# Some Special Parallelograms : Maths NCERT Notes

### 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.

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,
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.
Theorem:  A diagonal of a parallelogram divides it into two congruent triangles.

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

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