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Symmetry Lines Demonstration by bgrs_es

Symmetry Lines Demonstration by bgrs_es
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2015-03-19 02:30
PolygonTransformationGeometric Construction
This example demonstrates how to draw symmetry lines of polygons and illustrates their symmetry properties. The core math concepts involved include symmetry, polygons, and geometric construction. The construction uses GeoGebra commands like Polygon for creating shapes, and objects such as points A, B, C, D, and polygon objects poly1, poly2, poly3, poly4, along with points a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p. It is suitable for high school students learning about symmetry axes and their properties, serving as a useful tool for geometric construction education.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Polygon(E, F, G, H) → poly2, e, f, g, h
  3. Polygon(I, J, K, L) → poly3, i, j, k, l
  4. Polygon(M, N, O, P, Q, R, S, T) → poly4, m, n, o, p, q, r, s, t
  5. Polygon(U, V, W, Z, A_1) → poly5, u, v, w, z_1, a_1
  6. Polygon(B_1, C_1, D_1, E_1, F_1, G_1, H_1, I_1, J_1, K_1) → poly6, b_1, k_1, c_1, d_1, e_1, f_1, g_1, h_1, i_1, j_1
  7. Polygon(L_1, M_1, N_1, O_1) → poly7, l_1, m_1, n_1, o_1
  8. Polygon(P_1, Q_1, R_1, S_1) → poly8, p_1, q_1, r_1, s_1
  9. Polygon(T_1, U_1, V_1, W_1, Z_1, A_2, B_2, C_2, D_2, E_2) → poly9, t_1, e_2, u_1, v_1, w_1, z_2, a_2, b_2, c_2, d_2
  10. Polygon(F_2, G_2, P_2, Q_2, H_2, I_2, J_2, K_2, L_2, M_2, N_2, O_2) → poly10, f_2, o_2, p_2, q_2, g_2, h_2, i_2, j_2, k_2, l_2, m_2, n_2
  11. Polygon(R_2, S_2, D_3, E_3, T_2, U_2, V_2, W_2, Z_2, A_3, B_3, C_3) → poly11, r_2, c_3, d_3, e_3, s_2, t_2, u_2, v_2, w_2, z_3, a_3, b_3