Parallelograms

Parallelogram is defined as the " four sided closed planar figure whose opposite sides are parallel to each other  " .

           Here ABCD is a parallelogram

There are some conditions to be satisfied by a quadrilateral so that it could be identified as parallelograms and they are as follows :
1 . The two pair of sides it consist of should be parallel to each other.
2 . The two pairs of opposite sides should be of same length .
3 . The angles of the two pair of opposite sides must be same .
4 . The diagonals drawn inside the parallelogram should bisect each other .
5 . One pair of opposite sides should be parallel and equal in length .

Types of Parallelograms

There are three types of parallelograms and they are as follows :

•  Square :

                    
                  
It is considere to be a type of parallelogram because it satisfies the condition required for a figure to be considered as the parallelogram such as
1 . The opposite pair of sides are parallel.
2 . The opposite sides are of same length .
3 . The opposite pair of angles are same .
4 . The diagonals inside the square bisect each other .
5 . One pair of opposite sides are parallel and they are equal in length .

• Rectangle :

                         
                          Rectangle is considered to be a type of parallelogram as it satisfies all the condition required to be considered as the parallelogram .

Types of parallelograms : Rhombus

• Rhombus :

                       
                             Rhombus is also considered as a type of parallelogram as it satisfies all the conditions of the parallelogram .