Quadrilateral Exploration by Alan

GeoGebra Commands & Parameters

1. Polygon(A, B, C, D) → Q, a, b, c, d
2. Polygon(A_P, B_P, C_P, D_P) → P, a_p, b_p, c_p, d_p
3. Point(Line[C_T, Line[A_T, B_T]]) → D_T
4. Polygon(A_T, B_T, C_T, D_T) → T, a_t, b_t, c_t, d_t
5. Mirror(C_{T_I}, LineBisector[Segment[A_{T_I}, B_{T_I}]]) → D_{T_I}
6. Polygon(A_{T_I}, B_{T_I}, C_{T_I}, D_{T_I}) → T_I, a_{t_i}, b_{t_i}, c_{t_i}, d_{t_i}
7. Point(Circle[B_{RH}, Distance[A_{RH}, B_{RH}]]) → C_{RH}
8. Polygon(A_{RH}, B_{RH}, C_{RH}, D_{RH}) → R_H, a_rh, b_{rh}, c_{rh}, d_{rh}
9. Point(Circle[B_K, Distance[A_K, B_K]]) → C_K
10. Point(LineBisector[A_K, C_K]) → D_K
11. Polygon(A_K, B_K, C_K, D_K) → K, a_k, b_k, c_k, d_k
12. Point(OrthogonalLine[B_{RE}, Line[A_{RE}, B_{RE}]]) → C_{RE}
13. Polygon(A_{RE}, B_{RE}, C_{RE}, D_{RE}) → R_E, a_{re}, b_{re}, c_{re}, d_{re}
14. Polygon(A_S, B_S, C_S, D_S) → S, a_s, b_s, c_s, d_s
15. Intersect(Segment[A, C], Segment[B, D]) → E
16. Segment(A, E) → AE
17. Segment(B, E) → BE
18. Segment(D, E) → DE
19. Segment(C, E) → CE
20. Intersect(Segment[A_P, C_P], Segment[B_P, D_P]) → E_P
21. Segment(A_P, E_P) → AE_P
22. Segment(B_P, E_P) → BE_P
23. Segment(C_P, E_P) → CE_P
24. Segment(D_P, E_P) → DE_P
25. Intersect(Segment[A_{RE}, C_{RE}], Segment[B_{RE}, D_{RE}]) → E_{RE}
26. Segment(A_{RE}, E_{RE}) → AE_{RE}
27. Segment(B_{RE}, E_{RE}) → BE_{RE}
28. Segment(C_{RE}, E_{RE}) → CE_{RE}
29. Segment(D_{RE}, E_{RE}) → DE_{RE}
30. Intersect(Segment[A_{RH}, C_{RH}], Segment[B_{RH}, D_{RH}]) → E_{RH}
31. Segment(A_{RH}, E_{RH}) → AE_{RH}
32. Segment(B_{RH}, E_{RH}) → BE_{RH}
33. Segment(C_{RH}, E_{RH}) → CE_{RH}
34. Segment(D_{RH}, E_{RH}) → DE_{RH}
35. Intersect(Segment[A_S, C_S], Segment[B_S, D_S]) → E_S
36. Segment(A_S, E_S) → AE_S
37. Segment(B_S, E_S) → BE_S
38. Segment(C_S, E_S) → CE_S
39. Segment(D_S, E_S) → DE_S
40. Intersect(Segment[A_K, C_K], Segment[B_K, D_K]) → E_K
41. Segment(A_K, E_K) → AE_K
42. Segment(B_K, E_K) → BE_K
43. Segment(C_K, E_K) → CE_K
44. Segment(D_K, E_K) → DE_K
45. Intersect(Segment[A_T, C_T], Segment[B_T, D_T]) → E_T
46. Segment(A_T, E_T) → AE_T
47. Segment(B_T, E_T) → BE_T
48. Segment(C_T, E_T) → CE_T
49. Segment(D_T, E_T) → DE_T
50. Intersect(Segment[A_{T_I}, C_{T_I}], Segment[B_{T_I}, D_{T_I}]) → E_{T_I}
51. Segment(A_{T_I}, E_{T_I}) → AE_{T_I}
52. Segment(B_{T_I}, E_{T_I}) → BE_{T_I}
53. Segment(C_{T_I}, E_{T_I}) → CE_{T_I}
54. Segment(D_{T_I}, E_{T_I}) → DE_{T_I}
55. Distance(AE_S, DE_S) → e
56. Distance(A_S, E_S) → distanceASES