_1
  16. Polygon(F', C', E'_1) → driehoek3', e'_1, f', c'
  17. Polygon(B, DD, E) → driehoek4, e_6, b_4, dd_2
  18. Polygon(F, E, DDE) → driehoek5, dde, f_3, e_7
  19. Angle(A, B, E) → α
  20. Angle(B, E, DD) → β
  21. Angle(E, DD, B) → γ
  22. Angle(F, DDE, E) → δ
  23. Angle(E, F, DDE) → ε
  24. Angle(DDE, E, F) → ζ
  25. Angle(C, A, B) → η
  26. Angle(DDE, F, A) → θ
  27. Angle(DD, DDE, F) → ι
  28. Angle(A, DD, DDE) → κ
  29. Angle(C, A, B) → λ
  30. Angle(E, F, A) → μ
  31. Angle(B, E, F) → ν
  32. Angle(A, B, E) → ξ
  33. Polygon(A, C, E, B) → vierhoek2, a_1, c_1, e_1, b_1