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Dilation Transformation Demo by Christina Bulen

Dilation Transformation Demo by Christina Bulen
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2017-01-17 00:27
PolygonTransformationGeometric Construction
This example demonstrates the effect of a central dilation on a shape. It involves core math concepts like central dilation, scale factor, polygons, and segment length ratios. Construction highlights include using Polygon, Segment, Textfield commands, and the Dilate command for transformation. Suitable for high school students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Segment(A, B) → d
  3. Segment(B, C) → e
  4. Segment(C, A) → f
  5. Textfield(k) → InputBox1
  6. Dilate(A, k, O) → A'
  7. Dilate(B, k, O) → B'
  8. Dilate(C, k, O) → C'
  9. Polygon(A', B', C') → poly1', c', a', b'
  10. Dilate(A, k, O) → A'_1
  11. Dilate(B, k, O) → B'_1
  12. Segment(A'_1, B'_1) → d'
  13. Dilate(B, k, O) → B'_2
  14. Dilate(C, k, O) → C'_1
  15. Segment(B'_2, C'_1) → e'
  16. Dilate(C, k, O) → C'_2
  17. Dilate(A, k, O) → A'_2
  18. Segment(C'_2, A'_2) → f'
  19. Segment(O, A') → g
  20. Segment(O, A) → h
  21. Segment(O, B) → i
  22. Segment(O, B') → j
  23. Segment(O, C') → l
  24. Segment(O, C) → m

AI Drawing Prompt Reference

Draw a central dilation transformation demo, showing a polygon and its two scaled versions to illustrate the effect of a scale factor on shape and segment lengths. Mark the center point as O, and define the original polygon with three points. The scaled polygons are derived from the original points using the scale factor. Include a text box for inputting the scale factor, and draw lines connecting the center point to the original and scaled points, as well as the corresponding sides, to clearly demonstrate the transformation relationships.
The prompt above was compiled from the original drawing commands and is for reference only.