AI overview
A parallelogram is a four-sided shape where opposite sides are parallel to each other, which automatically makes those opposite sides equal in length and opposite angles equal in size. This shape is fundamental to Euclidean geometry because its defining properties depend directly on the parallel postulate, a cornerstone assumption of how geometry works in flat space.
AI-generated from the Wikipedia summary — may contain errors.
Key facts
- Polygon.name
- Parallelogram
- Polygon.image
- Parallelogram.svg
- Polygon.caption
- This parallelogram is a rhomboid as it has unequal sides and no right angles.
- Polygon.type
- Quadrilateral, Trapezium
- Polygon.edges
- 4
- Polygon.symmetry
- C2, [2]+,
- Polygon.area
- bh (base × height);ab sin θ (product of adjacent sides and sine of the vertex angle determined by them)
- Polygon.properties
- Convex polygon
via Wikipedia infobox