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Diagonals in a Rhombus

Diagonals in a Rhombus
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2016-10-27 01:51
PolygonAngleGeometric Construction
In collections Types of Parallelograms Rhombus, Rectangle, Square Lesson 6.4 - Rhombuses, Rectangles, and Squares - Math III
This example illustrates the properties of the diagonals in a rhombus. Key mathematical concepts include that the diagonals of a rhombus are perpendicular and bisect each other. Construction highlights include the use of Segment, Circle, Point, Intersect, and Angle commands.

GeoGebra Commands & Parameters

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