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P2MM Geometric Construction Demo

P2MM Geometric Construction Demo
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2017-11-23 08:38
FunctionCoordinate GeometryTransformationGeometric Construction
In collections Playing With Symmetry
This example demonstrates geometric constructions using GeoGebra, focusing on symmetry, transformations, and function graphs. Core math concepts include function plots, reflection axes, geometric transformations, similar triangles, and coordinate geometry. Key GeoGebra commands and objects used are Line, Mirror, and OrthogonalLine. Suitable for high school mathematics education to understand function transformations, geometric transformations, and applications of coordinate geometry.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Line(C, f) → g
  3. Mirror(f, g) → f'
  4. Mirror(g, f') → g'
  5. Mirror(f', g') → f''
  6. Mirror(g', f'') → g''
  7. Mirror(f'', g'') → f'''
  8. Mirror(g'', f''') → g'''
  9. Mirror(f''', g''') → h
  10. Mirror(g''', h) → i
  11. Mirror(Generator, f) → Generator'
  12. Mirror(Generator', g) → Generator''
  13. Mirror(Generator'', f') → Generator'''
  14. Mirror(Generator''', g') → D
  15. Mirror(D, f'') → D'
  16. Mirror(D', g'') → D''
  17. Mirror(D'', f''') → D'''
  18. Mirror(D''', g''') → E
  19. Mirror(E, h) → E'
  20. Mirror(E', i) → E''
  21. OrthogonalLine(F, f) → j
  22. Mirror(Generator, j) → Generator'_1
  23. Mirror(Generator'_1, f) → G
  24. Mirror(G, g) → G'
  25. Mirror(G', f') → G''
  26. Mirror(G'', g') → G'''
  27. Mirror(G''', f'') → H
  28. Mirror(H, g'') → H'
  29. Mirror(H', f''') → H''
  30. Mirror(H'', g''') → H'''
  31. Mirror(H''', h) → I
  32. Mirror(I, i) → I'