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Rotation Transformation of a Polygon

Rotation Transformation of a Polygon
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2015-01-24 03:19
PolygonAngleTransformationGeometric Construction
① This example demonstrates how to rotate a polygon around a given point using a rotation transformation, showing the relationship between the original and rotated shapes dynamically. ② The core mathematical concepts include rotation transformations, angle measurement, arc calculation, coordinate geometry transformations, and related geometric properties. ③ The construction uses commands such as Polygon, Rotate, Segment, and Arc, creating the original polygon poly1 and the rotated polygon poly2, with interactive buttons and angle sliders for control. ④ It is suitable for high school geometry and mathematical modeling courses, and can also serve as an auxiliary tool for middle school geometry intuition teaching.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, b, c, d
  2. Rotate(A, a, O) → A'
  3. Rotate(B, a, O) → B'
  4. Rotate(C, a, O) → C'
  5. Rotate(D, a, O) → D'
  6. Polygon(Rotate[A, a, O], Rotate[B, a, O], Rotate[C, a, O]) → poly2, e, f, g
  7. Segment(O, A) → a2
  8. Segment(O, A') → a3
  9. Segment(O, C) → c2
  10. Segment(O, C') → c3
  11. Arc(Circle[O, A], A, A') → a1
  12. Arc(Circle[O, C], C, C') → c1