Varignon’s Theorem in other words is a statement which is a part of Euclidean geometry which mainly deals with the construction of a particular parallelogram and it is known as Varignon parallelogram. The theorem is named after the name of Pierre Varignon and this theorem can into existence in the year 1731.

The theorem highlight the fact that moment of the outcome of 2 different simultaneous forces at any given point is equal to the total of moments of its constituents at the same point.

According to the theorem, the midpoints of the sides of a given quadrangular form a parallelogram. In case the given quadrangular is reentrant or convex which means if the quadrangular is not crossing the quadrangle, the total area of the parallelogram will be half as compared to the area of parallelogram.

Properties of Varignon parallelogram-

  • The total perimeter of the varignon parallelogram is always equivalent to the sum of the diagonals of the original quadrangular.
  • The side of a given varignon parallelogram is always half as the diagonal in the actual quadrangular is parallel to.
  • Every single pair of Varignon parallelogram are evidently equivalent to a diagonal in the actual quadrangular.

 

Varignon’s Theorem 1” = C

Varignon’s Theorem 2” = C

 

 

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