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Dilations - Scale Factor

Dilations - Scale Factor
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2020-10-01 21:54
TrianglePolygonTransformationGeometric Construction
This example demonstrates scaling transformations in geometric figures. Key mathematical concepts include similarity, scale factor, and proportional scaling. Construction involves GeoGebra commands such as Polygon, Dilate, and Segment to create scaled shapes. Suitable for middle or high school mathematics to understand geometric transformations and proportional relationships.

GeoGebra Commands & Parameters

  1. Polygon(A, C, B) → ABC, Line_{AC}, Line_{BC}, Line_{AB}
  2. Dilate(A, k, CoD) → A'
  3. Dilate(C, k, CoD) → C'
  4. Dilate(B, k, CoD) → B'
  5. Polygon(A', C', B') → A'B'C', Line_{A'C'}, Line_{B'C'}, Line_{A'B'}
  6. Segment(CoD, A') → Line_{Cod-A'}
  7. Segment(CoD, B') → Line_{Cod-B'}
  8. Segment(CoD, C') → Line_{Cod-C'}
  9. Segment(CoD, A) → Line_{CoD-A}
  10. Segment(CoD, B) → Line_{CoD-B}
  11. Segment(CoD, C) → Line_{CoD-C}

AI Drawing Prompt Reference

Draw a triangle ABC, then dilate it with a scale factor k centered at point CoD to create triangle A'B'C'. First, draw triangle ABC, then draw triangle A'B'C' after dilation, and mark the corresponding sides and center point CoD.
The prompt above was compiled from the original drawing commands and is for reference only.