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Drawing a Square

Drawing a Square
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2013-04-13 09:00
PolygonCoordinate GeometryGeometric Construction
In collections Square Translation Tessellation
This example demonstrates how to draw a square and explore its properties. Key math concepts include polygons, coordinate geometry, geometric construction, and perimeter calculation. It uses commands like Polygon, Segment, and Point to construct vertices and edges, involving points a, b, c, d, and polygon poly1. Suitable for middle school students learning polygon drawing and coordinate geometry applications.

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 using points A, B, C, and D as vertices. Then draw the four sides of the square. Next, draw the diagonals AC and BD, and draw a line segment from point C to point J. Finally, draw the incircle of the square, ensuring the center is at the square's center.
The prompt above was compiled from the original drawing commands and is for reference only.