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Shape Sorter

Shape Sorter
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2017-09-07 13:22
TriangleCirclePolygonVectorOptimization
This example demonstrates the classification and analysis of various geometric shapes (circles, polygons) using GeoGebra. It involves core mathematical concepts such as Similar Triangles, Vectors 3D, Linear Programming, Variance, and Bar Charts. The construction leverages commands like Circle, Polygon, and Centroid. Suitable for high school and above, it provides an intuitive understanding of geometric classification, data analysis, and optimization algorithms.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Circle(C, D) → d
  3. Circle(E, F) → e
  4. Circle(G, H) → f
  5. Polygon(I, J, 4) → poly1, a, b, g, h, K, L
  6. Polygon(M, N, 4) → poly2, i, j, k, l, O, P
  7. Polygon(Q, R, 4) → poly3, m, n, p, q, S, T
  8. Polygon(U, V, 4) → poly4, r, s, t, a_1, W, Z
  9. Polygon(A_1, B_1, 4) → poly5, b_1, c_1, d_1, e_1, C_1, D_1
  10. Polygon(E_1, F_1, 3) → poly6, f_1, g_1, h_1, G_1
  11. Polygon(H_1, I_1, 3) → poly7, i_1, j_1, k_1, J_1
  12. Polygon(K_1, L_1, 3) → poly8, l_1, m_1, n_1, M_1
  13. Polygon(N_1, O_1, 3) → poly9, p_1, q_1, r_1, P_1
  14. Polygon(Q_1, R_1, S_1, T_1) → poly10, q_2, r_2, s_1, t_1
  15. Circle(U_1, V_1) → c_2
  16. Polygon(W_1, Z_1, A_2, B_2) → poly11, w_1, z_1, a_2, b_2
  17. Polygon(C_2, D_2, 4) → poly12, d_2, e_2, f_2, g_2, E_2, F_2
  18. Polygon(G_2, H_2, I_2, J_2) → poly13, g_3, h_2, i_2, j_2
  19. Polygon(K_2, L_2, 3) → poly14, k_2, l_2, m_2, M_2
  20. Circle(N_2, O_2) → p_2
  21. Polygon(P_2, Q_2, 3) → poly15, n_2, s_2, t_2, R_2
  22. Centroid(poly6) → S_2
  23. Centroid(poly7) → V_2
  24. Centroid(poly8) → W_2
  25. Centroid(poly9) → Z_2
  26. Centroid(poly15) → A_3
  27. Centroid(poly1) → B_3
  28. Centroid(poly2) → C_3
  29. Centroid(poly3) → D_3
  30. Centroid(poly4) → E_3
  31. Centroid(poly5) → F_3