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Construction of a Rhombus by Joseph

Construction of a Rhombus by Joseph
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2016-11-28 09:11
PolygonCoordinate GeometryGeometric Construction
This example demonstrates the construction of a rhombus. Key mathematical concepts include geometric construction and coordinate geometry. Using GeoGebra commands such as Segment, OrthogonalLine, Point, Angle, Intersect, etc., a rhombus can be constructed. Suitable for students at the junior high school level and above for learning geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. OrthogonalLine(A, f) → g
  3. Point(g) → C
  4. OrthogonalLine(C, g) → h
  5. Angle(B, A, C) → α
  6. OrthogonalLine(B, f) → i
  7. Intersect(h, i) → D
  8. Segment(C, B) → j
  9. Segment(A, D) → k
  10. Intersect(j, k) → E
  11. Angle(A, C, D) → β
  12. Angle(C, D, B) → γ
  13. Angle(D, B, A) → δ
  14. Angle(B, E, D) → ε
  15. Angle(C, E, A) → ζ
  16. Angle(D, E, C) → η
  17. Angle(A, E, B) → θ
  18. Distance(C, E) → distanceCE
  19. Distance(E, D) → distanceED
  20. Distance(B, E) → distanceBE
  21. Distance(A, E) → distanceAE