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Rotation Exploration

Rotation Exploration
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2018-04-12 14:23
PolygonCoordinate GeometryTransformationGeometric Construction
This example demonstrates the process and effect of rotating polygons in a plane, involving core math concepts like rotation transformation, polygon properties, angle measurement, and coordinate geometry. It utilizes commands such as Polygon, Rotate, and Segment in GeoGebra. Suitable for high school students learning geometric transformations, function graphs, and analytical geometry, or for math club explorations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E, F) → poly1, a, b, c, d, e, f
  2. Rotate(A, t, O) → A'
  3. Rotate(B, t, O) → B'
  4. Rotate(C, t, O) → C'
  5. Rotate(D, t, O) → D'
  6. Rotate(E, t, O) → E'
  7. Rotate(F, t, O) → F'
  8. Polygon(A', B', C', D', E', F') → poly1', a', b', c', d', e', f'
  9. Rotate(P, t, O) → P'
  10. Segment(P, O) → g
  11. Segment(O, P') → h
  12. Rotate(list1, t, O) → list1'