Parallelogram : A parallelogram is a quadrilateral, in which both the pairs of opposite sides are parallel. The quadrilateral ABCD, drawn alongside, is a parallelogram; since, AB is parallel to DC and AD is parallel to BC i.e.

AB || DC and AD || BC. Also, in a parallelogram ABCD: (i) opposite sides are equal: i.e. AB = DC and AD = BC. (ii) opposite angles are equal: i.e. ∠ABC = ∠ADC and ∠BCD = ∠BAD (iii) diagonals bisect each other : i.e. OA = OC = 12 AC and OB = OD = 12 BD.

Some special types of Parallelograms (a) Rhombus : A rhombus is a parallelogram in which all its sides are equal.

∴In a rhombus ABCD : (i) opposite sides are parallel: i.e. AB||DC and AD||BC. (ii) all the sides are equal: i.e. AB = BC = CD = DA. (iii) opposite angles are…