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Rotate a Point About the Origin

Rotate a Point About the Origin
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2020-05-28 21:49
Coordinate GeometryTransformationSlider Animation
In collections Transformations and Symmetry
This example demonstrates the rotation of a point 90 degrees counterclockwise about the origin. The key mathematical concept is rotation transformation. By adjusting the angle with a slider, you can observe the path of the point. The construction uses the commands Intersect, Point, and Rotate. Suitable for middle school and above students learning geometric transformations.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → B
  2. Point(xAxis) → A
  3. Rotate(A, α, B) → A'

AI Drawing Prompt Reference

Draw a point A on the x-axis and rotate it 90 degrees counterclockwise around the origin O to get point A'. Adjust the angle with a slider to observe the path of point A.
The prompt above was compiled from the original drawing commands and is for reference only.