MathPlotAI Logo MathPlotAI

Dilation and Inverse Function

Dilation and Inverse Function
Loading the math board and drawing, please wait…
2015-01-28 11:03
FunctionGeometric Construction
This example demonstrates the concepts of dilation and inverse functions. By adjusting the scaling factor, the process of similar transformation can be observed. Key mathematical concepts include similar transformation and inverse functions. GeoGebra commands used include Polygon, Dilate, and Textfield. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Dilate(A, k, P) → A'
  3. Dilate(B, k, P) → B'
  4. Dilate(C, k, P) → C'
  5. Dilate(D, k, P) → D'
  6. Polygon(A', B', C', D') → poly1', a', b', c', d'
  7. Textfield(m) → inputBox1
  8. Dilate(A', m, P) → A''
  9. Dilate(B', m, P) → B''
  10. Dilate(C', m, P) → C''
  11. Dilate(D', m, P) → D''
  12. Polygon(A'', B'', C'', D'') → poly1'', a'', b'', c'', d''

AI Drawing Prompt Reference

Draw a quadrilateral, then scale it from a point to get a similar quadrilateral, and further scale this similar quadrilateral using an input factor to get another similar quadrilateral, demonstrating the concept of similarity transformation and inverse functions.
The prompt above was compiled from the original drawing commands and is for reference only.