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Similar Rectangle Dilation

Similar Rectangle Dilation
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2017-02-21 08:39
Coordinate GeometryTransformationGeometric Construction
This example demonstrates how to generate similar rectangles through dilation transformations. It involves core math concepts like dilation, similar triangles, and coordinate geometry. Construction uses commands such as Line, Point, Polygon, Dilate, Segment, focusing on objects like Center and ScaleFactor. Suitable for high school mathematics teaching to understand geometric transformations and similarity.

GeoGebra Commands & Parameters

  1. Line(D_1, F) → l
  2. Line(E, D_1) → m
  3. Line(Center, m) → n
  4. Line(Center, l) → p
  5. Point(Circle[A, 4]) → B
  6. Polygon(A, B, C, D) → poly1, a, b, c, d
  7. Dilate(A, ScaleFactor, Center) → A'
  8. Dilate(B, ScaleFactor, Center) → B'
  9. Dilate(C, ScaleFactor, Center) → C'
  10. Dilate(D, ScaleFactor, Center) → D'
  11. Polygon(A', B', C', D') → poly1', a', b', c', d'
  12. Segment(Center, A) → f
  13. Segment(A, A') → g
  14. Segment(Center, D) → h
  15. Segment(D, D') → i
  16. Segment(Center, B) → j
  17. Segment(B, B') → k
  18. Segment(Center, C) → q
  19. Segment(C, C') → r