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Dilation Demonstration by Martin Edwards

Dilation Demonstration by Martin Edwards
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2014-12-02 06:13
PolygonTransformationGeometric Construction
This example demonstrates the dilation of a polygon with a given center and scale factor, illustrating concepts of transformation, similarity, proportion, and central symmetry. It uses GeoGebra commands like Polygon, Dilate, Ray, Segment, FractionText, and Intersect with objects such as points A, B, C, polygon poly1, and scale factor Scale. Suitable for middle school and above students studying geometric transformations and properties of similar figures, or for demonstrating random experiments in probability statistics.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Dilate(A, Scale, D) → A'
  3. Dilate(B, Scale, D) → B'
  4. Dilate(C, Scale, D) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'
  6. Ray(D, A') → d
  7. Ray(D, C') → e
  8. Ray(D, B') → f
  9. Segment(D, A) → DA
  10. Segment(D, C) → DC
  11. Segment(D, B) → DB
  12. Segment(D, A') → DA'
  13. Segment(D, C') → DC'
  14. Segment(D, B') → DB'
  15. Segment(A, A') → AA'
  16. Segment(C, C') → CC'
  17. Segment(B, B') → BB'
  18. FractionText(Scale) → FractionScale
  19. FractionText(DATenth) → DAFraction
  20. FractionText(DBTenth) → DBFraction
  21. FractionText(DCTenth) → DCFraction
  22. FractionText(DA'Tenth) → DA'Fraction
  23. FractionText(DB'Tenth) → DB'Fraction
  24. FractionText(DC'Tenth) → DC'Fraction
  25. Intersect(g, h) → E
  26. Segment(D, E) → i
  27. Segment(E, A) → j
  28. Intersect(k, l) → F
  29. Segment(D, F) → m
  30. Segment(F, A') → n

AI Drawing Prompt Reference

Draw triangle ABC, then dilate it with a given scale factor centered at point D to get triangle A'B'C'. Draw rays from D to A', C', and B', and line segments from D to A, C, B, A', C', and B'. Label the scale factor and calculate the length ratios of DA, DC, DB, DA', DC', DB', AA', CC', and BB'.
The prompt above was compiled from the original drawing commands and is for reference only.