Constructing Parallelograms by Melissa Patti

GeoGebra Commands & Parameters

1. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
2. Segment(E, F) → e
3. OrthogonalLine(E, e) → f
4. OrthogonalLine(F, e) → g
5. Point(f) → G
6. Point(g) → H
7. OrthogonalLine(G, f) → h
8. OrthogonalLine(H, h) → i
9. Intersect(g, h) → I
10. Polygon(E, G, I, F) → poly2, e_1, g_1, i_1, f_1
11. Segment(J, K) → j
12. Segment(L, M) → k
13. Line(N, k) → l
14. Line(M, k) → m
15. Segment(L, N) → n
16. Line(M, n) → p
17. Intersect(l, p) → O
18. Polygon(M, L, N, O) → poly3, m_1, l_1, n_1, o
19. Segment(J, P) → q
20. Segment(K, Q) → r
21. Segment(P, Q) → s
22. Polygon(J, K, Q, P) → poly4, j_1, k_1, q_1, p_1
23. Segment(R, S) → t
24. Rotate(R, 40*°, R) → R'
25. Rotate(S, 40*°, R) → S'
26. Segment(R', S') → t'
27. Rotate(R', 140*°, S') → R''
28. Rotate(S', 140*°, S') → S''
29. Segment(R'', S'') → t''
30. Segment(S, R'') → a_1
31. Polygon(R, S, R'', S') → poly5, r_1, s_1, r'', s'
32. Segment(T, U) → b_1
33. LineBisector(b_1) → c_1
34. Point(c_1) → V
35. Segment(T, V) → d_1
36. Line(U, d_1) → h_1
37. Segment(V, U) → t_1
38. Line(T, t_1) → a_2
39. Intersect(c_1, h_1) → W
40. Polygon(T, W, U, V) → poly6, t_2, w, u, v
41. Angle(B, A, D) → α
42. Angle(A, D, C) → β
43. Angle(D, C, B) → γ
44. Angle(C, B, A) → δ
45. Distance(A, C) → distanceAC
46. Segment(A, C) → b_2
47. Segment(D, B) → c_2
48. Distance(D, B) → distanceDB
49. Angle(F, E, G) → ε
50. Angle(E, G, I) → ζ
51. Angle(G, I, F) → η
52. Angle(I, F, E) → θ
53. Segment(E, I) → d_2
54. Segment(G, F) → e_2
55. Distance(E, I) → distanceEI
56. Distance(G, F) → distanceGF
57. Angle(V, T, W) → ι
58. Angle(T, W, U) → κ
59. Angle(W, U, V) → λ
60. Angle(U, V, T) → μ
61. Segment(T, U) → f_2
62. Segment(V, W) → g_2
63. Distance(T, U) → distanceTU
64. Distance(W, V) → distanceWV
65. Distance(V, U) → distanceVU
66. Distance(U, W) → distanceUW
67. Intersect(f_2, g_2) → Z
68. Distance(T, Z) → distanceTZ
69. Distance(Z, U) → distanceZU
70. Distance(V, Z) → distanceVZ
71. Distance(Z, W) → distanceZW
72. Intersect(d_2, e_2) → A_1
73. Distance(E, A_1) → distanceEA1
74. Distance(A_1, G) → distanceA1G
75. Distance(A_1, I) → distanceA1I
76. Distance(A_1, F) → distanceA1F
77. Intersect(b_2, c_2) → B_1
78. Distance(A, B_1) → distanceAB1
79. Distance(B_1, C) → distanceB1C
80. Distance(B_1, B) → distanceB1B
81. Distance(B_1, D) → distanceB1D
82. Angle(M, L, N) → ν
83. Angle(L, N, O) → ξ
84. Angle(N, O, M) → ο
85. Angle(O, M, L) → ρ
86. Segment(L, O) → h_2
87. Segment(N, M) → i_2
88. Intersect(h_2, i_2) → C_1
89. Distance(L, C_1) → distanceLC1
90. Distance(C_1, O) → distanceC1O
91. Distance(C_1, M) → distanceC1M
92. Distance(C_1, N) → distanceC1N
93. Distance(M, O) → distanceMO
94. Distance(O, N) → distanceON
95. Distance(E, G) → distanceEG
96. Distance(G, I) → distanceGI