Kite Exploration

GeoGebra Commands & Parameters

1. Segment(A, B) → a
2. Midpoint(a) → C
3. OrthogonalLine(C, a) → b
4. Point(b) → E
5. Point(b) → G_1
6. Ray(E, G_1) → h_2
7. Point(h_2) → D
8. Segment(C, D) → i
9. Circle(D, (0.3 * i)) → q
10. Intersect(q, h_2, 1) → H_1
11. Segment(A, D) → c
12. Intersect(q, c, 1) → K
13. Segment(D, B) → d
14. Segment(B, E) → e
15. Segment(E, A) → f
16. Segment(A, C) → g
17. Circle(A, (0.3 * g)) → h
18. Circle(B, (0.3 * g)) → k
19. Segment(C, E) → j
20. Circle(E, (0.3 * j)) → p
21. Circle(C, (0.3 * g)) → r
22. Intersect(h, f, 1) → F
23. Intersect(h, c, 1) → G
24. Intersect(k, e, 1) → H
25. Intersect(k, d, 1) → I
26. Intersect(q, d, 1) → J
27. Intersect(p, e, 1) → L
28. Intersect(b, j) → M
29. Intersect(b, j) → N
30. Intersect(b, j) → O
31. Intersect(b, j) → P
32. Intersect(b, j) → Q
33. Intersect(p, b, 2) → R
34. Intersect(b, i) → S
35. Intersect(q, b, 1) → T
36. Intersect(p, f, 1) → U
37. CircleSector(B, I, H) → s
38. Angle(A, D, B) → α
39. Angle(U, E, L) → β
40. CircleSector(B, H, I) → t
41. Dilate(D, If[0 < l ≤ 1, 1 - l, 0], A) → D'
42. Segment(D, D') → m
43. Rotate(D, If[1 < l ≤ 2, ((l - 1) * α), α], D) → D'_1
44. Rotate(D', If[1 < l ≤ 2, ((l - 1) * α), α], D) → D''
45. Segment(D'_1, D'') → m'
46. Dilate(A, If[2 < l ≤ 3, 3 - l, 0], E) → A'
47. Segment(A, A') → n
48. Rotate(A, If[3 < l ≤ 4, ((-(l - 3)) * ((2 * π) - β)), (-((2 * π) - β))], E) → A'_1
49. Rotate(A', If[3 < l ≤ 4, ((-(l - 3)) * ((2 * π) - β)), (-((2 * π) - β))], E) → A''
50. Segment(A'_1, A'') → n'
51. Polygon(E, B, D, A) → poly1, e_1, b_1, d_1, a_1
52. CircleSector(E, L, R) → f_1
53. Dilate(D, If[4 < l ≤ 5, 5 - l, 0], E) → D'_2
54. Segment(D, D'_2) → g_1
55. Dilate(B, If[5 < l ≤ 6, 6 - l, 0], A) → B'
56. Vector(B, B') → u
57. Translate(s, u) → s'
58. Line(A, e) → h_1
59. Intersect(h, h_1, 2) → V
60. Intersect(h, g, 1) → W
61. Angle(V, A, G) → γ
62. Rotate(s', If[6 < l ≤ 7, ((l - 6) * γ), γ], A) → s''
63. CircleSector(D, K, H_1) → c_1
64. Rotate(f_1, If[8 < l ≤ 9, ((l - 8) * ((2 * π) - β) / 2), ((2 * π) - β) / 2], E) → p_1
65. Dilate(A, If[9 < l ≤ 10, 10 - l, 0], C) → A'_2
66. Segment(A, A'_2) → i_1
67. Dilate(C, If[10 < l ≤ 11, 11 - l, 0], B) → D'_3
68. Segment(C, D'_3) → j_1
69. Segment(B, C) → l_1
70. Intersect(k, l_1, 1) → Z
71. CircleSector(B, I, Z) → q_1
72. CircleSector(A, F, W) → r_1
73. Rotate(C, If[11.5 < l ≤ 12.5, ((l - 11.5) * π), 3.141592653589793], C) → C'
74. Rotate(D'_3, If[11.5 < l ≤ 12.5, ((l - 11.5) * π), 3.141592653589793], C) → A_1
75. Segment(C', A_1) → m_1
76. Dilate(A, If[12.5 < l ≤ 13.5, 13.5 - l, 0], B) → A'_3
77. Vector(A, A'_3) → v
78. Translate(r_1, v) → s_1
79. Line(B, n) → n_1
80. Point(n_1) → B_1
81. Ray(B, B_1) → t_1
82. Point(t_1) → C_1
83. Angle(H, B, C_1) → δ
84. Angle(Z, B, H) → ε
85. Rotate(s_1, If[13.5 < l ≤ 14.5, ((-(l - 13.5)) * (ε + δ)), (-(ε + δ))], B) → c_2
86. Dilate(B, If[14.5 < l ≤ 15.5, 15.5 - l, 0], A) → B'_1
87. Vector(B, B'_1) → w
88. Translate(q_1, w) → d_2
89. Translate(I, w) → I'
90. Angle(G, A, I') → ζ
91. Angle(D, B, C) → η
92. Rotate(d_2, If[15.5 < l ≤ 16.5, ((-(l - 15.5)) * (ζ + η)), (-(ζ + η))], A) → e_2
93. Midpoint(A, B) → D_1
94. Segment(D, E) → a_2
95. Segment(A, B) → b_2
96. Intersect(r, a_2, 2) → E_1
97. Intersect(r, b_2, 2) → F_1
98. CircleSector(C, E_1, F_1) → f_2
99. Rotate(f_2, If[16.5 < l ≤ 17.5, ((-(l - 16.5)) * π / 2), -1.5707963267948966], D_1) → g_2
100. Rotate(c_1, If[7 < l ≤ 8, ((l - 7) * α / 2), α / 2], D) → k_1