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Which of the following is need not be always true for a parallelogram?1. Opposite sides are parallel and equal2. Opposite angles are Equal3. Diagonals bisect each other4. Diagonals are equal

Answer» Correct Answer - Option 4 : Diagonals are equal

The correct answer is Diagonals are equal.

  • A parallelogram is a two-dimensional geometrical shape, whose sides are parallel to each other.
  • It is a quadrilateral where the pair of parallel sides are equal in length.
  • The interior opposite angles of a parallelogram are equal in measure.
  • Sum of adjacent angles of a parallelogram is equal to 180 degrees.
  • The diagonals of a parallelogram bisect each other.  
  • Area of parallelogram = Base x Height
  • Perimeter of parallelogram = 2 x (Sum of adjacent sides length)

  • Special Parallelograms:
    • A square and a rectangle are two shapes which have similar properties of a parallelogram.
      • Both have their opposite sides equal and parallel to each other.
      • Diagonals of both the shapes bisect each other. 
    • If all the sides of a parallelogram are congruent or equal to each other, then it is a rhombus
    • If there is one parallel side and the other two sides are non-parallel, then it is a trapezium.
  • A three-dimensional shape has its faces in parallelogram shape, is called parallelepiped


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