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Reflecting over Parallel Lines

Reflecting over Parallel Lines
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2015-11-24 22:43
Coordinate GeometryTransformationGeometric Construction
This example demonstrates reflecting a figure over two parallel lines, resulting in the same outcome as a translation. Key concepts include reflection and translation. It uses commands like Polygon, Line, Mirror, Segment, and Intersect in GeoGebra. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Line(E, F) → e
  3. Mirror(A, e) → A'
  4. Mirror(B, e) → B'
  5. Mirror(C, e) → C'
  6. Mirror(D, e) → D'
  7. Polygon(A', B', C', D') → poly1', a', b', c', d'
  8. Line(G, e) → f
  9. Mirror(A', f) → A''
  10. Mirror(B', f) → B''
  11. Mirror(C', f) → C''
  12. Mirror(D', f) → D''
  13. Polygon(A'', B'', C'', D'') → poly1'', a'', b'', c'', d''
  14. Segment(A, A'') → g
  15. Intersect(e, g) → H
  16. Intersect(f, g) → I
  17. Segment(A, H) → h
  18. Segment(H, A') → i
  19. Segment(A', I) → j
  20. Segment(I, A'') → k