MathPlotAI Logo MathPlotAI

Reflections in Three Parallel Lines

Reflections in Three Parallel Lines
Loading the math board and drawing, please wait…
2016-01-18 22:01
TransformationOptimizationGeometric Construction
This example demonstrates the reflection of points and a triangle across three parallel lines, illustrating geometric transformations and linear equations. It uses commands like Polygon, Line, and Mirror in GeoGebra. Suitable for high school and above, focusing on transformations and optimization concepts.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Line(D, E) → l
  3. Line(F, l) → m
  4. Line(G, l) → n
  5. Mirror(A, l) → A'_1
  6. Mirror(B, l) → B'_1
  7. Mirror(C, l) → C'_1
  8. Polygon(A'_1, B'_1, C'_1) → poly1', c', a', b'
  9. Mirror(A'_1, m) → A''
  10. Mirror(B'_1, m) → B''
  11. Mirror(C'_1, m) → C''
  12. Polygon(A'', B'', C'') → poly1'', c'', a'', b''
  13. Mirror(A'', n) → A'
  14. Mirror(B'', n) → B'
  15. Mirror(C'', n) → C'
  16. Polygon(A', B', C') → poly1''', c''', a''', b'''