Trapezoid

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Trapezoid
Trapezoid (plain).svg
Rank2
SpaceSpherical
Notation
Bowers style acronymTraz
Elements
Edges1+1+1+1
Vertices1+1+1+1
Vertex figureDyad
Measures (edge length 1)
Central density1
Related polytopes
ArmyTraz
Abstract properties
Euler characteristic0
Topological properties
OrientableYes
Properties
SymmetryI×I, order 1
ConvexYes
NatureTame

The trapezoid, or traz, is a quadrilateral with one pair of opposite parallel sides. It is a specific case of an irregular tetragon. All trapezoids are convex in Euclidean geometry.

Types of trapezoids[edit | edit source]

If the two non-parallel sides of a trapezoid intersect, the figure may more specifically be called a crossed trapezoid. If the two non-parallel sides have the same length, the figure may be called an isosceles trapezoid.

An isosceles trapezoid with edge length ratios 2:1:1:1 is called a triamond, constructible as a blend of three equilateral triangles. Polyhedra containing triamonds have been studied, particularly the set of convex triamond polyhedra.