# Parallelograms

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length, and the opposite angles of a parallelogram are of equal measure.

*A parallelogram*

## Area

The formula for the area of a parallelogram is the same as that for a rectangle’s:

To make sense of this fact, notice that, as depicted below, a parallelogram with base *b* and height *h* can be divided into a trapezoid and a right triangle and rearranged into a rectangle of equivalent area.*A parallelogram can be rearranged into a rectangle of the same area*

## Diagonals Bisect

You should know that the diagonals of a parallelogram bisect each other. For example, in this figure,

since *ABCD* is a parallelogram, we know that *AE* = *EC* and *BE* = *ED*, as is indicated by the single and double hash marks.

## Practice Question

Angles of a Parallelogram:

http://www.gmatfree.com/Angles-of-a-Parallelogram

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