Parallelograms

       

Parallelograms - Quadrilaterals, Squares & Rectangles

What is a Parallelogram?   

A Parallelogram is a two dimensional shape with four sides in which opposite sides are parallel and equal to each other.

Four sided two dimensional shapes are known as quadrilaterals. 

A parallelogram is a specific type of a quadrilateral in which the opposite pair of sides are parallel and equal. 

So all parallelograms are quadrilateral however not all quadrilaterals are parallelograms.

Is a rectangle also a parallelogram?

Yes a rectangle is a specific type of parallelogram as it meets the criteria of a parallelogram as it is a two dimensional shape with four sides in which opposite sides are parallel and equal. 

So all rectangles are parallelograms however not all parallelograms are rectangles because a rectangle must also have all four interior angles equal.

All four interior angles of a rectangle are right angles that is 90 degrees.

Is a square also a parallelogram?

Yes a square is a specific type of parallelogram as it meets the criteria of a parallelogram as it is a two dimensional shape with four sides in which opposite sides are parallel and equal. 

So all squares are parallelograms however not all parallelograms are squares because a square has all four sides and interior angles equal. 

All four interior angles of a square are right angles that is 90 degrees.