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Properties of Dilations by Mrs. Simon

Properties of Dilations by Mrs. Simon
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2018-11-29 10:49
TransformationGeometric Construction
This example demonstrates the effects of dilation (scaling) on geometric figures by dragging the center of dilation and the scale factor. Core concepts include geometric transformations, scale factors, and dilation properties. Constructed using GeoGebra commands like Polygon, Segment, Textfield, and Dilate. Suitable for middle school and above students learning about 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 triangle with labeled vertices, then plot a point as the center of dilation. Based on an input scale factor, dilate the triangle's vertices to form a new triangle, connecting the dilated points. Highlight the original and new triangles, draw lines from the center of dilation to corresponding vertices of both triangles, and add lines from the center to each vertex of the original and new triangles.
The prompt above was compiled from the original drawing commands and is for reference only.