Properties of Rectangle

GeoGebra Commands & Parameters

1. Line(A, B) → e_1
2. OrthogonalLine(A, e_1) → i
3. Segment(A, B) → d_1
4. Point(i) → D
5. Polygon(A, D, B) → P, a, b, d
6. Midpoint(D, B) → E
7. Rotate(A, (-rotateΔ), E) → A'
8. Rotate(D, (-rotateΔ), E) → D'
9. Rotate(B, (-rotateΔ), E) → B'
10. Polygon(A', D', B') → P', c, e, f
11. OrthogonalLine(B, e_1) → f_3
12. Intersect(f_3, e_1) → F
13. Midpoint(B', A') → G
14. If(rotateΔ > 0°, G) → K
15. Midpoint(d_1) → M
16. Angle(B', A', D') → γ
17. Angle(B, A, D) → δ
18. Angle(D, B, A) → ζ
19. Angle(D', B', A') → α
20. Angle(A, D, B) → β
21. Angle(A', D', B') → ε
22. Segment(D', A') → c_1
23. Segment(A, D) → a_1
24. Segment(B', A') → f_1
25. Segment(A, D) → a_2
26. Segment(D', A') → c_2
27. Segment(B', A') → f_2
28. Segment(A, B) → d_2
29. Segment(D, E) → g
30. Segment(B, E) → g_1
31. Segment(A, E) → h
32. Segment(A', E) → h_1
33. Angle(E, A, D) → η
34. Angle(B, A, E) → θ
35. Angle(D, A', E) → ι
36. Angle(E, A', B) → κ
37. Angle(A, D, A') → λ
38. Angle(A', B, A) → μ
39. Line(E, e_1) → j
40. Line(E, f_3) → k
41. Point(j) → L
42. Point(j) → N
43. Point(k) → O
44. Point(k) → Q
45. Segment(O, Q) → l
46. Segment(L, N) → m
47. Polygon(A, D, A', B) → P''', a_3, d_3, a', b_1
48. Rotate(A, (-turn), E) → A'_1
49. Rotate(D, (-turn), E) → D'_1
50. Rotate(A', (-turn), E) → A''
51. Rotate(B, (-turn), E) → B'_1
52. Polygon(A'_1, D'_1, A'', B'_1) → poly1, a'_1, d'_1, a'', b'_1
53. Polygon(A, D, A', B) → polyfold, a_4, d_4, a'_2, b_2
54. PointIn(polyfold) → drag
55. LineBisector(drag, A') → n
56. Intersect(d_4, n) → H
57. Intersect(n, a'_2) → I
58. Intersect(n, a_4) → J
59. Intersect(n, b_2) → R
60. Polygon(H, drag, I) → poly2, i_1, h_2, c_3
61. OrthogonalLine(drag, h_2) → p
62. Line(J, h_2) → q
63. Intersect(p, q) → S
64. Polygon(drag, I, J, S) → poly3, c_4, i_2, j_1, s
65. OrthogonalLine(drag, i_1) → r
66. Line(R, i_1) → t
67. Intersect(r, t) → T
68. Polygon(drag, H, R, T) → poly4, c_5, h_3, r_1, t_1