Parallelogram
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Parallelogram | |
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![]() This parallelogram is a rhomboid as its angles are oblique. | |
Teep | quadrilateral |
Edges an vertices | 4 |
Symmetry group | C2, [2]+, (22) |
Aurie | b × h; ab sin θ |
Properties | convex |
In Euclidean geometry, a parallelogram is a simple (non self-intersectin) quadrilateral wi twa pairs o parallel sides. The opposite or facin sides o a parallelogram are o equal length an the opposite angles o a parallelogram are o equal measur. The congruence o opposite sides an opposite angles is a direct consequence o the Euclidean Parallel Postulate an neither condeetion can be proven wioot appealin tae the Euclidean Parallel Postulate or ane o its equivalent formulations. The three-dimensional coonterpairt o a parallelogram is a parallelepiped.
The etymology (in Greek παραλληλ-όγραμμον, a shape "o parallel lines") reflects the defineetion.