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Reflections in Parallel Lines

Reflections in Parallel Lines
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2019-11-25 09:42
PolygonCoordinate GeometryTransformationGeometric Construction
This example demonstrates the reflection of a polygon across parallel lines and the resulting拼接 effect. It involves core math concepts like reflection, geometric transformations, polygon properties, and parallel line characteristics. The construction uses GeoGebra commands and objects such as Line, Point, Polygon, and Mirror. Suitable for high school students learning geometric transformations, symmetry, and the application of dynamic geometry software.

GeoGebra Commands & Parameters

  1. Line(D, E) → a
  2. Line(F, a) → j
  3. Point(j) → G
  4. Line(F, G) → b
  5. Polygon(A, B, C) → poly1, g, e, f
  6. Mirror(A, a) → A'
  7. Mirror(B, a) → B'
  8. Mirror(C, a) → C'
  9. Polygon(A', B', C') → poly1', g', e', f'
  10. Mirror(A', b) → A''
  11. Mirror(B', b) → B''
  12. Mirror(C', b) → C''
  13. Polygon(A'', B'', C'') → poly1'', g'', e'', f''