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Square 6

Square 6
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2013-04-13 09:03
PolygonVectorGeometric Construction
In collections Square Translation Tessellation
This example demonstrates a square. It involves key mathematical concepts such as the properties of a square, vectors, and polygons. Using GeoGebra commands like Polygon, Segment, and Point, a square can be constructed. Suitable for middle school and above students to learn square geometric construction.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, a, b, c, d, C, D
  2. Segment(C, E) → e
  3. Segment(E, F) → f
  4. Segment(F, G) → g
  5. Segment(G, H) → h
  6. Segment(H, B) → i
  7. Polygon(A_1, B_1, 4) → poly1_1, a_1, b_1, c_1, d_1, C_1, D_1
  8. Segment(C_1, E_1) → e_1
  9. Segment(E_1, F_1) → f_1
  10. Segment(F_1, G_1) → g_1
  11. Segment(G_1, H_1) → h_1
  12. Segment(H_1, B_1) → i_1
  13. Segment(D, I) → j
  14. Point(c) → J
  15. Segment(I, J) → k
  16. Segment(K, J) → l
  17. Segment(K, L) → m
  18. Segment(L, M) → n
  19. Point(c) → N
  20. Segment(M, N) → p
  21. Segment(C, N) → q
  22. Polygon(A_2, B_2, 4) → poly1_2, a_3, b_3, c_2, d_3, C_2, D_2
  23. Polygon(A_3, B_3, 4) → poly1_3, a_2, b_2, c_3, d_2, C_3, D_3
  24. Segment(D_2, I_1) → j_1
  25. Point(c_2) → J_1
  26. Segment(I_1, J_1) → k_1
  27. Segment(K_1, J_1) → l_1
  28. Segment(K_1, L_1) → m_1
  29. Segment(L_1, M_1) → n_1
  30. Point(c_2) → N_1
  31. Segment(M_1, N_1) → p_1
  32. Segment(C_2, N_1) → q_1

AI Drawing Prompt Reference

Draw a square ABCD, then draw its diagonals AC and BD. Find the midpoints of the sides and connect them to form the square's incircle. Finally, draw the circumcircle of the square.
The prompt above was compiled from the original drawing commands and is for reference only.