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Rotating Regular Polygons

Rotating Regular Polygons
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2018-12-17 18:25
PolygonTransformation
This example demonstrates the rotation of regular polygons. Key mathematical concepts include polygons, rotation, and transformation. Using GeoGebra commands such as Polygon, Translate, and Rotation, the dynamic changes of regular polygons at different rotation angles can be shown. Suitable for middle school and above students to learn geometric transformations and dynamic graphics.

GeoGebra Commands & Parameters

  1. Polygon(P, Rotate[P, (2 * π / n), (0, 0)], n) → p, f, A, B, C, D, E, F, G, g, h, i, j, k, l, m, q
  2. Translate(Rotate[p, ((-s) * t), Centroid[p]], Vector[(0, 0), (t, 0)]) → p2
  3. Circle((t, 0), 1) → c
  4. OrthogonalLine((t, 0), xAxis) → r
  5. Intersect(r, p2) → H, I
  6. Locus(H, t) → loc1
  7. Segment((t, 0), H) → b