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Dilation and Length

Dilation and Length
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2016-03-23 01:37
FunctionTransformationGeometric Construction
In collections Dilation and Similarity Project: Part One
This example demonstrates the concept of dilation and its effect on length. Key mathematical concepts include dilation, linear functions, and exponential functions. Using GeoGebra commands such as Point, Segment, and Dilate, the example constructs dilated figures. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 1]) → B
  2. Segment(A, B) → a_2
  3. OrthogonalLine(B, a_2) → b_2
  4. Circle(B, 2) → c_2
  5. Intersect(c_2, b_2, 1) → C
  6. Circle(A, 3) → d_2
  7. OrthogonalLine(A, a_2) → e_2
  8. Intersect(d_2, e_2, 1) → D
  9. Circle(C, 1) → f_2
  10. OrthogonalLine(C, b_2) → g
  11. Intersect(f_2, g, 1) → E
  12. OrthogonalLine(E, g) → h
  13. OrthogonalLine(D, e_2) → i
  14. Intersect(h, i) → F
  15. Polygon(A, B, C, E, F, D) → poly1, a_1, b, c, e, f, d
  16. Dilate(A, Dilation, G) → A'
  17. Dilate(B, Dilation, G) → B'
  18. Dilate(C, Dilation, G) → C'
  19. Dilate(E, Dilation, G) → E'
  20. Dilate(F, Dilation, G) → F'
  21. Dilate(D, Dilation, G) → D'
  22. Polygon(A', B', C', E', F', D') → poly1', a', b', c', e', f', d'
  23. Segment(A, B) → a