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Kite Problem

Kite Problem
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2017-05-30 06:45
PolygonInequalityGeometric Construction
This example demonstrates the properties of a kite, involving integers, symmetry, and inequalities. Using GeoGebra commands such as Point, Line, and OrthogonalLine, one can construct a kite and explore its geometric properties. Suitable for middle school and above students to learn geometric construction and inequality applications.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Line(A, B) → f
  3. OrthogonalLine(B, f) → i
  4. Mirror(A, i) → A'_1
  5. OrthogonalLine(A, f) → g
  6. Mirror(B, g) → B'_1
  7. Point(g) → C
  8. Line(C, f) → h
  9. Intersect(h, i) → D
  10. Polygon(A, B, D, C) → poly1, a, b, d, c
  11. Mirror(B, h) → B'
  12. Mirror(A, h) → A'
  13. Line(A', B') → j
  14. Mirror(D, j) → D'
  15. Mirror(D', g) → D''
  16. Line(B'_1, D'') → l
  17. Intersect(h, l) → H
  18. Midpoint(B'_1, H) → K
  19. OrthogonalLine(K, c) → t_1
  20. Mirror(C, j) → C'
  21. Mirror(C', i) → C''
  22. Line(A'_1, C'') → m
  23. Intersect(h, m) → E
  24. Segment(A'_1, E) → n
  25. Point(m) → I
  26. Ray(C'', I) → t
  27. Point(l) → J
  28. Ray(D'', J) → s
  29. Point(s) → Q
  30. OrthogonalLine(Q, g) → f_2
  31. Polygon(C, D, B', A') → poly2, c_1, d_1, b', a'
  32. Intersect(j, l) → G
  33. Segment(H, G) → r
  34. Point(r) → O
  35. OrthogonalLine(O, a') → e_1
  36. Line(C', D') → k
  37. Intersect(j, m) → F
  38. Segment(E, F) → p
  39. Segment(B'_1, H) → q
  40. Polygon(B', D', C', A') → poly3, b'_1, d', c', a'_1
  41. Midpoint(H, G) → M
  42. Midpoint(E, F) → N
  43. Segment(M, G) → e
  44. Segment(N, F) → f_1
  45. Intersect(n, t_1) → L
  46. Intersect(e_1, f_1) → P
  47. Intersect(t, f_2) → R
  48. Intersect(g, t_1) → S
  49. Intersect(t_1, b) → T
  50. Point(e_1) → U
  51. Intersect(g, e_1) → V
  52. Intersect(g, f_2) → W
  53. Intersect(i, f_2) → Z
  54. Segment(S, K) → g_2
  55. Segment(T, L) → h_2
  56. Segment(O, V) → i_2
  57. Segment(U, P) → j_2
  58. Segment(Q, W) → m_2
  59. Segment(Z, R) → n_2
  60. Segment(B'_1, K) → s_2
  61. Segment(K, H) → t_2
  62. Segment(A'_1, L) → a_2
  63. Segment(L, E) → b_2
  64. Polygon(A, K, C) → poly4, c_2, a_1, k_1
  65. Polygon(C, O, A') → poly5, a'_2, c_3, o
  66. Polygon(A', Q, C') → poly6, c'_1, a'_3, q_1
  67. Polygon(B, L, D) → poly7, d_2, b_1, l_1
  68. Polygon(D, P, B') → poly8, b'_2, d_3, p_1
  69. Polygon(B', R, D') → poly9, d'_1, b'_3, r_1