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Equal Area Problem

Equal Area Problem
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2016-01-18 12:15
CirclePolygonGeometric Construction
This example demonstrates the geometric construction of equal area figures. It involves core math concepts like area, linear equations, continuity, geometric constructions, equilateral triangles, and circles. The construction uses GeoGebra commands such as Polygon, PointIn, OrthogonalLine, Intersect, and Segment. Suitable for high school mathematics education to understand area transformations and geometric construction techniques.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. PointIn(poly1) → P
  3. OrthogonalLine(P, c) → e
  4. OrthogonalLine(P, b) → f
  5. Intersect(f, b) → F
  6. Intersect(e, c) → G
  7. Polygon(P, F, C, G) → poly2, e_1, f_1, c_1, g
  8. Intersect(f, d) → H
  9. Intersect(e, a) → I
  10. Polygon(P, H, A, I) → poly3, e_2, h, a_1, i
  11. Segment(D, B) → j
  12. Intersect(e, j) → E