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Rotation Exploration by GeoGebra Institute of Hong Kong

Rotation Exploration by GeoGebra Institute of Hong Kong
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2014-08-03 09:59
TrigonometryCoordinate GeometryTransformationGeometric Construction
In collections Symmetry, Transformation and Tessellation
This example demonstrates the effect of rotating a polygon on a plane. Core math concepts include geometric transformation, trigonometry, and coordinate geometry. It uses commands Polygon and Rotate, along with objects like A, B, C, D, poly1, a, b, c, d, O, t, A', B', C', D', poly1', a', b', c', d'. Suitable for high school students learning about the properties and applications of rotational transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  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. Polygon(A', B', C', D') → poly1', a', b', c', d'

AI Drawing Prompt Reference

Draw a quadrilateral ABCD, then rotate this quadrilateral around point O to form a new quadrilateral A'B'C'D'. First, draw quadrilateral ABCD, then rotate points A, B, C, and D around point O by angle t to get A', B', C', and D'.
The prompt above was compiled from the original drawing commands and is for reference only.