Properties of Trapezoids

GeoGebra Commands & Parameters

1. Segment(A, B) → a
2. LineBisector(a) → b
3. Intersect(b, a) → C_1
4. Segment(A, D) → c
5. Mirror(D, b) → C
6. Segment(C, B) → d
7. Segment(C, D) → e
8. Angle(B, A, D) → α
9. Angle(A, D, C) → β
10. Angle(D, C, B) → γ
11. Angle(C, B, A) → δ
12. Distance(A, D) → distanceAD
13. Distance(D, C) → distanceDD'
14. Distance(C, B) → distanceD'B
15. Distance(B, A) → distanceBA
16. Segment(A, C) → i
17. Segment(B, D) → j
18. Intersect(i, j) → E_1
19. Angle(E_1, A, D) → ε
20. Angle(A, D, E_1) → ζ
21. Angle(E_1, D, C) → η
22. Angle(D, C, E_1) → θ
23. Angle(E_1, C, B) → ι
24. Angle(C, B, E_1) → κ
25. Angle(E_1, B, A) → λ
26. Angle(B, A, E_1) → μ
27. Distance(A, E_1) → distanceAE
28. Distance(E_1, C) → distanceED'
29. Distance(B, E_1) → distanceBE
30. Distance(E_1, D) → distanceED
31. Distance(A, C) → distanceAD'
32. Distance(D, B) → distanceDB
33. Line(F, G) → p
34. Line(H, I) → q
35. OrthogonalLine(H, q) → r
36. OrthogonalLine(I, q) → s
37. Point(q) → J
38. Circle(H, J) → t
39. Intersect(t, r, 2) → K
40. CircleArc(H, J, K) → c_1
41. Point(c_1) → L
42. Line(L, q) → a_1
43. Intersect(a_1, s) → M
44. Segment(L, M) → b_1
45. Point(b_1) → N
46. Segment(H, L) → d_1
47. Segment(L, N) → e_1
48. Segment(N, I) → f_1
49. Segment(H, I) → g_1
50. Angle(N, I, H) → ν
51. Angle(I, H, L) → ξ
52. Angle(H, L, N) → ο
53. Angle(L, N, I) → ρ
54. Distance(H, L) → distanceHL
55. Distance(L, N) → distanceLN
56. Distance(N, I) → distanceNI
57. Distance(I, H) → distanceIH
58. Segment(L, I) → h_1
59. Segment(N, H) → i_1
60. Intersect(h_1, i_1) → O
61. Distance(L, O) → distanceLO
62. Distance(O, N) → distanceON
63. Distance(O, I) → distanceOI
64. Distance(O, H) → distanceOH
65. Distance(L, I) → distanceLI
66. Distance(N, H) → distanceNH
67. Angle(L, O, H) → δ_1
68. Angle(N, O, L) → ε_1
69. Angle(B, E_1, A) → ζ_1
70. Angle(B, E_1, C) → η_1
71. Segment(A, C) → p_1
72. Segment(D, B) → q_1
73. Intersect(p_1, q_1) → E
74. Segment(D, E) → r_1
75. Segment(C, E) → s_1
76. Segment(A, E) → t_1
77. Segment(B, E) → f_2
78. Segment(L, O) → l
79. Segment(N, O) → n
80. Segment(H, O) → j_1
81. Segment(I, O) → g_2
82. Segment(H, N) → h_2
83. Segment(L, I) → i_2
84. Intersect(h_2, i_2) → P
85. Angle(P, L, N) → σ
86. Angle(L, N, P) → τ
87. Angle(P, N, I) → υ
88. Angle(N, I, P) → ϕ
89. Angle(P, I, H) → χ
90. Angle(I, H, P) → ψ
91. Angle(P, H, L) → ω
92. Angle(H, L, P) → α_1