Open Middle Cyclic Quadrilateral Exercise

GeoGebra Commands & Parameters

1. Polygon(A0, B, 4) → poly0, f, g, h, i, A, C
2. Polygon(A3, H, 4) → poly3, j, k, l, m, E, G
3. Polygon(A7, P, 4) → poly7, n, p, q, r, I, K
4. Polygon(A1, D, 4) → poly1, s, t, a, b, M, O
5. Polygon(A6, N, 4) → poly6, c, d, e, f_1, Q, S
6. Polygon(A2, H2, 4) → poly2, k_1, l_1, m_1, n_1, W, Z
7. Polygon(A8, A8 + (2, 0), 4) → poly8, g_1, h_1, i_1, j_1, U, V
8. Polygon(A9, T, 4) → poly9, p_1, q_1, r_1, s_1, A_1, B_1
9. Polygon(A4, J, 4) → poly4, t_1, a_1, b_1, c_1, C_1, D_1
10. Polygon(A5, L, 4) → poly5, d_1, e_1, f_2, g_2, E_1, F_1
11. Polygon(K_1, L_1, 4) → poly10, l_2, m_2, n_2, p_2, M_1, N_1
12. Polygon(O_1, P_1, 4) → poly12, q_2, r_2, s_2, t_2, Q_1, R_1
13. Polygon(S_1, T_1, 4) → poly13, a_2, b_2, c_2, d_2, U_1, V_1
14. Polygon(C_2, D_2, 4) → poly15, i_3, j_3, k_3, l_3, E_2, F_2
15. Polygon(G_2, H_2, 4) → poly16, m_3, n_3, p_3, q_3, I_2, J_2
16. Polygon(G_{3}, H_{3}, 4) → poly17, m_{4}, n_{4}, p_{4}, q_{4}, I_{3}, J_{3}
17. Polygon(C_{3}, D_{3}, 4) → poly14, i_{4}, j_{4}, k_{4}, l_{4}, E_{3}, F_{3}
18. If(aleft > aright, "Left side is bigger.", aleft < aright, "Right side is bigger", "Both sides are equal!") → text9
19. nCr(4, 2) → w
20. If(o_1 ≟ 0, p15 / p10, ((-p15)) / p10) → u_2
21. If(u_1 ≟ 0, p12 / p13, ((-p12)) / p13) → v_2
22. If(w_1 ≟ 0, p17 / p14, ((-p17)) / p14) → w_2
23. If(o_2 ≟ 0, p16, (-p16)) → b_3
24. Polygon(T_2, U_2, 4) → poly11, s_3, t_3, a_3, c_3, V_2, W_2
25. Polygon(Z_2, A_3, 4) → poly18, d_3, e_3, f_4, g_4, B_3, M_3
26. Circle(N_3, O_3) → c_4
27. Point(c_4) → P_3
28. Point(c_4) → Q_3
29. Point(c_4) → R_3
30. Point(c_4) → S_3
31. Polygon(S_3, P_3, Q_3, R_3) → q1, h_4, r_4, s_4, t_4
32. Segment(Q_3, R_3) → a_4
33. Segment(R_3, S_3) → b_4
34. Segment(S_3, P_3) → d_4
35. Segment(P_3, Q_3) → e_4
36. Circle(A_2, B_2) → e_2
37. Point(e_2) → O_2
38. Point(e_2) → P_2
39. Segment(O_2, P_2) → h_2
40. Rotate(P_2, (((100 * p13) + (10 * p12) + p16) * pi / 180), O_2) → R_2
41. Ray(O_2, R_2) → i_2
42. Intersect(e_2, i_2, 2) → S_2
43. Rotate(O_2, ((-((10 * p14) + p18)) * pi / 180), P_2) → T_3
44. Ray(P_2, T_3) → j_2
45. Intersect(e_2, j_2, 2) → U_3
46. Segment(O_2, S_2) → k_2
47. Segment(P_2, U_3) → f_3
48. Rotate(P_2, ((-((10 * p11) + p17)) * pi / 180), U_3) → V_3
49. Ray(U_3, V_3) → g_3
50. Intersect(e_2, g_3, 2) → W_3
51. Angle(P_2, O_2, S_2) → α
52. Angle(U_3, P_2, O_2) → β
53. Angle(W_3, U_3, P_2) → γ
54. Segment(U_3, W_3) → h_3
55. Rotate(O_2, (((10 * p15) + p10) * pi / 180), S_2) → Z_3
56. Ray(S_2, Z_3) → r_3
57. Intersect(e_2, r_3, 2) → A_4
58. Angle(A_4, S_2, O_2) → δ
59. Segment(S_2, A_4) → f_5