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Square and Rhombus Construction

Square and Rhombus Construction
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2020-04-30 19:29
PolygonTransformationGeometric Construction
This example demonstrates how to use GeoGebra to construct a square and a rhombus. It involves core geometric concepts such as constructing polygons, rotation, and intersection. Using commands like Polygon, Prism, Midpoint, Rotate, and Intersect, users can learn how to construct these basic geometric objects. Suitable for middle school and above students and teachers.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → vierhoek1, a, b, c, d
  2. Prism(vierhoek1, 4) → e, E, RibbeAE, RibbeBF, RibbeCG, RibbeDH, RibbeEF, RibbeFG, RibbeGH, RibbeEH, F, G, H, zijvlakABFE, zijvlakBCGF, zijvlakCDHG, zijvlakADHE, zijvlakEFGH
  3. Midpoint(RibbeBF) → I
  4. Midpoint(RibbeDH) → J
  5. Polygon(G, K, M) → driehoek1, m, g, k
  6. Polygon(G, M, L) → driehoek2, l, g_1, m_1
  7. Polygon(K, B, A, M) → vierhoek2, k_1, b_1, a_1, m_2
  8. Polygon(M, A, D, L) → vierhoek3, m_3, a_2, d_1, l_1
  9. Polygon(G, L, H) → driehoek3, h, g_2, l_2
  10. Polygon(F, K, G) → driehoek4, g_3, f, k_2
  11. Rotate(O, 45°, N) → O'
  12. Polygon(N, O, P, O') → vierhoek4, n, o, p, o'
  13. Prism(vierhoek4, 4) → i, Q, RibbeNQ, RibbeOR, RibbePS, RibbeO'T, RibbeQR, RibbeRS, RibbeST, RibbeQT, R, S, T, zijvlakNORQ, zijvlakOPSR, zijvlakO'PST, zijvlakNO'TQ, zijvlakQRST
  14. Polygon(U, W, R) → driehoek5, r, u, w
  15. Polygon(R, W, V) → driehoek6, v, r_1, w_1
  16. Polygon(N, O', W, U) → vierhoek5, n_1, j, w_2, u_1
  17. Polygon(W, O', P, V) → vierhoek6, w_3, q, p_1, v_1
  18. Polygon(R, V, S) → driehoek7, s, r_2, v_2
  19. Polygon(Q, U, R) → driehoek8, r_3, q_1, u_2
  20. Polygon(B_1, C_1, D_1, E_1, F_1, G_1) → veelhoek1, f_1, h_1, i_1, e_1, j_1, s_1
  21. Polygon(F_1, E_1, H_1, I_1, J_1, K_1) → veelhoek2, t_1, f_2, h_2, i_2, j_2, n_2
  22. Intersect(i_2, j_2) → L_1
  23. Intersect(h_2, i_2) → M_1
  24. Polygon(L_1, M_1, N_1, O_1, P_1, Q_1) → veelhoek3, p_2, q_2, s_2, o_1, t_2, b_2
  25. Polygon(R_1, S_1, T_1, U_1, V_1, W_1) → veelhoek4, c_2, d_2, e_2, f_3, h_3, i_3
  26. Point(c_2) → A_2
  27. Polygon(Z_1, P_1, O_1, B_2, T_1, A_2) → veelhoek5, z_1, j_3, k_3, l_3, n_3, p_3