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Rotations of Polygons

Rotations of Polygons
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2013-09-24 22:05
PolygonAngleCoordinate Geometry
In collections Rotations
This example demonstrates the rotation transformation of polygons around the origin. It involves core mathematical concepts such as rotation, angle, geometric transformation, and coordinate geometry. The construction uses GeoGebra commands and objects like Polygon, Rotate, Segment, and Angle. Suitable for high school students learning geometric transformations and coordinate geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Rotate(A, α, O) → A'
  3. Rotate(B, α, O) → B'
  4. Rotate(C, α, O) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'
  6. Segment(A, O) → d
  7. Segment(A', O) → e
  8. Angle(A, O, A') → β
  9. Segment(C', O) → g
  10. Segment(O, C) → h
  11. Angle(C, O, C') → γ
  12. Segment(B', O) → i
  13. Segment(O, B) → j
  14. Angle(B, O, B') → δ

AI Drawing Prompt Reference

Draw a polygon and rotate it around the origin by an angle to show the original and rotated polygons. Connect each vertex to the origin and label the rotation angle and the angles formed by the vertices of the polygons with the origin.
The prompt above was compiled from the original drawing commands and is for reference only.