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Quadrilaterals & Rotation

Quadrilaterals & Rotation
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2016-05-02 20:16
PolygonTransformationGeometric Construction
This example demonstrates the transformation and properties of quadrilaterals under rotational transformations. Key math concepts include rotational symmetry, quadrilateral geometry, and geometric constructions. Construction highlights involve using Polygon for quadrilateral creation, Midpoint and Segment for midpoint and edge determination, Line for auxiliary lines, Intersect for intersection points, Point for key point marking, Ray for rotation direction definition, and Rotate for transformation execution. Suitable for high school mathematics education to understand geometric transformations and quadrilateral characteristics.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Midpoint(A, B) → E
  3. Midpoint(B, C) → F
  4. Midpoint(C, D) → G
  5. Midpoint(D, A) → H
  6. Segment(A, C) → e
  7. Segment(B, D) → f
  8. Segment(E, G) → g
  9. Segment(F, H) → h
  10. Line(A, C) → i
  11. Line(B, D) → k
  12. Line(E, G) → l
  13. Line(F, H) → m
  14. Intersect(i, k) → I
  15. Point(m) → J
  16. Ray(I, J) → j
  17. Rotate(A, α, I) → A'
  18. Rotate(B, α, I) → B'
  19. Rotate(C, α, I) → C'
  20. Rotate(D, α, I) → D'
  21. Polygon(A', B', C', D') → poly1', a', b', c', d'