Trapezium Properties Investigation by karabarmaths

GeoGebra Commands & Parameters

1. Segment(A, D) → a
2. Line(C_1, a) → b
3. Point(b) → D_1
4. Segment(C_1, D_1) → c
5. Point(c) → E
6. Point(c) → F
7. Segment(C_1, E) → d
8. Segment(F, D_1) → e
9. Segment(E, F) → f
10. Point(d) → B
11. Point(e) → C
12. Polygon(A, B, C, D) → P, a_1, g, h, b_1
13. Angle(A, B, C) → α
14. Angle(D, A, B) → β
15. Angle(B, C, D) → γ
16. Angle(C, D, A) → δ
17. Segment(B, D) → i
18. Segment(C, A) → j
19. Intersect(i, j) → O
20. Segment(B, O) → k
21. Segment(O, D) → l
22. Segment(O, C) → m
23. Segment(O, A) → n
24. Angle(C, O, B) → ε
25. Midpoint(A, D) → G
26. Angle(O, B, C) → ζ
27. Segment(A_1, D_2) → a_2
28. Line(C_2, a_2) → b_2
29. Point(b_2) → D_3
30. Segment(C_2, D_3) → c_1
31. Point(c_1) → E_1
32. Point(c_1) → F_1
33. Segment(C_2, E_1) → d_1
34. Segment(F_1, D_3) → e_1
35. Segment(E_1, F_1) → f_1
36. Point(d_1) → B_1
37. Point(e_1) → C_3
38. Polygon(A_1, B_1, C_3, D_2) → P_1, a_3, g_1, h_1, b_3
39. Segment(B_1, D_2) → i_1
40. Segment(C_3, A_1) → j_1
41. Intersect(i_1, j_1) → O_1
42. Segment(B_1, O_1) → k_1
43. Segment(O_1, D_2) → l_1
44. Segment(O_1, C_3) → m_1
45. Segment(O_1, A_1) → n_1
46. Midpoint(A_1, D_2) → G_1
47. Angle(O, B, A) → ζ_1
48. Segment(A_2, D_4) → a_4
49. Line(C_4, a_4) → b_4
50. Point(b_4) → D_5
51. Segment(C_4, D_5) → c_2
52. Point(c_2) → E_2
53. Point(c_2) → F_2
54. Segment(C_4, E_2) → d_2
55. Segment(F_2, D_5) → e_2
56. Segment(E_2, F_2) → f_2
57. Point(d_2) → B_2
58. Point(e_2) → C_5
59. Polygon(A_2, B_2, C_5, D_4) → P_2, a_5, g_2, h_2, b_5
60. Segment(B_2, D_4) → i_2
61. Segment(C_5, A_2) → j_2
62. Intersect(i_2, j_2) → O_2
63. Segment(B_2, O_2) → k_2
64. Segment(O_2, D_4) → l_2
65. Segment(O_2, C_5) → m_2
66. Segment(O_2, A_2) → n_2
67. Midpoint(A_2, D_4) → G_2
68. Segment(A_3, D_6) → a_6
69. Line(C_6, a_6) → b_6
70. Point(b_6) → D_7
71. Segment(C_6, D_7) → c_3
72. Point(c_3) → E_3
73. Point(c_3) → F_3
74. Segment(C_6, E_3) → d_3
75. Segment(F_3, D_7) → e_3
76. Segment(E_3, F_3) → f_3
77. Point(d_3) → B_3
78. Point(e_3) → C_7
79. Polygon(A_3, B_3, C_7, D_6) → P_3, a_7, g_3, h_3, b_7
80. Segment(B_3, D_6) → i_3
81. Segment(C_7, A_3) → j_3
82. Intersect(i_3, j_3) → O_3
83. Segment(B_3, O_3) → k_3
84. Segment(O_3, D_6) → l_3
85. Segment(O_3, C_7) → m_3
86. Segment(O_3, A_3) → n_3
87. Midpoint(A_3, D_6) → G_3
88. Segment(A_4, D_8) → a_8
89. Line(C_8, a_8) → b_8
90. Point(b_8) → D_9
91. Segment(C_8, D_9) → c_4
92. Point(c_4) → E_4
93. Point(c_4) → F_4
94. Segment(C_8, E_4) → d_4
95. Segment(F_4, D_9) → e_4
96. Segment(E_4, F_4) → f_4
97. Point(d_4) → B_4
98. Point(e_4) → C_9
99. Polygon(A_4, B_4, C_9, D_8) → P_4, a_9, g_4, h_4, b_9
100. Segment(B_4, D_8) → i_4
101. Segment(C_9, A_4) → j_4
102. Intersect(i_4, j_4) → O_4
103. Segment(B_4, O_4) → k_4
104. Segment(O_4, D_8) → l_4
105. Segment(O_4, C_9) → m_4
106. Segment(O_4, A_4) → n_4
107. Midpoint(A_4, D_8) → G_4
108. Angle(B, A, C) → η
109. Angle(C, A, D) → θ