MathPlotAI Logo MathPlotAI

Dilations (Part 1)

Dilations (Part 1)
Loading the math board and drawing, please wait…
2016-02-04 20:48
CircleTransformationGeometric Construction
This example demonstrates dilations in similarity transformations. Key mathematical concepts include dilations and circles. Using GeoGebra commands such as Segment, Intersect, and Dilate, the example constructs enlarged or reduced figures. Suitable for middle or high school students learning about dilations.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(C, D) → b
  3. Segment(B, C) → c
  4. Segment(D, A) → d
  5. Intersect(xAxis, yAxis) → E
  6. Dilate(A, 3, E) → A'
  7. Dilate(B, 3, E) → B'
  8. Segment(A', B') → a'
  9. Dilate(B, 3, E) → B'_1
  10. Dilate(C, 3, E) → C'
  11. Segment(B'_1, C') → c'
  12. Dilate(C, 3, E) → C'_1
  13. Dilate(D, 3, E) → D'
  14. Segment(C'_1, D') → b'
  15. Dilate(D, 3, E) → D'_1
  16. Dilate(A, 3, E) → A'_1
  17. Segment(D'_1, A'_1) → d'
  18. Dilate(FreePoint, 3, E) → FreePoint'