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Use Transformations to Copy Green onto Red

Use Transformations to Copy Green onto Red
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2016-06-20 01:40
Coordinate GeometryTransformationGeometric Construction
In collections IMP2GBD Geometry Transformation
This example demonstrates how to use transformations to copy a green shape onto a red shape. Key mathematical concepts include reflection, rotation, and translation. Using GeoGebra commands such as Polygon, Mirror, and Rotate, the transformation of shapes is achieved. Suitable for students at the junior high school level and above, focusing on geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Mirror(A, E) → A'
  3. Mirror(B, E) → B'
  4. Mirror(C, E) → C'
  5. Mirror(D, E) → D'
  6. Polygon(A', B', C', D') → poly1', a', b', c', d'
  7. Rotate(A', 45°, D') → A''
  8. Rotate(B', 45°, D') → B''
  9. Rotate(C', 45°, D') → C''
  10. Rotate(D', 45°, D') → D''
  11. Polygon(A'', B'', C'', D'') → poly1'', a'', b'', c'', d''