In Euclidean geometry, a parallelogram is a convex quadrilateral with two pairs of parallel facets. The reverse or dealing with sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. The congruence of reverse facets and reverse angles is a right away outcome of the Euclidean Parallel Postulate and neither condition may also be tested without appealing to the Euclidean Parallel Postulate or one in every of its identical formulations. The 3-dimensional counterpart of a parallelogram is a parallelepiped.
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parallelogram
In Euclidean geometry, a parallelogram is a convex quadrilateral with two pairs of parallel facets. The reverse or dealing with sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. The congruence of reverse facets and reverse angles is a right away outcome of the Euclidean Parallel Postulate and neither condition may also be tested without appealing to the Euclidean Parallel Postulate or one in every of its identical formulations. The 3-dimensional counterpart of a parallelogram is a parallelepiped.