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Exploring Reflections by Molly Potter

Exploring Reflections by Molly Potter
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2016-11-01 04:59
Coordinate GeometryTransformationGeometric Construction
This example uses GeoGebra to demonstrate reflections. Key mathematical concepts include reflection transformations. Commands used include Polygon, Line, Mirror, Distance, etc. Suitable for middle school and above students to learn about reflection transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E, F, G, H, I, J) → poly1, a, j, b, c, d, e, f, g, h, i
  2. Line(K, L) → Mirror
  3. Mirror(A, Mirror) → A'
  4. Mirror(B, Mirror) → B'
  5. Mirror(C, Mirror) → C'
  6. Mirror(D, Mirror) → D'
  7. Mirror(E, Mirror) → E'
  8. Mirror(F, Mirror) → F'
  9. Mirror(G, Mirror) → G'
  10. Mirror(H, Mirror) → H'
  11. Mirror(I, Mirror) → I'
  12. Mirror(J, Mirror) → J'
  13. Polygon(A', B', C', D', E', F', G', H', I', J') → poly1'_1, a'_1, j'_1, b'_1, c'_1, d'_1, e'_1, f'_1, g'_1, h'_1, i'_1
  14. Mirror(A, Mirror) → D16
  15. Mirror(B, Mirror) → D17
  16. Mirror(C, Mirror) → D18
  17. Mirror(D, Mirror) → D19
  18. Mirror(E, Mirror) → D20
  19. Mirror(F, Mirror) → D21
  20. Mirror(G, Mirror) → D22
  21. Mirror(H, Mirror) → D23
  22. Mirror(I, Mirror) → D24
  23. Mirror(J, Mirror) → D25
  24. Distance(C, Mirror) → l
  25. Distance(A, Mirror) → B2
  26. Distance(B, Mirror) → B3
  27. Distance(C, Mirror) → B4
  28. Distance(D, Mirror) → B5
  29. Distance(E, Mirror) → B6
  30. Distance(F, Mirror) → B7
  31. Distance(G, Mirror) → B8
  32. Distance(H, Mirror) → B9
  33. Distance(I, Mirror) → B10
  34. Distance(J, Mirror) → B11
  35. Distance(A', Mirror) → D2
  36. Distance(B', Mirror) → D3
  37. Distance(C', Mirror) → D4
  38. Distance(D', Mirror) → D5
  39. Distance(E', Mirror) → D6
  40. Distance(F', Mirror) → D7
  41. Distance(G', Mirror) → D8
  42. Distance(H', Mirror) → D9
  43. Distance(I', Mirror) → D10
  44. Distance(J', Mirror) → D11

AI Drawing Prompt Reference

Draw a nine-sided polygon and create a line as a reflection axis. Reflect each vertex of the polygon across the axis to get corresponding reflected points. Connect these reflected points to form a new nine-sided polygon. Measure and label the distances from each vertex of the original polygon to the reflection axis, and from each reflected vertex to the axis.
The prompt above was compiled from the original drawing commands and is for reference only.