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Properties of a Rhombus by nelsone

Properties of a Rhombus by nelsone
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2018-11-01 19:48
PolygonAngleTransformationGeometric Construction
This example demonstrates the properties of a rhombus. Key mathematical concepts include the diagonals of a rhombus being perpendicular and bisecting each other, and all four sides being equal in length. Using GeoGebra commands such as Point, Segment, Line, Mirror, and Intersect, the construction of a rhombus and the observation of its properties are illustrated. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Point(Circle[A, a]) → B
  2. Segment(A, B) → b
  3. Point(Circle[A, a]) → C
  4. Segment(A, C) → c
  5. Line(B, C) → d
  6. Mirror(A, d) → A'
  7. Mirror(C, d) → C'
  8. Segment(A', C') → c'
  9. Mirror(A, d) → A'_1
  10. Mirror(B, d) → B'
  11. Segment(A'_1, B') → b'
  12. Segment(A, A') → e
  13. Segment(C, B) → f
  14. Intersect(f, e) → D
  15. Segment(A, D) → g
  16. Segment(D, A'_1) → h
  17. Segment(C', D) → i
  18. Segment(D, B') → j
  19. Angle(A, D, C) → α
  20. Angle(A, C', D) → β
  21. Angle(D, C, A') → γ
  22. Angle(C, A', B) → δ
  23. Angle(C, A, B) → ε
  24. Angle(D, B, A) → ζ
  25. Angle(D, B, A') → η