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Constructing a Rectangular Prism

Constructing a Rectangular Prism
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2016-06-14 21:57
VectorSolid GeometryGeometric Construction
This example demonstrates how to construct a rectangular prism and its related geometric elements using GeoGebra. Key math concepts include solid geometry, vectors, points, lines, polygon construction, and intersection calculations. The construction involves commands like Polygon, Segment, Intersect, and Point, along with objects such as A, B, C, D, E, F, G, H for auxiliary purposes. It is suitable for high school geometry teaching or practice in geometric construction.

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. Segment(F, C) → i
  4. Segment(G, B) → j
  5. Segment(H, A) → k
  6. Intersect(e, h) → I
  7. Intersect(c, d) → J
  8. Segment(I, J) → l
  9. Point(Circle[K, 2.24]) → L
  10. Point(Circle[L, 1]) → M
  11. Point(Circle[M, 2.24]) → N
  12. Polygon(O, P, Q, R) → poly3, o, p, q, r
  13. Polygon(O_1, P_1, Q_1, R_1) → poly3_1, o_1, p_1, q_1, r_1
  14. Segment(P_1, P) → m
  15. Segment(Q_1, Q) → n
  16. Segment(O_1, O) → s
  17. Segment(R_1, R) → t
  18. Segment(T, U) → a_1
  19. Segment(T_1, U_1) → a_2
  20. Polygon(S, T, U, U_1) → poly4, s_1, t_1, u, u_1
  21. Segment(T_2, U_2) → a_3
  22. Polygon(S_1, T_2, U_2, U_3) → poly4_1, s_2, t_2, u_2, u_3
  23. Segment(U_2, T_2) → b_1
  24. Segment(U_3, S_1) → c_1
  25. Segment(S_1, S) → d_1
  26. Segment(U_3, U_1) → e_1
  27. Segment(U_2, U) → f_1
  28. Segment(T_2, T) → g_1
  29. Polygon(V, W, Z) → poly5, z_1, v, w
  30. Polygon(V_1, W_1, Z_1) → poly5_1, z_2, v_1, w_1
  31. Segment(W_1, W) → h_1
  32. Segment(Z_1, Z) → i_1
  33. Segment(V_1, V) → j_1
  34. Polygon(A_1, B_1, C_1) → poly6, c_2, a_4, b_2
  35. Polygon(A_2, B_2, C_2) → poly6_1, c_3, a_5, b_3
  36. Segment(C_1, C_2) → k_1
  37. Segment(B_1, B_2) → l_1
  38. Segment(A_1, A_2) → m_1