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Reflections and Rotations

Reflections and Rotations
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2016-01-18 21:22
PolygonVectorGeometric Construction
This example demonstrates the transformation effects of polygons through reflections and rotations. Core math concepts include reflection, rotation, vector, polygon, and coordinate geometry. Construction highlights involve commands like Polygon, Vector, Translate, Line, and Mirror in GeoGebra. Suitable for high school mathematics teaching to understand the properties and applications of geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Vector(D, E) → v
  3. Translate(A, v) → A'
  4. Translate(B, v) → B'
  5. Translate(C, v) → C'
  6. Polygon(A', B', C') → poly1', c', a', b'
  7. Line(F, G) → m
  8. Line(H, I) → n
  9. Mirror(A, m) → A'_1
  10. Mirror(B, m) → B'_1
  11. Mirror(C, m) → C'_1
  12. Polygon(A'_1, B'_1, C'_1) → poly1'_1, c'_1, a'_1, b'_1
  13. Mirror(A'_1, n) → A''
  14. Mirror(B'_1, n) → B''
  15. Mirror(C'_1, n) → C''
  16. Polygon(A'', B'', C'') → poly2, l, j, k