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Similarity Transformations - Dilations

Similarity Transformations - Dilations
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2015-01-21 12:22
PolygonVectorTransformationGeometric ConstructionSlider Animation
This GeoGebra example illustrates similarity transformations using a slider to demonstrate dilations. Key concepts include similar triangles and similarity transformations. Commands used include Polygon, Dilate, and Vector, creating a dynamic polygon dilation process. Suitable for middle school and above students learning similarity transformations and geometric constructions.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Dilate(A, k, D) → A'
  3. Dilate(B, k, D) → B'
  4. Dilate(C, k, D) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'
  6. Vector(D, A) → u
  7. Vector(D, B) → v
  8. Vector(D, C) → w
  9. Vector(A, A') → z
  10. Vector(B, B') → d
  11. Vector(C, C') → e

AI Drawing Prompt Reference

Illustrate similarity transformations with a slider to demonstrate dilation: draw a triangle, then scale it based on a slider value to create a similar triangle, and draw vectors from the center of dilation to the original and scaled triangle vertices to show the dilation process and similarity.
The prompt above was compiled from the original drawing commands and is for reference only.