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Regular Polygons Construction and Properties

Regular Polygons Construction and Properties
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2017-12-22 21:36
PolygonVectorTransformation
In collections Mathematics Form 2
This example demonstrates how to construct regular polygons using GeoGebra and illustrates their symmetry properties. Key math concepts include polygons, rotation, translation, vectors, and geometric transformations. Construction highlights involve commands like Circle, Point, Sequence, Rotate, Translate, and objects such as Join and Polygon. Suitable for high school mathematics education to understand polygon construction, properties, and applications of geometric transformations.

GeoGebra Commands & Parameters

  1. SelectedIndex(Bahasa) → nn
  2. Circle(O, r) → c
  3. Point(c) → A
  4. Sequence(Rotate[A, ((p * 360 / n))°, O], p, 0, n) → Bucu
  5. Sequence(Segment[Bucu(p), Bucu(p + 1)], p, 1, n) → Sisi
  6. Circle(A, s) → d
  7. Intersect(d, Sisi(1), A) → B
  8. Intersect(d, Sisi(-1), A) → C
  9. CircleSector(A, B, C) → e
  10. Sequence(Rotate[e, ((p * 360 / n))°, O], p, 0, n) → Sudut
  11. Join(Sequence[{Line[Bucu(p), O], Line[Midpoint[Bucu(p), Bucu(p + 1)], O]}, p, 1, n]) → PSimetri
  12. If(nn ≟ 1, {"Side length", "Interior angles", "Axes of symmetry"}, {"Panjang sisi", "Sudut pedalaman", "Paksi simetri"}) → Pilihan
  13. SelectedIndex(Pilihan) → k
  14. Polygon(Bucu) → Poly
  15. Sequence(Vector[Bucu(p), Bucu(p + 1)], p, 1, n) → Vektor
  16. If(k ≟ 1, 0.01, k ≟ 2, 0.1, k ≟ 3, 0.5) → t
  17. Sequence(PSimetri(p), p, 1, f) → TunjukSimetri
  18. Rotate(Sudut(f), (((m - f) * 360 / n))°, Bucu(f)) → CurSudut
  19. Translate(CurSudut, ((m - f) * Vektor(f))) → CurSektor
  20. Rotate(Sisi(f), ((-((((m - f) * (n - 2)) * 180 / n))))°, Bucu(f + 1)) → CurSegment