Square Construction by 680353

Square Construction by 680353
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2015-04-23 07:06
This example demonstrates how to construct a square using fundamental geometric commands. It involves core concepts like geometric construction, coordinate geometry, and transformations. Key GeoGebra commands used include Line, Point, Circle, Intersect, and Polygon to form the square by constructing points, lines, circles, and intersection points. Suitable for middle school students and above to learn geometric construction techniques and understand applications of coordinate geometry and geometric transformations.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Point(a) → C
  3. Circle(A, C) → c
  4. Intersect(c, a, 2) → D
  5. Circle(D, C) → d
  6. Circle(C, D) → e
  7. Point(a) → E
  8. Circle(B, E) → f
  9. Intersect(f, a, 2) → F
  10. Circle(F, E) → g
  11. Circle(E, F) → h
  12. Intersect(d, e, 1) → G
  13. Intersect(g, h, 2) → H
  14. Line(A, G) → b
  15. Line(B, H) → i
  16. Circle(A, B) → k
  17. Circle(B, A) → p
  18. Intersect(k, b, 2) → I
  19. Intersect(p, i, 2) → J
  20. Line(I, J) → j
  21. Polygon(I, A, B, J) → poly1, i_1, a_1, b_1, j_1