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Properties of Parallelogram (vectors)

Properties of Parallelogram (vectors)
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2015-03-23 11:43
VectorTrigonometryGeometric Construction
This example demonstrates the properties of a parallelogram, involving concepts of vectors, angles, and lengths. Using GeoGebra commands such as Point, Segment, and Vector, it dynamically shows the relationships between the sides, diagonals, and vectors of a parallelogram. Suitable for students at the middle school level and above to learn geometry and vector concepts.

GeoGebra Commands & Parameters

  1. Point(Circle[O, lbl]) → B
  2. Segment(O, B) → length
  3. Point(Circle[O, lal]) → A
  4. Segment(O, A) → breadth
  5. Circle(A, lbl) → d_1
  6. Circle(B, lal) → e
  7. Intersect(d_1, e, 1) → Q
  8. Segment(A, Q) → f
  9. Segment(Q, B) → g
  10. Vector(O, B) → b
  11. Vector(O, A) → a
  12. Vector(O, Q) → c
  13. Vector(B, A) → d
  14. Point(c) → C
  15. Segment(O, Q) → h
  16. Segment(B, A) → i
  17. Angle(i, h) → α