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Draw a Square

Draw a Square
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2015-09-11 03:20
PolygonCoordinate GeometryGeometric Construction
This example demonstrates how to draw a square using GeoGebra. Key mathematical concepts include geometric construction and coordinate geometry. Using commands like Segment, Line, Circle, and Intersect, the vertices and sides of the square are constructed. Suitable for middle school and above students to learn geometric construction and coordinate geometry.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Line(A, B) → zLine_1
  3. Circle(B, Segment[A, B]) → circle_1
  4. Intersect(circle_1, zLine_1, 2) → G
  5. Circle(A, Segment[A, G]) → circle_2
  6. Circle(G, Segment[A, G]) → circle_3
  7. Intersect(circle_2, circle_3, 1) → D_1
  8. Intersect(circle_2, circle_3, 2) → E_1
  9. Line(D_1, E_1) → zLine_2
  10. Circle(A, Segment[A, B]) → circle_4
  11. Intersect(circle_1, zLine_2, 1) → C_1
  12. Circle(C_1, Segment[A, B]) → circle_5
  13. Intersect(circle_4, circle_5, 1) → E_2
  14. Polygon(E_2, C_1, B, A) → zAnswer, g_1, f_1, b_1, a_1
  15. Line(A, B) → b
  16. Circle(B, Segment[A, B]) → c
  17. Intersect(c, b, 2) → C_2
  18. Circle(G, Segment[A, G]) → d
  19. Circle(A, Segment[G, A]) → e
  20. Intersect(d, e, 2) → D_2
  21. Intersect(d, e, 1) → E
  22. Line(D_2, E) → f
  23. Intersect(c, f, 1) → C
  24. Circle(C, Segment[B, A]) → g
  25. Circle(A, Segment[A, B]) → h
  26. Intersect(g, h, 2) → D
  27. Polygon(D, C, B, A) → poly1, h_1, f_2, b_2, a_2