Easy Area of Parallelogram Discovery

GeoGebra Commands & Parameters

1. Line(A, B) → f_1
2. Line(A, B) → b
3. Slope(b) → m
4. PointIn(d) → C
5. Segment(A, B) → a
6. Line(C, a) → f
7. OrthogonalLine(B, f) → n
8. Intersect(f, n) → H
9. Segment(C, H) → l
10. Point(l) → I
11. OrthogonalLine(I, l) → q
12. Intersect(q, a) → J
13. Circle(B, Distance[A, J]) → g_1
14. Intersect(g_1, f_1, 2) → M
15. Segment(A, C) → e
16. Point(f) → D
17. Ray(C, D) → g
18. Line(B, e) → h
19. Intersect(h, g) → E
20. Segment(C, E) → i
21. Segment(B, E) → j
22. Point(i) → F
23. OrthogonalLine(A, i) → k
24. Angle(B, A, C) → α
25. Ray(C, E) → p
26. Intersect(f, k) → G
27. Segment(G, E) → r
28. Point(r) → K
29. OrthogonalLine(K, r) → s
30. Intersect(s, a) → L
31. Polygon(A, J, I, C) → poly1, a_1, j_1, i_1, c_1
32. Polygon(J, B, E, I) → poly2, j_2, b_1, e_1, i_2
33. Polygon(A, L, K, C) → poly3, a_2, l_1, k_1, c_2
34. Polygon(L, B, E, K) → poly4, l_2, b_2, e_2, k_2
35. Dilate(I, If[0 < o ≤ 1, 1 - o, 0], J) → I'
36. Segment(I, I') → t
37. Angle(J, I, E) → β
38. Dilate(J, If[2 < o ≤ 3, 3 - o, 0], M) → J'
39. Vector(J, J') → u
40. Angle(B, J, I) → γ
41. OrthogonalLine(E, b) → d_1
42. Translate(A, u) → A'
43. Translate(J, u) → J'_1
44. Translate(I, u) → I'_1
45. Translate(C, u) → C'
46. Polygon(A', J'_1, I'_1, C') → poly1', a', j'_1, i'_1, c'
47. Angle(I'_1, J', J) → δ
48. Polygon(A, B, E, C) → poly5, a_3, b_3, e_3, c_3
49. Circle(E, Distance[C, K]) → h_1
50. Intersect(h_1, f, 2) → N
51. Polygon(A, B, E, C) → poly6, a_4, b_4, e_4, c_4
52. Dilate(K, If[0 < o ≤ 1, 1 - o, 0], L) → K'
53. Segment(K, K') → m_1
54. Angle(L, K, E) → ε
55. Angle(B, L, K) → ζ
56. Dilate(K, If[2 < o ≤ 3, 3 - o, 0], N) → K'_1
57. Vector(K, K'_1) → v
58. Translate(A, v) → A'_1
59. Translate(L, v) → L'
60. Translate(K, v) → K'_2
61. Translate(C, v) → C'_1
62. Polygon(A'_1, L', K'_2, C'_1) → poly3', a'_1, l', k'_2, c'_1
63. Angle(K'_1, L', A) → η
64. Segment(J'_1, I'_1) → n_1
65. Segment(L', K'_2) → p_1