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Shape Dilation Demo

Shape Dilation Demo
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2016-03-21 21:35
PolygonTransformationGeometric ConstructionSlider Animation
In collections Dilation and Similarity Project: Part One
This example demonstrates how shapes transform under dilation in a coordinate system, showcasing geometric transformations, similar figures, and proportional relationships. It uses GeoGebra commands like Polygon, Dilate, Segment, and Angle. Ideal for high school students learning geometric transformations and similarity, connecting proportions with coordinate geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E, F) → poly1, a, b, c, d, e, f
  2. Dilate(A, Dilation, G) → A'
  3. Dilate(B, Dilation, G) → B'
  4. Dilate(C, Dilation, G) → C'
  5. Dilate(D, Dilation, G) → D'
  6. Dilate(E, Dilation, G) → E'
  7. Dilate(F, Dilation, G) → F'
  8. Polygon(A', B', C', D', E', F') → poly1', a', b', c', d', e', f'
  9. Segment(G, A') → g
  10. Segment(A, F) → j
  11. Segment(A', F') → k
  12. Segment(A, F) → l
  13. Segment(A', F') → m
  14. Segment(C, D) → i
  15. Segment(C', D') → n
  16. Segment(F, E) → p
  17. Segment(E, D) → q
  18. Segment(F', E') → r
  19. Segment(E', D') → s
  20. Angle(F, A, B) → α
  21. Angle(B, C, D) → β
  22. Angle(D, E, F) → γ
  23. Angle(F', A', B') → δ
  24. Angle(B', C', D') → ε
  25. Angle(D', E', F') → ζ
  26. Segment(G, B') → h
  27. Segment(G, F') → t
  28. Angle(A, B, C) → η
  29. Angle(C, D, E) → θ
  30. Angle(E, F, A) → ι
  31. Angle(C', D', E') → κ
  32. Angle(A', B', C') → λ
  33. Angle(E', F', A') → μ
  34. Segment(G, E') → a_1
  35. Segment(G, D') → b_1
  36. Segment(G, C') → c_1
  37. Segment(A, B) → d_1
  38. Segment(B, C) → e_1
  39. Segment(A', B') → f_1
  40. Segment(B', C') → g_1

AI Drawing Prompt Reference

Draw a hexagon on a coordinate plane. Choose a point outside it as the center of dilation. Create a second hexagon by dilating the original one about this center with a variable scale factor. Connect the center to each vertex of both hexagons with line segments. Also draw segments connecting corresponding vertices of the two hexagons. Label all interior angles of both hexagons to show they are equal, and display the proportional side lengths between the original and dilated figures.
The prompt above was compiled from the original drawing commands and is for reference only.