A parallelogram is a quadrilateral - a polygon with four sides (and angles) - with the following properties:
two pairs of parallel sides
two pairs of equal sides
the parallel and equal sides are opposite each other
opposite (interior) angles are equal
adjacent (interior) angles sum 180°
a parallelogram has no lines of symmetry
a parallelogram has rotational symmetry of order 2
the diagonals of a parallelogram are equal in length and bisect each other
Identifying these properties allows us to solve a range of geometric problems in GCSE Mathematics.
A special case of a parallelogram would be when all four sides are of equal length, in which case it would be a rhombus.
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