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Similar Transformations of Shapes

Similar Transformations of Shapes
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2019-11-13 00:29
FunctionCoordinate GeometryTransformation
This example demonstrates similar transformations of shapes, involving key mathematical concepts such as similar transformations, function graphs, and integer operations. Using GeoGebra commands like Polygon, Dilate, Ray, etc., similar transformed shapes can be constructed. Suitable for students at junior high school level and above to learn the concepts and applications of similar 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 triangle with three vertices labeled as start, middle, and end. From the start point, scale the triangle by a fixed ratio to create three new corresponding points, then connect these new points to form a second triangle similar to the original. Draw rays from the start point through each original vertex, which will pass through the corresponding new vertices. Also measure and display the distances from the start point to each original vertex and each new vertex to show the scaling relationship.
The prompt above was compiled from the original drawing commands and is for reference only.