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Translation, Reflection, Rotation Demo

Translation, Reflection, Rotation Demo
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2017-10-04 11:19
VectorCoordinate GeometryTransformationGeometric Construction
This example demonstrates the process and effects of transforming a polygon in a 2D plane through translation, reflection, and rotation. It involves core mathematical concepts such as vectors, geometric transformations, coordinate geometry, and symmetry. Key GeoGebra commands and objects used in the construction include Polygon, Vector, Translate, Mirror, Intersect, and Rotate. It is suitable for high school students learning geometric transformations, understanding the properties and rules of transformations, and developing spatial reasoning skills.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Polygon(E, F, G) → poly2, g, e, f
  3. Polygon(H, I, J) → poly3, j, h, i
  4. Vector(D, K) → u
  5. Polygon(L, M, N) → t1, n, l, m
  6. Translate(A, u) → A'
  7. Translate(B, u) → B'
  8. Translate(C, u) → C'
  9. Polygon(A', B', C') → poly1', c', a', b'
  10. Mirror(A', xAxis) → A''
  11. Mirror(B', xAxis) → B''
  12. Mirror(C', xAxis) → C''
  13. Polygon(A'', B'', C'') → poly1'', c'', a'', b''
  14. Intersect(xAxis, yAxis) → O
  15. Rotate(A'', 180°, O) → A'''
  16. Rotate(B'', 180°, O) → B'''
  17. Rotate(C'', 180°, O) → C'''
  18. Polygon(A''', B''', C''') → poly1''', c''', a''', b'''