# What are the properties of a parallelogram?

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• In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) 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. The congruence of opposite sides and opposite angles is a direct consequence of the Euclidean parallel postulate and neither condition can be proven without appealing to the Euclidean parallel postulate or one of its equivalent formulations.

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• It's a quadrilateral in which the pairs of opposite sides are parrallel.

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• It is a 4 sided quadrilateral whose opposite sides are parallel and its 4 interior angles add up to 360 degrees.

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• A parallelogram is a quadrilateral with opposite sides parallel and equal.

Examples of parallelogram:

Rectangles, squares, and rhombuses are all parallelograms.

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