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Clockwise Rotation Exploration

Clockwise Rotation Exploration
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2015-02-23 23:13
Coordinate GeometryGeometric Construction
In collections Rotations
This example demonstrates the dynamic process of a polygon rotating clockwise in a plane. It involves core mathematical concepts such as rotation, angle, geometric transformation, and coordinate geometry. The construction utilizes GeoGebra commands/objects like Polygon, Intersect, Rotate, Segment, and Angle. Suitable for high school students learning geometric transformations and coordinate geometry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Intersect(xAxis, yAxis) → D
  3. Rotate(A, (-Clockwise), D) → A'
  4. Rotate(B, (-Clockwise), D) → B'
  5. Rotate(C, (-Clockwise), D) → C'
  6. Polygon(A', B', C') → poly1', c', a', b'
  7. Segment(D, A) → d
  8. Segment(D, A') → e
  9. Angle(A', D, A) → α