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Symmetry Demonstration by Ισίδωρος Γλαβάς

Symmetry Demonstration by Ισίδωρος Γλαβάς
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2016-02-07 03:30
CircleProbability & Statistics
This example demonstrates the symmetry of geometric figures and its application in transformations; involves core concepts like symmetry, circle, geometric mean, rotation, stochastic process; constructed using commands like Polygon, Mirror, Segment in GeoGebra; suitable for high school mathematics teaching, combining geometric transformations with probability & statistics.

GeoGebra Commands & Parameters

  1. Polygon(B, C, D) → poly1, d, b_1, c
  2. Mirror(B, A) → B'
  3. Mirror(C, A) → C'
  4. Mirror(D, A) → D'
  5. Polygon(B', C', D') → poly1', d', b', c'
  6. Segment(B, B') → e
  7. Segment(C, C') → f
  8. Segment(D, D') → g
  9. Segment(E, F) → h
  10. Mirror(B, h) → B'_1
  11. Mirror(C, h) → C'_1
  12. Mirror(D, h) → D'_1
  13. Polygon(B'_1, C'_1, D'_1) → poly1'_1, d'_1, b'_1, c'_1
  14. Segment(B, B'_1) → i
  15. Segment(C, C'_1) → j
  16. Segment(D, D'_1) → k

AI Drawing Prompt Reference

Draw a triangle defined by three points, then create its mirror image across one vertex, and further mirror the image across the same vertex to get three triangles. Connect the corresponding vertices of the original and mirrored triangles to illustrate symmetry.
The prompt above was compiled from the original drawing commands and is for reference only.