Classifying Quadrilaterals by Anthony OR 柯志明

Loading the math board and drawing, please wait…

2012-10-14 11:45

In collections CBSE Class VI Maths

This GeoGebra example demonstrates the classification of quadrilaterals through interactive coloring, enabling students to visually identify and differentiate various quadrilateral types such as squares, rectangles, parallelograms, and trapezoids. The core mathematical concepts involved include quadrilateral geometric properties, classification criteria (e.g., side parallelism, angle characteristics), and spatial reasoning. Construction highlights: it employs Point commands to define points (e.g., A', B, C, D), Polygon commands to draw polygons (e.g., polyA, poly1, poly2), and UnitVector and UnitOrthogonalVector commands for directional assistance, creating a dynamic model. Suitable for middle or high school geometry education, ideal for classroom use or student self-study.

GeoGebra Commands & Parameters

Point(Circle[A', 4]) → B
Polygon(A', B, C, D) → polyA, a_1, a_2, a_3, a_4
Point(Circle[E, 0.3999999999999986]) → F
Polygon(E, F, G, H) → poly2, e, f, g, h
Point(Circle[I, 0.3000000000000007]) → J
Polygon(I, J, K, L) → poly1, i, j, k, l
Point(Circle[M, 0.3000000000000007]) → N
Polygon(M, N, O, P) → poly4, m, n, o, p
Point(Circle[Q, 0.3605551275463988]) → R
Polygon(Q, R, S, T) → poly3, q, r, s, t
Point(Circle[U, 0.5]) → V
Polygon(U, V, W, Z) → poly5, u', v', w, z
Point(Circle[A'_1, 0.3999999999999986]) → B_1
Polygon(A'_1, B_1, C_1, D_1) → poly6, a_5, b_5, c_5, d_5
Point(Circle[E_1, 2]) → F_1
Polygon(E_1, F_1, G_1, H_1) → polyB, b_1, b_2, b_3, b_4
Point(Circle[I_1, 1]) → J_1
Polygon(I_1, J_1, K_1, L_1) → polyC, c_1, c_2, c_3, c_4
Point(Circle[M_1, 1.9849433241279208]) → N_1
Polygon(M_1, N_1, O_1, P_1) → polyD, d_1, d_2, d_3, d_4
Point(Circle[Q_1, 1.5]) → R_1
Polygon(Q_1, R_1, S_1, T_1) → polyE, e_1, e_2, e_3, e_4
Point(Circle[U_1, 4.5]) → V_1
Polygon(U_1, V_1, W_1, Z_1) → polyF, f_1, f_2, f_3, f_4
Point(Circle[A'_2, 1.47648230602334]) → B_2
Polygon(A'_2, B_2, C_2, D_2) → polyG, g_2, g_1, g_3, g_4
Point(Circle[E_2, 3]) → F_2
Polygon(E_2, F_2, G_2, H_2) → polyH, h_1, h_2, h_4, h_3
Point(Circle[I_2, 3]) → J_2
Polygon(I_2, J_2, K_2, L_2) → polyI, i_1, i_2, i_3, i_4
Point(Circle[M_2, 3.0083217912982647]) → N_2
Polygon(M_2, N_2, O_2, P_2) → polyJ, j_1, j_2, j_3, j_4
Point(Circle[Q_2, 1.6]) → R_2
Polygon(Q_2, R_2, S_2, T_2) → polyK, k_1, k_2, k_3, k_4
Point(Circle[U_2, 1.5]) → V_2
Polygon(U_2, V_2, W_2, Z_2) → polyL, l_1, l_2, l_3, l_4
Point(Circle[A'_3, 1.5]) → B_3
Polygon(A'_3, B_3, C_3, D_3) → polyM, m_1, m_2, m_3, m_4
Point(Circle[E_3, 2.5]) → F_3
Polygon(E_3, F_3, G_3, H_3) → polyN, n_1, n_2, n_3, n_4
Point(Circle[I_3, 2]) → J_3
Polygon(I_3, J_3, K_3, L_3) → polyO, o_1, o_2, o_3, o_4
Point(Circle[M_3, 5.5]) → N_3
Polygon(M_3, N_3, O_3, P_3) → polyP, p_1, p_4, p_2, p_3
Point(Circle[Q_3, 2]) → R_3
Polygon(Q_3, R_3, S_3, T_3) → polyQ, q_1, q_2, q_3, q_4
Point(Circle[U_3, 2.5]) → V_3
Polygon(U_3, V_3, W_3, Z_3) → polyR, r_1, r_2, r_3, r_4
Point(Circle[A'_4, 1.2]) → B_4
Polygon(A'_4, B_4, C_4, D_4) → polyS, s_1, s_2, s_3, s_4
Point(Circle[E_4, 1.5]) → F_4
Polygon(E_4, F_4, G_4, H_4) → polyT, t_1, t_2, t_3, t_4
Polygon(I_4, J_4, K_4, L_4) → poly7, i_5, j_5, k_5, l_5
Polygon(I_5, J_5, K_5, L_5) → poly7_1, i_6, j_6, k_6, l_6
Polygon(I_6, J_6, K_6, L_6) → poly7_2, i_7, j_7, k_7, l_7
Polygon(I_7, J_7, K_7, L_7) → poly7_3, i_8, j_8, k_8, l_8
Polygon(I_8, J_8, K_8, L_8) → poly7_4, i_9, j_9, k_9, l_9
Polygon(I_9, J_9, K_9, L_9) → poly7_5, i_{10}, j_{10}, k_{10}, l_{10}
Point(Circle[A_1, 1]) → A_6
UnitVector(Segment[A_1, A_6]) → u
UnitOrthogonalVector(Segment[A_1, A_6]) → v
Polygon(A_1, A_2, A_3, A_4, A_5, A_6) → poly8, a_6, a_7, a_8, a_9, a_{10}, a_{11}