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Kite Presentation

Kite Presentation
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2017-09-13 06:09
PolygonFunctionCoordinate GeometryGeometric Construction
This example demonstrates the geometric construction of a kite and its related properties. It involves core mathematical concepts such as polygons, symmetry, coordinate geometry, and function graphs. The construction uses commands like Line, OrthogonalLine, Circle, Intersect, Segment, and Point in GeoGebra. Suitable for high school mathematics teaching or geometric construction learning.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. OrthogonalLine(B, f) → g
  3. Circle(B, C) → c
  4. Intersect(c, g, 1) → D
  5. Segment(A, D) → h
  6. Intersect(c, g, 2) → E
  7. Segment(A, E) → i
  8. Intersect(c, f, 2) → F
  9. Segment(D, F) → j
  10. Segment(F, E) → k
  11. Line(G, H) → l
  12. OrthogonalLine(G, l) → m
  13. Circle(G, I) → d
  14. Point(l) → J
  15. Intersect(d, m, 2) → K
  16. Intersect(d, l, 1) → L
  17. Intersect(d, m, 1) → M
  18. Segment(J, K) → n
  19. Segment(L, K) → p
  20. Segment(L, M) → q
  21. Segment(J, M) → r
  22. Line(N, O) → s
  23. Point(s) → P
  24. OrthogonalLine(P, s) → t
  25. Point(t) → Q
  26. Circle(P, Q) → e
  27. Segment(N, Q) → a
  28. Intersect(e, t, 2) → R
  29. Segment(N, R) → b
  30. Segment(R, O) → f_1
  31. Segment(O, Q) → g_1
  32. Line(S, T) → h_1
  33. Point(h_1) → V
  34. OrthogonalLine(V, h_1) → i_1
  35. Point(i_1) → W
  36. Circle(V, W) → c_1
  37. Segment(T, W) → j_1
  38. Intersect(c_1, i_1, 2) → Z
  39. Segment(T, Z) → k_1
  40. Segment(S, W) → l_1
  41. Segment(S, Z) → m_1
  42. Line(A_1, B_1) → n_1
  43. Point(n_1) → C_1
  44. OrthogonalLine(C_1, n_1) → p_1
  45. OrthogonalLine(B_1, n_1) → q_1
  46. Point(q_1) → D_1
  47. Circle(B_1, D_1) → d_1
  48. Segment(D_1, A_1) → r_1
  49. Point(d_1) → E_1
  50. Segment(A_1, E_1) → s_1
  51. Segment(E_1, C_1) → t_1
  52. Segment(C_1, D_1) → a_1