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Rotation Center and Angle

Rotation Center and Angle
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2018-01-10 03:08
PolygonAngleVectorTransformationGeometric Construction
This example demonstrates the process and effect of rotating a shape around a fixed point. Core math concepts include rotation center, rotation angle, vectors, and polygon construction. It is constructed using GeoGebra commands like Polygon, Rotate, Textfield, and AreEqual for dynamic visualization and interaction. Suitable for high school students learning geometric transformations, vectors, and analytical geometry, ideal for classroom instruction or self-exploration.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Rotate(A, rotateAngle, D) → A'
  3. Rotate(B, rotateAngle, D) → B'
  4. Rotate(C, rotateAngle, D) → C'
  5. Polygon(A', B', C') → poly1', c', a', b'
  6. Polygon(C', D, C) → poly2, c_1, c'_1, d
  7. Textfield() → InputBox1
  8. Rotate(B, angle, A) → B'_1
  9. Rotate(C, angle, A) → C'_1
  10. Rotate(A, angle, A) → A'_1
  11. Polygon(A'_1, B'_1, C'_1) → polyInput, c'_2, a'_1, b'_1
  12. Textfield(angle) → InputBox2
  13. AreEqual(polyInput, poly1') → correct