Open Middle: Slope and Points Exercise

Open Middle: Slope and Points Exercise
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2021-09-07 08:26
In collections Slope

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. Intersect(h_2, eq1) → R_2
  20. Intersect(f_3, eq2) → S_2
  21. Polygon(A_2, B_2, R_2) → t1, i_2, j_2, k_2
  22. Polygon(A_2, B_2, S_2) → t2, e_2, g_3, h_3
  23. Line(A_2, B_2) → r_3
  24. Min(y(A_2), y(B_2)) → o
  25. If(o ≟ y(A_2), t1, t2) → t3
  26. nCr(4, 2) → w
  27. Segment((-13.5, 9.5), (-10.5, 9.5)) → s_3
  28. Segment((-13.5, 3.5), (-10.5, 3.5)) → t_3
  29. Segment((-5.5, 9.5), (-2.5, 9.5)) → a_3
  30. If(o_1 ≟ 0, p15 / p10, ((-p15)) / p10) → u_2
  31. If(u_1 ≟ 0, p12 / p13, ((-p12)) / p13) → v_2
  32. If(w_1 ≟ 0, p17 / p14, ((-p17)) / p14) → w_2
  33. If(o_2 ≟ 0, p16, (-p16)) → b_3

AI Drawing Prompt Reference

Construct several quadrilaterals on a coordinate plane with movable vertices forming different geometric configurations. Mark control points on the plane and connect them to create quadrilateral edges, adding horizontal and vertical line segments at appropriate positions. Establish conditional logic relationships to display text based on coordinate comparisons between points, such as showing messages like 'Left side is bigger', 'Right side is bigger', or 'Both sides are equal'. Calculate intersection points of specific lines and use these intersections to construct additional quadrilateral regions. The entire figure should demonstrate coordinate geometry, slope concepts, and dynamic relationships between points and lines, suitable for illustrating interactions between functions and geometry.
The prompt above was compiled from the original drawing commands and is for reference only.