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Virtual Geoboard: Squares

Virtual Geoboard: Squares
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2016-09-22 16:23
PolygonCoordinate GeometryGeometric Construction
In collections Geometric Figures on the Virtual Geoboard
① This example demonstrates how to practice creating displayed squares on a virtual geoboard by dragging blue points onto corresponding grid points. ② Core math concepts include properties of squares, coordinate grid positioning, polygon construction, and geometric visualization. ③ Construction highlights: uses GeoGebra commands such as Polygon to create shapes, Random to generate random square placements, and Vector to support direction/translation understanding; involves multiple points (e.g., A, B, C) and auxiliary objects (e.g., I_2, A_2) for interactive dragging. ④ Suitable for upper elementary to middle school students for hands-on geometry learning, and useful for teachers as a classroom demonstration tool to reinforce square recognition and construction on a grid.

GeoGebra Commands & Parameters

  1. Polygon(B_1, C_1, D_1, E_2) → Vieleck1, h, k, n, s
  2. Polygon(I, G, R) → Vieleck2, r, i, g
  3. Polygon(B, E, P, S) → Vieleck3, a, b, c, d
  4. Polygon(T, J, H, R) → Vieleck4, j, q, t, e
  5. Polygon(V, I, F, A_1) → Vieleck5, m, j_1, k_1, l_1
  6. Polygon(L, M, R, S) → Vieleck6, f, l, p, c_1
  7. Random(1, 7) → zuf
  8. Polygon(A, E, A_1, U) → Vieleck7, a_1, e_1, i_2, j_2
  9. Polygon(R_1, Q_1, F_2, S_1) → Vieleck8, f_1, g_1, h_1, i_1
  10. Polygon(T_1, U_1, H_2, V_1) → Vieleck9, r_1, s_1, t_1, b_1
  11. Polygon(I_2, W_1, Z_1, A_2) → Vieleck10, d_1, f_2, g_2, h_2
  12. Polygon(B_2, C_2, G_2, D_2) → Vieleck11, m_1, n_1, p_1, q_1
  13. Vector(U_2, V_2) → u

AI Drawing Prompt Reference

Draw multiple squares on a virtual geoboard, each formed by four vertices placed on grid intersections. The squares vary in size and position, some overlapping or adjacent. One square includes a direction vector indicating translation or rotation. All squares are shown as polygons with clear edges and draggable vertices. The overall layout is on a coordinate grid, emphasizing geometric properties and spatial placement.
The prompt above was compiled from the original drawing commands and is for reference only.