Some Special Parallelograms : Maths NCERT / CBSE Revision Notes

A quadrilateral is a closed figure which has four sides, four angles and four vertices. There are different types of quadrilaterals such as Parallelogram, Rectangle, Square, Rhombus,Trapezium and Kite.
Some Special Parallelograms, CBSE / NCERT Revision Notes

parallelogram is a quadrilateral in which
  • opposite sides are parallel and equal,
  • opposite angles are equal,
  • the diagonals bisect each other,
  • each diagonal divides it into two congruent triangles,
  • adjacent angles are supplementary.
square is a parallelogram in which
  • all the sides are equal,
  • each angle measures 900,
  • diagonals are equal and bisect at right angles.
rectangle is a parallelogram in which
  • diagonals are equal and bisect each other,
  • each angle measures 900.
rhombus is a parallelogram in which
  • all four sides are equal,
  • diagonals bisect each other at right angles.
quadrilateral, parallelogram, rectangle, square, rhombus, polygon, four sides, four vertices, four angles, closed figure
Theorem:  A diagonal of a parallelogram divides it into two congruent triangles.
 diagonal of a parallelogram, parallelogram, two congruent triangles, opposite sides equal, opposite angles equal,

Theorem: If each pair of opposite sides is equal in a quadrilateral, then it is a parallelogram.
quadrilateral, parallelogram, opposite sides equal, opposite angles equal
Theorem: If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
parallelogram, quadrilateral, diagonals bisect each other, opposite sides equal, opposite angles equal

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