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Draw Reflection Line

Draw Reflection Line
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2018-02-09 01:06
FunctionTransformationGeometric Construction
This example demonstrates how to draw a reflection line. The core mathematical concepts involved are reflection transformations. Using GeoGebra commands such as Polygon, Mirror, and Sequence, the reflection effect can be constructed. Suitable for students at junior high school level and above to learn about reflection transformations.

GeoGebra Commands & Parameters

  1. Polygon((24.3, 20), (40, 20), (40, -5), (24.3, -5)) → RightBox, j, k, l, m
  2. Polygon((-5, 16.2), (40, 16.2), (40, 20), (-5, 20)) → TopBox, f, g, h, i
  3. Polygon(A, B, C, D) → ABCD, a, b, c, d
  4. Mirror(A, ans) → A'
  5. Mirror(B, ans) → B'
  6. Mirror(C, ans) → C'
  7. Mirror(D, ans) → D'
  8. Polygon(A', B', C', D') → ABCD1, a', b', c', d'
  9. Sequence((0, j), j, 0, 16, 1) → GridSpace1
  10. Point(GridSpace1) → H1
  11. Segment(H1, H2) → Horiz
  12. Sequence((j, 0), j, 0, 24, 1) → GridSpace2
  13. Point(GridSpace2) → V1
  14. Segment(V1, V2) → Vert
  15. Intersect(Axis, ans) → AnsPt