# parallelogram

A is a quadrilateral whose opposite sides are parallel.

Some special parallelograms have their own names: squares, rectangles, rhombuses. A rectangle is a parallelogram whose all angles are equal (i.e. $90^{\circ}$), a rhombus is a parallelogram whose all sides are equal, and a square is a parallelogram that is a rectangle and a rhombus at the same time.

Every parallelogram have their opposite sides and opposite angles equal. Also, adjacent angles of a parallelogram always add up to $180^{\circ}$, and the diagonals bisect each other.

A base of a parallelogram is one of its sides. Any side of a parallelogram can be selected as its base. Once a base has been selected, the height of the parallelogram is defined to be the length of any line segment perpendicular to the base which extends from the base to the opposite side parallel to the base. The area of a parallelogram with base length $b$ and height $h$ is given by the formula  $A=bh$.

There is also a neat relation between the length of the sides and the lengths of the diagonals called the parallelogram law.

 Title parallelogram Canonical name Parallelogram Date of creation 2013-03-22 12:02:21 Last modified on 2013-03-22 12:02:21 Owner drini (3) Last modified by drini (3) Numerical id 11 Author drini (3) Entry type Definition Classification msc 51-00 Related topic ParallelogramTheorems Related topic Quadrilateral Related topic Rectangle Related topic Rhombus Related topic Square Related topic ParallelogramLaw Related topic Kite Related topic Rhomboid Related topic ProofOfParallelogramTheorems Related topic Parallelotope