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Equalize Parallelogram Area to Rectangular Area

Equalize Parallelogram Area to Rectangular Area
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2017-10-23 20:05
PolygonVectorTrigonometryGeometric Construction
This example demonstrates how to adjust the side lengths and angles of a parallelogram to make its area equal to that of a rectangle. Key mathematical concepts include trigonometry and vectors. It is constructed using GeoGebra commands such as Intersect, Segment, OrthogonalLine, etc. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Segment(A, B) → c
  3. OrthogonalLine(D, c) → h
  4. Line(A, B) → q
  5. Intersect(h, q) → F
  6. Segment(A, F) → n
  7. Segment(A, D) → d
  8. Vector(A, D) → u
  9. Segment(B, C) → e
  10. Segment(D, C) → f
  11. Segment(A, B) → g
  12. Segment(D, F) → i
  13. Intersect(j, xAxis) → H
  14. Vector(F, H) → v
  15. Vector(F, S) → l
  16. Polygon(D, F, A) → çokgen1, a_1, d_1, f_1
  17. Translate(D, l) → D'
  18. Translate(F, l) → F'
  19. Translate(A, l) → A'
  20. Polygon(D', F', A') → çokgen1', a', d', f'
  21. Segment(D, A) → m
  22. Polygon(D, F, S, C) → çokgen2, d_2, f_2, s, c_1
  23. Segment(F, B) → r
  24. Angle(F, A, D) → γ_1