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Rotation Transformation Demo by linfanca

Rotation Transformation Demo by linfanca
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2012-11-13 10:11
Coordinate GeometryTransformationGeometric Construction
In collections Rotations Rotations
This example demonstrates how the coordinates of a polygon change when subjected to rotation transformations in a coordinate system. It involves core mathematical concepts like coordinate transformation, rotation, and geometric construction. Key GeoGebra commands and objects used include Polygon and Rotate. Suitable for high school students to learn and understand the properties of rotation transformations, as well as for teaching demonstrations in analytical geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Rotate(A, 90*°, E) → A'
  3. Rotate(B, 90*°, E) → B'
  4. Rotate(C, 90*°, E) → C'
  5. Rotate(D, 90*°, E) → D'
  6. Polygon(A', B', C', D') → poly1', a', b', c', d'
  7. Rotate(A, 180*°, E) → A'_1
  8. Rotate(B, 180*°, E) → B'_1
  9. Rotate(C, 180*°, E) → C'_1
  10. Rotate(D, 180*°, E) → D'_1
  11. Polygon(A'_1, B'_1, C'_1, D'_1) → poly1'_1, a'_1, b'_1, c'_1, d'_1
  12. Rotate(A, 270*°, E) → A'_3
  13. Rotate(B, 270*°, E) → B'_3
  14. Rotate(C, 270*°, E) → C'_3
  15. Rotate(D, 270*°, E) → D'_3
  16. Polygon(A'_3, B'_3, C'_3, D'_3) → poly1'_3, a'_3, b'_3, c'_3, d'_3