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Squares and Rectangles

Squares and Rectangles
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2017-04-28 20:26
PolygonCoordinate GeometryGeometric Construction
This example demonstrates the geometric properties and relationships of squares and rectangles. It involves core concepts like quadrilaterals, intersections, hyperbolas, ellipses, upper and lower sums or Riemann sums. Construction highlights include using GeoGebra commands such as Circle, Segment, OrthogonalLine, Intersect, Line, Point, and Polygon. Suitable for high school mathematics teaching, focusing on analytical geometry and geometric construction.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Segment(A, B) → f
  3. OrthogonalLine(B, f) → g
  4. OrthogonalLine(A, f) → h
  5. Intersect(c, h, 2) → C
  6. Line(C, f) → i
  7. Intersect(g, i) → D
  8. Segment(B, D) → j
  9. Segment(D, C) → k
  10. Segment(C, A) → l
  11. Segment(E, F) → m
  12. OrthogonalLine(E, m) → n
  13. OrthogonalLine(F, m) → p
  14. Point(n) → G
  15. Line(G, m) → q
  16. Intersect(p, q) → H
  17. Segment(G, E) → r
  18. Segment(G, H) → s
  19. Segment(H, F) → t
  20. Polygon(D, C, A, B) → poly1, d, c_1, a, b
  21. Polygon(G, E, F, H) → poly2, g_1, e, f_1, h_1