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U1D7 Symmetry - Regular Polygons

U1D7 Symmetry - Regular Polygons
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2018-09-27 22:27
PolygonAngleTransformationGeometric Construction
This example demonstrates the symmetry of regular polygons, dynamically constructing their symmetry axes, central symmetry, and other properties. Core math concepts include symmetry, regular polygons, central symmetry, and geometric transformations. It uses commands like Polygon, Centroid, Line, Mirror, Circle, Intersect, Segment, Point, Angle, and Rotate. Suitable for middle school and above mathematics education to understand geometric transformations and symmetry.

GeoGebra Commands & Parameters

  1. Polygon(A, B, n) → poly1, a, j, k, l, C, D, E, F, G, H, I, b, J, K, L, c, d, e, f, g, h, i
  2. Centroid(poly1) → O
  3. Line(M, N) → line1
  4. Mirror(poly1, line1) → poly2
  5. Circle(S, 1.5) → p
  6. Intersect(p, Line[S, y = 0], 2) → Q
  7. Segment(S, Q) → m
  8. Point(p) → R
  9. Segment(S, R) → q
  10. Angle(Q, S, R) → angleRotation
  11. Rotate(poly1, angleRotation, O) → poly3
  12. Intersect(Circle[O, A], Line[O, A], 2) → P
  13. Rotate(P, angleRotation, O) → P'