Parallelogramm

konvexes ebenes Viereck mit parallelen gegenüberliegenden Seiten

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

Wikidata facts

Has part: vertex
Image: Parallelogram simple.svg

Show 6 more facts

Commons category: Parallelograms
has facet polytope: edge
has characteristic: plane area
on focus list of Wikimedia project: Wikipedia:Vital articles/Level/4
maintained by WikiProject: WikiProject Mathematics
different from: antiparallelogram

Sources (3)

via Wikidata · CC0

Article · Deutsch

Ein Parallelogramm (von altgriechisch παραλληλό-γραμμος paralleló-grammos „von zwei Parallelenpaaren begrenzt“) oder Rhomboid (rautenähnlich) ist ein konvexes ebenes Viereck, bei dem gegenüberliegende Seiten parallel sind. Parallelogramme sind spezielle Trapeze und zweidimensionale Parallelepipede. Rechteck, Raute (Rhombus) und Quadrat sind Spezialfälle des Parallelogramms.

Abstract from DBpedia / Wikipedia · CC BY-SA