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Coordinates and Rotations

Coordinates and Rotations
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2013-10-30 02:53
VectorCoordinate GeometryTransformationGeometric ConstructionSlider Animation
In collections Rotations in the coordinate plane
This example demonstrates how coordinates change after a figure is translated by a vector, involving core concepts like vectors, rotations, and coordinate geometry. It uses GeoGebra commands such as Polygon and Rotate to construct and rotate shapes, suitable for high school students learning geometric transformations and coordinate geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Rotate(A, α, E) → A'
  3. Rotate(B, α, E) → B'
  4. Rotate(C, α, E) → C'
  5. Rotate(D, α, E) → D'
  6. Polygon(A', B', C', D') → poly1', a', b', c', d'

AI Drawing Prompt Reference

Draw a quadrilateral ABCD, then rotate it around point E by angle α. First, draw quadrilateral ABCD, then rotate points A, B, C, and D to get A', B', C', and D', and finally draw the rotated quadrilateral A'B'C'D'.
The prompt above was compiled from the original drawing commands and is for reference only.