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Kite Investigation

Kite Investigation
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2018-03-09 20:34
PolygonAngleGeometric Construction
This example demonstrates the geometric properties and construction methods of a kite. It involves core math concepts like polygons, angles, symmetry, and geometric construction. The construction uses commands such as Circle, Intersect, Segment, Midpoint, Angle, Polygon, and Mirror from GeoGebra. Suitable for middle school and above students to visually understand kite geometry, aiding teaching or self-learning.

GeoGebra Commands & Parameters

  1. Circle(A, B_1) → c
  2. Circle(C, D_1) → d
  3. Intersect(c, d, 1) → D
  4. Intersect(c, d, 2) → B
  5. Segment(D, C) → a
  6. Segment(C, B) → b
  7. Segment(D, A) → e
  8. Segment(A, B) → f
  9. Midpoint(B, D) → E
  10. Segment(B, E) → g
  11. Segment(E, D) → h
  12. Segment(E, A) → i
  13. Segment(E, C) → j
  14. Angle(C, B, E) → α
  15. Angle(E, B, A) → β
  16. Angle(B, A, E) → γ
  17. Angle(E, A, D) → δ
  18. Angle(A, D, E) → ε
  19. Angle(E, D, C) → ζ
  20. Angle(D, C, E) → η
  21. Angle(E, C, B) → θ
  22. Angle(D, E, A) → ι
  23. Angle(B, A, D) → κ
  24. Angle(C, B, A) → λ
  25. Angle(A, D, C) → μ
  26. Angle(D, C, B) → ν
  27. Polygon(A, B, C) → poly1, c_1, a_1, b_1
  28. Mirror(A, i) → A'
  29. Mirror(B, i) → B'
  30. Mirror(C, i) → C'
  31. Polygon(A', B', C') → poly1', c', a', b'
  32. Polygon(A, B, D) → poly2, d_1, a_2, b_2
  33. Mirror(A, g) → A'_1
  34. Mirror(B, g) → B'_1
  35. Mirror(D, g) → D'
  36. Polygon(A'_1, B'_1, D') → poly2', d', a'_1, b'_1