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Graph Scaling Transformation

Graph Scaling Transformation
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2017-11-08 01:25
FunctionTransformationGeometric Construction
This example demonstrates graph scaling transformation. Key mathematical concepts include scaling factor and center point in transformation. Using GeoGebra commands such as Polygon, Dilate, Segment, etc., the effect of scaling transformation can be constructed. Suitable for students at junior high school level and above to learn geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, C, B) → t1, b, a_1, c
  2. Dilate(C, Factor, Center) → C'
  3. Dilate(B, Factor, Center) → B'
  4. Dilate(A, Factor, Center) → A'
  5. Polygon(A', C', B') → t1', b', a', c'
  6. Segment(Center, A) → g
  7. Segment(Center, A') → h
  8. Segment(Center, B) → i
  9. Segment(Center, B') → j
  10. Segment(Center, C) → k
  11. Segment(C', Center) → l

AI Drawing Prompt Reference

Draw a triangle and perform a scaling transformation on it using an external point as the center and a given scale factor. First construct the original triangle, then scale each of its three vertices from the center point to obtain the scaled triangle. Connect the center point to each original vertex and to each scaled vertex with line segments, showing the correspondence between points. The final figure displays both the original and scaled triangles, illustrating the geometric effect of scaling.
The prompt above was compiled from the original drawing commands and is for reference only.