Can a rectangle be a trapezoid trapezoid to parallelogram & rectangle

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Quadrilateral just means "four sides" quad means four, lateral means side. A Quadrilateral has four-sides , it is 2-dimensional a flat shape , closed the lines join up , and has straight sides. Also see this on Interactive Quadrilaterals. Try drawing a quadrilateral, and measure the angles. Some types are also included in the definition of other types! For example a square , rhombus and rectangle are also parallelograms.

There are many different kinds of quadrilaterals, but all have several things in common: all of them have four sides, are coplanar, have two diagonals, and the sum of their four interior angles equals degrees. This is how they are alike, but what makes them different? We know many quadrilaterals by their special shapes and properties, like squares. Remember, if you see the word quadrilateral, it does not necessarily mean a figure with special properties like a square or rectangle! In word problems, be careful not to assume that a quadrilateral has parallel sides or equal sides unless that is stated. Special Quadrilaterals. We can use a Venn diagram to help us group the types of quadrilaterals.

A trapezoid is defined (in North America) to be a quadrilateral that has exactly one pair of parallel sides. (This object is called a trapezium in British English.).
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A trapezoid is a quadrilateral with at least one pair of parallel sides. No other features matter. In English-speaking countries outside of North America, the equivalent term is trapezium. The parallel sides may be vertical , horizontal , or slanting. In fact, by the definition, even this is a trapezoid because it has "at least one pair of parallel sides" and no other features matter , as are. In these figures, the other two sides are parallel, too and so they meet not only the requirements for being a trapezoid quadrilateral with at least one pair of parallel sides but also the requirements for being a parallelogram.

Several people have questioned me about the definition of a trapezoid that appears in Math Mammoth grade 5 curriculum:. You can easily find other definitions for a trapezoid which indicate it only has ONE pair of parallel sides. So, people get confused. This is one of those rare instances where there exist two types of definitions for a shape. But some of my customers have learned the " exclusive " definition, which says a trapezoid has exactly one pair of parallel lines not two. Using this definition, squares, parallelograms, and rectanges won't qualify. Mathematicians prefer the inclusive definition the one that says "at least one pair of parallel lines".

The parallel sides are called the bases of the trapezoid and the other two sides are called the legs or the lateral sides if they are not parallel; otherwise there are two pairs of bases. A scalene trapezoid is a trapezoid with no sides of equal measure,  in contrast to the special cases below. This article uses the term trapezoid in the sense that is current in the United States and Canada. In many other languages using a word derived from the Greek for this figure, the form closest to trapezium e. There is some disagreement whether parallelograms , which have two pairs of parallel sides, should be regarded as trapezoids.

Differences Between Rectangle and Trapezoid

Math [ Privacy Policy ] [ Terms of Use ]. As far as I know, a trapezoid is defined as a quadrilateral with exactly one set of parallel sides. Most textbooks and websites will confirm this definition. However, a very highly regarded educator and textbook author recently argued that this definition is incorrect. His definition of a trapezoid is that it is a quadrilateral that has at least one pair of parallel sides.

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1. Alexandra G. says: