What Is a Parallelogram?

What Is a Parallelogram?

A paralleogram is a four sided shape with opposite sides parallel and equal in length.

parallelogram

Dictionary Definition

The Oxford English Dictionary defines a parallelogram as "a four-sided plane rectilinear figure whose opposite sides are parallel; especially one whose sides do not intersect at right angles."

Properties of Parallelograms

  • Opposite sides of a parallelogram are parallel.

    opposite sides of a parallelogram are parallel
  • Opposite sides of a parallelogram are of equal length.

    opposite sides of a parallelogram are of equal length
  • Opposite angles of a parallelogram are equal.

    opposite angles in a parallelogram are equal
  • Adjacent angles of a parallelogram add up to 180°. They are supplementary angles.

    adjacent angles in a parallelogram add up to 180 degrees
  • All angles of a parallelogram add up to 360°.

    all angles in a parallelogram add up to 360 degrees
  • The diagonals of a parallelogram bisect each other. The diagonals cross each other half-way along their lengths.

    diagonals in a parallelogram bisect each other

The Perimeter of a Parallelogram

The perimeter of a parallelogram is given by the formula:

perimeter equals 2 )b plus s)

In this formula, b is the length of the base and s is the length of the side of the parallelogram.

The Area of a Parallelogram

The area of a parallelogram is given by the formula:

area of a parallelogram equals b h

In this formula, b is the length of the base and h is the height of the parallelogram.

Read more about how to find the area of a parallelogram

See Also

What is an angle? What are supplementary angles? Finding the area of a parallelogram What is a polygon? What are the interior angles of a polygon? Finding the sum of the interior angles of a polygon Learn about parallelograms ( interactive widget)