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Parallel Reflections I (Another Version)

Parallel Reflections I (Another Version)
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2017-07-12 19:11
VectorTransformationGeometric Construction
In collections Isometries
This example demonstrates the geometric phenomenon of parallel reflections. Key mathematical concepts include reflection, geometric transformations, and vectors. Using GeoGebra commands such as Line, Mirror, and Segment, the reflected shapes can be constructed. Suitable for middle school and above students to learn about reflection and transformation principles.

GeoGebra Commands & Parameters

  1. Line(y_1, P_1) → line_1
  2. Ray(y_2, y_3) → g
  3. Point(g) → P_2
  4. Line(P_2, line_1) → line_2
  5. Mirror(A, line_1) → A'
  6. Mirror(A', line_2) → A''
  7. Segment(A, A') → k
  8. Segment(A', A'') → l
  9. Point(line_1) → x_1
  10. OrthogonalLine(x_1, line_1) → i
  11. Intersect(line_2, i) → x_2
  12. Segment(x_1, x_2) → j
  13. Distance(line_1, line_2) → d
  14. Vector(A, A'') → v
  15. Mirror(B, line_1) → B'
  16. Mirror(B', line_2) → B''
  17. Vector(B, B'') → vec_B
  18. Vector(x_1, x_2) → vec_j