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Exploring Polygon Reflections and Geometric Transformations

Exploring Polygon Reflections and Geometric Transformations
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2016-02-16 08:10
PolygonCoordinate GeometryTransformationGeometric Construction
In collections Geometry Transformations
This GeoGebra example demonstrates the reflection of a polygon across a line. Key concepts include geometric transformations, symmetry, and coordinate geometry. Construction utilizes the Polygon command to define vertices A, B, C and the Mirror command to generate reflected images A', B', C'. It visualizes how shapes change under reflection while maintaining congruence. Suitable for high school geometry students and educators exploring rigid transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b_1
  2. Mirror(A, d) → A'
  3. Mirror(B, d) → B'
  4. Mirror(C, d) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'
  6. Mirror(A, e) → A'_2
  7. Mirror(B, e) → B'_2
  8. Mirror(C, e) → C'_2
  9. Polygon(A'_2, B'_2, C'_2) → poly1'_1, c'_1, a'_1, b'_1
  10. Mirror(A, f) → A'_3
  11. Mirror(B, f) → B'_3
  12. Mirror(C, f) → C'_3
  13. Polygon(A'_3, B'_3, C'_3) → poly1'_2, c'_2, a'_2, b'_2
  14. Mirror(A, g) → A'_4
  15. Mirror(B, g) → B'_4
  16. Mirror(C, g) → C'_4
  17. Polygon(A'_4, B'_4, C'_4) → poly1'_3, c'_3, a'_3, b'_3