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Hexagon Construction and Properties

Hexagon Construction and Properties
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2017-05-15 06:04
CirclePolygonFunctionCoordinate GeometryGeometric Construction
In collections Compass and Straightedge Constructions
This example demonstrates how to construct a hexagon using GeoGebra and explore its fundamental properties. Key math concepts include polygons, circles, secant lines, equations, and piecewise functions. Construction highlights involve commands like Intersect, Point, Circle, Line, and Polygon. Suitable for high school mathematics instruction or student exploration of geometric properties.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Circle(A, B) → c
  4. Circle(B, A) → d
  5. Line(B, A) → f
  6. Intersect(c, f, 2) → C
  7. Circle(C, A) → e
  8. Intersect(c, e, 2) → D
  9. Intersect(c, d, 1) → E
  10. Intersect(c, e, 1) → F
  11. Intersect(c, d, 2) → G
  12. Polygon(D, E, B, G, F, C) → poly1, d_1, e_1, b, g, f_1, c_1