# Trapezoid

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Trapezoid | |
---|---|

Rank | 2 |

Notation | |

Bowers style acronym | Traz |

Elements | |

Edges | 1+1+1+1 |

Vertices | 1+1+1+1 |

Vertex figure | Dyad |

Measures (edge length 1) | |

Central density | 1 |

Army | Traz |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | I×I, order 1 |

Convex | Yes |

Nature | Tame |

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.

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