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Finding the Center of Rotation

Finding the Center of Rotation
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2019-09-22 23:22
TransformationGeometric Construction
This applet demonstrates how to find the center of rotation through geometric transformations. Key mathematical concepts include rotation, intersection, and geometric transformations. Using GeoGebra commands like Polygon and Rotate, students can dynamically explore the properties of the center of rotation. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → q1, 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') → q1', a', b', c', d'
  7. Rotate(A, β, F) → A'_1
  8. Rotate(B, β, F) → B'_1
  9. Rotate(C, β, F) → C'_1
  10. Rotate(D, β, F) → D'_1
  11. Polygon(A'_1, B'_1, C'_1, D'_1) → q1'_1, a'_1, b'_1, c'_1, d'_1

AI Drawing Prompt Reference

Draw a quadrilateral, rotate it around a point by an angle to get a new quadrilateral, then rotate it again around a different point by a different angle to get another quadrilateral, demonstrating the center of rotation and the transformation relationship.
The prompt above was compiled from the original drawing commands and is for reference only.