Parallelogram is defined as a type of quadrilateral having four sides, its opposite sides are equal and parallel to each other. Corresponding opposite angles is also equal to each other. Any Parallelogram is divided into two congruent Triangles by each of its diagonal. In a parallelogram, the sum of squares of diagonals is equal to sum of squares of sides. Here a question arises that does a parallelogram have Rotational Symmetry? The answer to this question is yes, a parallelogram possesses rotational symmetry. It provides a same view after its rotation also. Adjacent angles of any parallelogram are supplementary that is their sum is 1800.
There are four types of parallelogram, as follows:
Square: A Square is defined as a parallelogram whose all four sides is equal and opposite sides are parallel.
Rectangle: A Rectangle is defined as a parallelogram whose opposite sides are equal and parallel.
Rhombus: A Rhombus is defined as a type of parallelogram whose four sides are equal in length.
Rhomboid: A type of parallelogram whose adjacent sides are unequal and opposite sides is parallel but angles are not Right Angle is known as Rhomboid.
Rotational Symmetry is defined as a property of any figure according to which it looks symmetrical after the rotation. Any object may possess more than one rotational symmetry. N- fold rotational symmetry is a type of symmetry according to which, no change occurs in the object when it is rotated by an angle of 3600 /n. A parallelogram possesses the property of rotational symmetry as on taking a view from any sides of parallelogram, it looks same and the on rotating it by an angle, it gives the view same as it was giving before its rotation. The rotational symmetry can be illustrated using an example of pizza. As pizza possess a rotational symmetry of 600 . On looking at a pizza we cannot identify its rotation as it is symmetrical.