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Diagonals of a Rhombus by Gail Kliewer

Diagonals of a Rhombus by Gail Kliewer
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2016-03-30 23:39
PolygonAngleTransformationGeometric Construction
This example illustrates the properties of the diagonals of a rhombus. Key mathematical concepts include the perpendicular and bisecting nature of the diagonals. Construction highlights the use of commands such as Point, Segment, Line, Mirror, Polygon, Intersect, Distance, LineBisector, and Angle. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 3]) → B
  2. Segment(A, B) → a
  3. Point(Circle[A, 3]) → C
  4. Segment(A, C) → b
  5. Line(C, B) → c
  6. Mirror(A, c) → A'
  7. Polygon(A, C, A', B) → poly1, a_1, c_1, a', b_1
  8. Segment(C, B) → d
  9. Segment(A', A) → e
  10. Intersect(d, e) → D
  11. Distance(A', D) → distanceA'D
  12. Distance(D, A) → distanceDA
  13. Distance(B, D) → distanceBD
  14. Distance(D, C) → distanceDC
  15. Segment(E, F) → f
  16. LineBisector(f) → g
  17. Point(g) → G
  18. Mirror(G, f) → G'
  19. Polygon(G, F, G', E) → poly2, g_1, f_1, g', e_1
  20. Segment(G, G') → h
  21. Intersect(f, h) → H
  22. Angle(F, H, G) → α
  23. Angle(G, H, E) → β
  24. Angle(E, H, G') → γ
  25. Angle(G', H, F) → δ