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Classification of Polygons Interactive Teaching Example

Classification of Polygons Interactive Teaching Example
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2019-07-22 15:50
CirclePolygonAngleCoordinate GeometryGeometric Construction
This GeoGebra activity demonstrates the classification of polygons and related terminology such as sides, vertices, and interior angles. It is designed for teacher-led discussion and quick checks of student prior knowledge. Core math concepts include polygon definitions, classification by number of sides (triangle, quadrilateral, pentagon, etc.), interior angle sums, and connections with circles (semicircles). Construction uses the Polygon command to create multiple polygons (poly1, poly2), Segment for edges, Intersect for intersection points, and Semicircle for auxiliary arcs. Objects include vertices A, B, C, D, E, F and auxiliary points G, H, I, J, K. Suitable for middle or high school geometry classes, this interactive tool supports guided inquiry, formative assessment, and self-paced exploration of polygon properties.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E, F) → poly1, a, b, c, d, e, f
  2. Polygon(G, H, I, J, K) → poly2, g, h, i, j, k
  3. Segment(M, N) → l
  4. Segment(N, L) → m
  5. Segment(L, M) → n
  6. Segment(O, P) → p
  7. Segment(P, Q) → q
  8. Segment(Q, O) → r
  9. Intersect(r, l) → R
  10. Intersect(n, r) → S
  11. Intersect(n, p) → T
  12. Intersect(p, m) → U
  13. Intersect(m, q) → V
  14. Intersect(l, q) → W
  15. Polygon(W, Q, R) → t1, r_1, w, q_1
  16. Polygon(W, N, V) → t2, v, w_1, n_1
  17. Polygon(V, P, U) → t3, u, v_1, p_1
  18. Polygon(U, L, T) → t4, t, u_1, l_1
  19. Polygon(T, O, S) → t5, s, t_1, o
  20. Polygon(S, M, R) → t6, r_2, s_1, m_1
  21. Polygon(S, T, U, V, W, R) → poly3, s_2, t_2, u_2, v_2, w_2, r_3
  22. Polygon(Z, A_1, B_1, C_1) → q1, z_1, a_1, b_1, c_1
  23. Polygon(D_1, E_1, F_1) → t7, f_1, d_1, e_1
  24. Segment(G_1, M_1) → g_1
  25. Segment(M_1, L_1) → h_1
  26. Segment(L_1, K_1) → i_1
  27. Segment(K_1, G_1) → j_1
  28. Segment(J_1, I_1) → k_1
  29. Segment(I_1, H_1) → f_2
  30. Segment(H_1, J_1) → g_2
  31. Intersect(g_2, h_1) → N_1
  32. Intersect(h_1, f_2) → O_1
  33. Intersect(i_1, f_2) → P_1
  34. Intersect(k_1, i_1) → Q_1
  35. Intersect(k_1, g_1) → R_1
  36. Intersect(g_2, g_1) → S_1
  37. Polygon(S_1, M_1, N_1) → t8, h_2, i_2, j_2
  38. Polygon(N_1, H_1, O_1) → t9, o_1, k_2, l_2
  39. Polygon(O_1, L_1, P_1) → t10, m_2, n_2, p_2
  40. Polygon(P_1, I_1, Q_1) → t11, q_2, a_2, b_2
  41. Polygon(Q_1, K_1, G_1, R_1) → q2, c_2, d_2, e_2, f_3
  42. Polygon(R_1, S_1, J_1) → t12, g_3, h_3, i_3
  43. Polygon(Q_1, P_1, O_1, N_1, S_1, R_1) → poly4, j_3, k_3, l_3, m_3, n_3, p_3
  44. Segment(T_1, U_1) → q_3
  45. Segment(U_1, V_1) → s_3
  46. Segment(V_1, W_1) → t_3
  47. Semicircle(T_1, W_1) → c_3
  48. Segment(Z_1, A_2) → a_3
  49. Segment(B_2, Z_1) → b_3
  50. Segment(B_2, C_2) → d_3
  51. Segment(D_2, C_2) → e_3
  52. Polygon(E_2, F_2, 8) → poly5, f_4, H_2, I_2, J_2, K_2, L_2, g_4, h_4, i_4, j_4, k_4, l_4, m_4, G_2
  53. Polygon(M_2, N_2, 4) → poly6, n_4, p_4, q_4, r_4, O_2, P_2