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Reflect an Object through Two Parallel Lines

Reflect an Object through Two Parallel Lines
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2016-01-27 23:07
Coordinate GeometryTransformationGeometric Construction
In collections IMP2GBD Geometry Transformation Maths for 8th Grade Units 1 to 3 Learn with Lindy: Transformations Intro
This example demonstrates how to reflect an object through two parallel lines. The key mathematical concept involved is geometric transformations, specifically reflection. Using GeoGebra commands such as Line, Polygon, Mirror, Segment, OrthogonalLine, and Intersect, the reflection can be constructed. Suitable for students at the middle school level and above who are learning about geometric transformations.

GeoGebra Commands & Parameters

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