Parallelogram
Jump to navigation
Jump to search
| Parallelogram | |
|---|---|
 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.