MathPlotAI Logo MathPlotAI

Dilation Properties

Dilation Properties
Loading the math board and drawing, please wait…
2013-01-28 08:40
TriangleTransformationGeometric Construction
In collections Investigating Dilation
This applet dynamically demonstrates the basic properties of dilation. Key mathematical concepts include similarity transformation and parallelograms. Using GeoGebra commands such as Polygon, Dilate, Ray, etc., students can observe and explore the effects of dilation on geometric figures. 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, 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. Denominator(Scale) → ScaleDenom
  26. Numerator(Scale) → ScaleNumer
  27. Angle(B, A, C) → α
  28. Angle(B', A', C') → β
  29. Angle(C', B', A') → γ
  30. Angle(C, B, A) → δ
  31. Segment(A, A') → AA'_2

AI Drawing Prompt Reference

Draw a triangle with its vertices dilated from a center point by a scale factor, connecting the center to the dilated points with rays, and the center to the original points with segments, labeling the scale factor and angles to demonstrate similarity and dilation properties.
The prompt above was compiled from the original drawing commands and is for reference only.