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Triangle, Reflection, Vectors, Rotation

Triangle, Reflection, Vectors, Rotation
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2015-10-30 21:50
TriangleVectorGeometric Construction
This example demonstrates geometric transformations of a triangle including reflection, vector operations, and rotation. Key math concepts involve reflection symmetry, vector representation, rotational transformations, and geometric constructions. GeoGebra commands and objects used in the construction include Polygon, Line, Mirror, Vector, and Rotate. Suitable for high school mathematics education to understand geometric transformations and vector applications.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Line(E, F) → d
  3. Mirror(A, d) → A'
  4. Mirror(B, d) → B'
  5. Mirror(C, d) → C'
  6. Polygon(A', B', C') → poly1', c', a', b'
  7. Vector(C, C') → u
  8. Vector(B, B') → v
  9. Vector(A, A') → w
  10. Rotate(A', 90*°, C') → A''
  11. Rotate(B', 90*°, C') → B''
  12. Rotate(C', 90*°, C') → C''
  13. Polygon(A'', B'', C'') → poly1'', c'', a'', b''