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Gerdes Rectangle Axiom

Gerdes Rectangle Axiom
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2018-05-31 06:36
FunctionCoordinate GeometryGeometric Construction
This example illustrates the Gerdes Rectangle Axiom, involving the properties of rectangles and linear functions. It demonstrates the construction of rectangles using commands such as Circle, Line, Point, Intersect, Segment, and Angle. Suitable for middle school and above students to learn geometric construction and linear functions.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Line(B, A) → f
  3. Point(c) → C
  4. Line(C, A) → g
  5. Intersect(c, f, 2) → D
  6. Intersect(c, g, 2) → E
  7. Segment(C, D) → h
  8. Segment(D, E) → i
  9. Segment(E, B) → j
  10. Segment(B, C) → k
  11. Segment(C, A) → l
  12. Segment(A, B) → m
  13. Segment(A, E) → n
  14. Segment(E, D) → p
  15. Segment(A, D) → q
  16. Angle(C, B, E) → α
  17. Angle(B, E, D) → β
  18. Angle(E, D, C) → γ
  19. Angle(D, C, B) → δ
  20. Segment(C, A) → r
  21. Segment(A, B) → s
  22. Intersect(i, j) → F
  23. Segment(F, A) → t
  24. Intersect(h, i) → G
  25. Segment(A, G) → d