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Investigate Rhombus Diagonals

Investigate Rhombus Diagonals
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2015-11-05 21:35
PolygonAngleGeometric Construction
This example guides students to discover the special properties of rhombus diagonals, including perpendicularity, bisecting each other, and bisecting the angles of the rhombus. Using GeoGebra commands such as Segment, Point, Line, Intersect, and Angle, students can visually observe and verify these properties. Suitable for middle school and above students to learn about the properties of geometric shapes.

GeoGebra Commands & Parameters

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