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Heptagon - Rotational Symmetry

Heptagon - Rotational Symmetry
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2018-05-07 10:14
PolygonAngleTransformation
This example demonstrates the rotational symmetry of a heptagon. Key mathematical concepts include rotation symmetry and polygons. Using GeoGebra commands such as Line, Circle, Point, Rotate, Angle, and Polygon, a heptagon is constructed and its rotational symmetry is observed. Suitable for middle school and above students or teachers for teaching purposes.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Circle(A, B) → c
  3. Point(c) → C
  4. Rotate(C, 51.4286°, A) → C'
  5. Angle(C, A, C') → α
  6. Polygon(C, C', 7) → poly1, g, F, G, H, h, i, j, k, l, m, D, E
  7. Point(c) → I
  8. Rotate(I, 51.4286°, A) → I'
  9. Angle(I, A, I') → β
  10. Polygon(I, I', 7) → poly2, n, L, M, N, p, q, r, s, t, a, J, K
  11. Angle(L, A, F) → γ