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Exploring Reflections by Mr. Watson

Exploring Reflections by Mr. Watson
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2016-02-16 08:11
PolygonCoordinate GeometryGeometric Construction
In collections Geometry Transformations
This example demonstrates the transformation of a polygon after reflection, involving core mathematical concepts like reflection, coordinate geometry, and geometric transformations. It utilizes GeoGebra commands such as Polygon, Mirror, Slope, and various objects like points A, B, C, and sliders for interactive exploration. Suitable for high school students learning geometric transformations and coordinate geometry, this activity helps visualize and understand the properties and applications of reflection 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