![]() Examples of the various configurations are shown below, together with the name given to each shape and a brief description of its characteristics. Many of the configurations result in shapes that have specific names, and at least some of these names are probably familiar to you. In addition, one or both pairs of opposite sides may be parallel. ![]() On the other hand any two or more sides may be equal in length, and any two or more angles may be of the same magnitude. It is perfectly possible to have a quadrilateral in which no two sides and no two angles are the same. Incidentally, it is worth noting that the sum of the internal angles S for any polygon is related to the number of sides n that the polygon has by the following formula:ĭifferent types of quadrilaterals have different properties that are determined by the specific relationship between the sides and angles of the quadrilateral. The sum of the internal angles is always three hundred and sixty degrees ( 360°). As well as having four sides, quadrilaterals have four vertices, four internal angles, and two diagonals (a diagonal is an imaginary line that connects opposite vertices). Unless otherwise stated, the term quadrilateral is used here to refer only to simple quadrilaterals. There is also a type of quadrilateral called a complex or crossed quadrilateral, which we will talk about later. There are certain characteristics, however, that are common to all simple quadrilaterals. There are several types of quadrilateral, all with their own distinct characteristics. A quadrilateral (from the Latin "quadri", meaning "square" and "latus", meaning "side") is a four-sided polygon (a polygon is a flat, enclosed shape with multiple straight edges).
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