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GeoGebra Geometric Construction: Circle and Vector Transformations

GeoGebra Geometric Construction: Circle and Vector Transformations
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2025-01-28 01:17
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This example demonstrates how to construct circles and vector relationships using geometric transformations. Key mathematical concepts include vector operations, circle equations, and geometric transformations. Construction involves using GeoGebra commands like Circle, Corner, Sequence, Translate, and Mirror to create dynamic graphics. Suitable for high school students or college freshmen learning

GeoGebra Commands & Parameters

  1. Circle((0, 0), 4) → c
  2. Corner(1, 1) → Export_1
  3. Corner(1, 3) → Export_2
  4. Sequence({random(), random(), random()}, k, 1, númeroListas) → listaAzar
  5. Sequence(If[oscuro, {1, 1, 1}, {0, 0, 0}], k, 1, númeroListas) → listaBorde
  6. Translate(negro, t) → negroT
  7. Mirror(negroT, c) → negro'
  8. Mirror(negroT, c) → blanco'
  9. Translate(lista1, t) → tras1
  10. Mirror(tras1, c) → inv1
  11. Translate(lista2, t) → tras2
  12. Mirror(tras2, c) → inv2
  13. Translate(lista3, t) → tras3
  14. Mirror(tras3, c) → inv3
  15. Translate(lista4, t) → tras4
  16. Mirror(tras4, c) → inv4