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Rotational Symmetry by FLee

Rotational Symmetry by FLee
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2017-11-01 13:59
PolygonAngleTransformationGeometric Construction
This example demonstrates the rotational symmetry of polygons by rotating a central point and setting an angle to observe the symmetric changes of the figure. Core mathematical concepts include rotational symmetry, angles, and geometric transformations. It uses commands and objects like Polygon, Rotate, Circle, Point, and Angle in GeoGebra. Suitable for middle school students and above to learn geometric transformations and symmetry, or for mathematical teaching demonstrations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D, E) → poly1, a, b, c, d, e
  2. Prism(poly1, 12) → g, F, face5, face6, edge1, edge2, edge3, edge4, edge5, edge6, edge7, edge8, G, edge9, edge10, H, I, J, face1, face2, face3, face4
  3. Line(L, K) → f
  4. Circle(f, F) → h
  5. Point(h) → M
  6. Angle(F, L, M, h) → α
  7. Rotate(g, α, f) → g'