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Dilation Demonstration by Terry Lee Lindenmuth

Dilation Demonstration by Terry Lee Lindenmuth
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2016-01-10 04:04
TransformationGeometric ConstructionSlider Animation
This example is used to explore and demonstrate dilations. It involves the concept of similarity transformations in geometry. Using GeoGebra commands such as Polygon, Dilate, Segment, Distance, and Midpoint, similar transformations can be constructed. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E) → poly1, a, b, c, d, e
  2. Dilate(A, DilationFactor, Center) → A'
  3. Dilate(B, DilationFactor, Center) → B'
  4. Dilate(C, DilationFactor, Center) → C'
  5. Dilate(D, DilationFactor, Center) → D'
  6. Dilate(E, DilationFactor, Center) → E'
  7. Polygon(A', B', C', D', E') → poly1', a', b', c', d', e'
  8. Segment(E, Center) → g
  9. Segment(Center, E') → h
  10. Distance(E, Center) → distanceEG
  11. Midpoint(E, Center) →
  12. Distance(E', Center) → distanceE'G
  13. Midpoint(E', Center) →
  14. Distance(Center, E) → distanceCenterE
  15. Midpoint(Center, E) →
  16. Distance(Center, E') → distanceCenterE'
  17. Midpoint(Center, E') →