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Diagonal of a Rhombus

Diagonal of a Rhombus
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2016-01-28 22:11
PolygonVectorGeometric Construction
This example demonstrates the properties of the diagonals of a rhombus. Key mathematical concepts include vectors and geometric construction. Using GeoGebra commands such as Segment, Line, Point, Midpoint, Polygon, and Rotate, a rhombus is constructed and its diagonal properties are observed. Suitable for students in middle school and above learning geometry and vectors.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Line(C, a) → b
  3. Point(b) → D
  4. Segment(C, A) → c
  5. Segment(C, D) → d
  6. Segment(D, B) → e
  7. Midpoint(A, C) → E
  8. Midpoint(B, D) → F
  9. Segment(E, F) → f
  10. Polygon(E, F, B, A) → poly1, e_1, f_1, b_1, a_1
  11. Polygon(E, C, D, F) → poly2, e_2, c_1, d_1, f_2
  12. Rotate(F, α, F) → F'
  13. Rotate(E, α, F) → E'
  14. Rotate(F, α, F) → F'_1
  15. Rotate(B, α, F) → B'
  16. Rotate(A, α, F) → A'
  17. Polygon(E', F'_1, B', A') → poly1', e', f'_1, b', a'