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Rhombus and Square Construction by osimmonds41 (2)

Rhombus and Square Construction by osimmonds41 (2)
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2016-10-04 00:00
PolygonCoordinate GeometrySolid GeometryDerivativeGeometric Construction
This example demonstrates the geometric construction of rhombuses and squares, highlighting their relationships. Key math concepts include polygons, coordinate geometry, derivatives, and volume calculations. The construction utilizes GeoGebra commands such as Circle, Point, Intersect, Segment, Distance, OrthogonalLine, and Midpoint as outlined in the summary. Suitable for high school and above, it aids in understanding geometric constructions and function applications.

GeoGebra Commands & Parameters

  1. Circle(A, D) → c
  2. Point(c) → B
  3. Circle(B, A) → d
  4. Circle(D, A) → e
  5. Intersect(d, e, 2) → C
  6. Segment(A, B) → f
  7. Segment(B, C) → g
  8. Segment(A, D) → h
  9. Segment(C, D) → i
  10. Segment(A, C) → j
  11. Distance(B, A) → distanceBA
  12. Distance(A, D) → distanceAD
  13. Distance(D, C) → distanceDC
  14. Distance(C, B) → distanceCB
  15. Segment(W, Z) → k
  16. Circle(W, Z) → p
  17. OrthogonalLine(W, k) → l
  18. Intersect(p, l, 2) → X
  19. OrthogonalLine(X, l) → m
  20. OrthogonalLine(Z, k) → n
  21. Intersect(m, n) → Y
  22. Distance(W, X) → distanceWX
  23. Midpoint(W, X) →
  24. Distance(X, Y) → distanceXY
  25. Midpoint(X, Y) →
  26. Distance(Y, Z) → distanceYZ
  27. Midpoint(Y, Z) →
  28. Distance(Z, W) → distanceZW
  29. Midpoint(Z, W) →