There are two different definitions of trapezium in two different textbooks or resources . Some say that :-

Trapezium is a quadrilateral with atleast one pair of opposite sides parallel .

And the second definition is :-

Trapezium is a quadrilateral with exact one pair of opposite sides parallel.

Can someone tell which out of the following definition is correct?

Second definition


First definition

  • 1
    $\begingroup$ Definitions are neither "correct" nor "incorrect". They simply tell you what a word is meant to mean in the context of whatever you are reading. However, the more common definition is probably "a trapezoid is a quadrilateral with exactly one pair of parallel sides. $\endgroup$
    – Xander Henderson
    Feb 1, 2022 at 12:33
  • $\begingroup$ If we have two pairs of parallel sides , we still have a trapezoid , just a more special one, namely a parallelogram. It is not wrong to consider a parallelogram to be a trapezoid , although we usually choose the best name to characterize it. $\endgroup$
    – Peter
    Feb 1, 2022 at 12:45
  • $\begingroup$ Trapezoid has two parallel sides and extension of two other sides meet at a point. $\endgroup$
    – sirous
    Feb 1, 2022 at 13:10
  • 2
    $\begingroup$ It's worth noting that mathematicians can't even agree on whether zero is a natural number. Trapezium happens to be another context-sensitive term. (The fact that the US uses trapezoid adds to the fun and/or confusion.) A thoughtful author will explain the preferred usage in a work. Wikipedia's "Trapezoid" entry has a discussion of the "inclusive" vs "exclusive" definitions of the term. This has also been discussed a few times here on Math.SE; try a site search. $\endgroup$
    – Blue
    Feb 1, 2022 at 13:50


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