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Properties of a Rhombus by tmoorehead

Properties of a Rhombus by tmoorehead
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2016-11-30 03:35
PolygonAngleTransformation
This example demonstrates the properties of a rhombus. Key mathematical concepts include: diagonals of a rhombus are perpendicular and bisect each other, opposite sides are parallel and equal, and opposite angles are equal. Using GeoGebra commands such as Line, Circle, Point, Intersect, Polygon, Segment, etc., a rhombus can be constructed and its properties observed. Suitable for middle school and above students to learn geometric construction.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Circle(A, B) → c
  3. Point(c) → C
  4. Line(A, C) → b
  5. Line(B, b) → d
  6. Line(C, a) → e
  7. Intersect(d, e) → D
  8. Polygon(A, B, D, C) → poly1, a_1, b_1, d_1, c_1
  9. Segment(A, C) → AC
  10. Segment(C, D) → CD
  11. Segment(D, B) → DB
  12. Segment(B, A) → BA
  13. Segment(A, D) → AD
  14. Segment(C, B) → CB
  15. Intersect(AD, CB) → E
  16. Segment(E, C) → EC
  17. Segment(E, D) → ED
  18. Segment(E, B) → EB
  19. Segment(E, A) → EA
  20. Segment(A, D) → i
  21. Segment(B, C) → j
  22. Angle(i, j) → α
  23. Angle(poly1) → β, γ, δ, ε
  24. Segment(D, A) → m
  25. Segment(C, B) → n
  26. Angle(D, A, C) → ζ
  27. Angle(A, C, B) → η
  28. Angle(B, C, D) → θ
  29. Angle(C, D, A) → ι
  30. Angle(A, D, B) → κ
  31. Angle(D, B, C) → λ
  32. Angle(C, B, A) → μ
  33. Angle(B, A, D) → ν
  34. Line(C, A) → p
  35. Line(C, D) → q
  36. Line(D, B) → r
  37. Line(B, A) → s
  38. Polygon(F, G, H, I) → poly2, f_1, g_1, h_1, i_1