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Rhombus as Parallelogram

Rhombus as Parallelogram
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2017-10-13 17:29
PolygonVectorGeometric Construction
In collections Quadrilaterals الرُباعيات
This example demonstrates the geometric properties and proof of a rhombus as a type of parallelogram. It involves core mathematical concepts such as parallelograms, rhombuses, vectors, angles, and geometric transformations. The construction utilizes GeoGebra commands and objects like Vector, Translate, Polygon, Segment, Intersect, and Angle. It is suitable for high school mathematics education, helping students understand the relationship between parallelograms and rhombuses and geometric construction techniques.

GeoGebra Commands & Parameters

  1. Vector((-6, -1)) → u
  2. Translate(C1, Vector[(e * u)]) → C
  3. Translate(B1, Vector[(e * u)]) → B
  4. Polygon(A, B, C, D) → poly1, h, i, j, k
  5. Segment(C, A) → f
  6. Segment(B, D) → g
  7. Intersect(f, g) → E
  8. Angle(C, E, D) → α
  9. Segment(A, D) → l
  10. Segment(D, C) → m
  11. Segment(C, B) → n
  12. Segment(B, A) → p