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Reflections by TBignell

Reflections by TBignell
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2019-04-03 22:30
PolygonTransformationGeometric Construction
In collections Geometry workbook
This example demonstrates the concept of reflection transformation. Using the Polygon and Mirror commands in GeoGebra, you can observe the reflection effect of shapes on a line. Key mathematical concepts include reflection transformation and symmetry. The construction involves using the Polygon command to draw polygons and the Mirror command for reflection transformation. Suitable for students at the junior high school level and above to learn geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E, F) → poly1, a, b, c, d, e, f_1
  2. Mirror(A, f) → A'
  3. Mirror(B, f) → B'
  4. Mirror(C, f) → C'
  5. Mirror(D, f) → D'
  6. Mirror(E, f) → E'
  7. Mirror(F, f) → F'
  8. Polygon(A', B', C', D', E', F') → poly1', a', b', c', d', e', f'
  9. Mirror(A, h) → A'_1
  10. Mirror(B, h) → B'_1
  11. Mirror(C, h) → C'_1
  12. Mirror(D, h) → D'_1
  13. Mirror(E, h) → E'_1
  14. Mirror(F, h) → F'_1
  15. Polygon(A'_1, B'_1, C'_1, D'_1, E'_1, F'_1) → poly1'_1, a'_1, b'_1, c'_1, d'_1, e'_1, f'_1
  16. Mirror(A, g) → A'_2
  17. Mirror(B, g) → B'_2
  18. Mirror(C, g) → C'_2
  19. Mirror(D, g) → D'_2
  20. Mirror(E, g) → E'_2
  21. Mirror(F, g) → F'_2
  22. Polygon(A'_2, B'_2, C'_2, D'_2, E'_2, F'_2) → poly1'_2, a'_2, b'_2, c'_2, d'_2, e'_2, f'_2

AI Drawing Prompt Reference

Draw a hexagon and a line. Reflect the hexagon over the line to get the first reflected hexagon. Then reflect the original hexagon over another line parallel to the first one to get the second reflected hexagon. Finally, reflect it over a third line parallel to both previous lines to get the third reflected hexagon. Show all hexagons and reflection processes to demonstrate the concept of reflection transformation.
The prompt above was compiled from the original drawing commands and is for reference only.