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Exploring Dilations on the Coordinate Plane

Exploring Dilations on the Coordinate Plane
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2017-02-21 08:51
FunctionCoordinate GeometryTransformation
This example demonstrates dilations on the coordinate plane. Key mathematical concepts include similarity transformations, scale factors, and centers. Using GeoGebra commands such as Polygon, Dilate, and Segment, you can observe the effects of scaling shapes. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

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