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Explore Rotations by David Cox

Explore Rotations by David Cox
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2013-08-23 06:13
Coordinate GeometryTransformationGeometric Construction
In collections Rotations in the coordinate plane
This example demonstrates the process and properties of rotating polygons in a plane. Core math concepts include geometric transformations, rotation angles, coordinate geometry, and vectors. It uses commands/objects like Polygon, Rotate, Textfield, and Slider in GeoGebra for construction. Suitable for high school students to learn about the geometric meaning and applications of rotations.

GeoGebra Commands & Parameters

  1. Polygon(B, C, D, E, F, G) → poly1, b, c, d, e, f, g
  2. Rotate(B, α, A) → B'
  3. Rotate(C, α, A) → C'
  4. Rotate(D, α, A) → D'
  5. Rotate(E, α, A) → E'
  6. Rotate(F, α, A) → F'
  7. Rotate(G, α, A) → G'
  8. Polygon(B', C', D', E', F', G') → poly1', b', c', d', e', f', g'
  9. Textfield(α) → inputBox1

AI Drawing Prompt Reference

Draw a geometric diagram showing a polygon and its rotation, with a slider to adjust the rotation angle. Display the original polygon, its rotated image, and the path of key points during rotation, highlighting the transformation process.
The prompt above was compiled from the original drawing commands and is for reference only.