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Similarity Transformation Demo

Similarity Transformation Demo
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2019-11-13 00:29
MatrixTransformationGeometric Construction
This example demonstrates the similarity transformation (scaling) of a polygon in a coordinate system. It involves core math concepts like similarity transformation, matrices, distance calculation, and geometric construction. Key GeoGebra commands used include Polygon, Dilate, Ray, and Distance. Suitable for high school students learning about the properties of geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(B, C, D) → poly1, d, b, c
  2. Dilate(B, a, A) → B'
  3. Dilate(C, a, A) → C'
  4. Dilate(D, a, A) → D'
  5. Polygon(B', C', D') → poly1', d', b', c'
  6. Ray(A, D) → e
  7. Ray(A, B) → f
  8. Ray(A, C) → g
  9. Distance(A, D) → distanceAD
  10. Distance(A, D') → distanceAD'
  11. Distance(A, B) → distanceAB
  12. Distance(A, B') → distanceAB'
  13. Distance(A, C) → distanceAC
  14. Distance(A, C') → distanceAC'

AI Drawing Prompt Reference

Draw a polygon in a coordinate system, then scale it from a point to create a similar polygon. Extend rays from the center to each vertex of the original polygon and measure the distances from the center to all vertices before and after scaling to illustrate the relationships and ratios in the similarity transformation.
The prompt above was compiled from the original drawing commands and is for reference only.