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- In Euclidean geometry, a convex quadrilateral with at least one pair of parallel sides is referred to as a trapezoid in American and Canadian English but as a trapezium in English outside North America1234. In the US, a trapezium is a four-sided polygon with no parallel sides, while in the UK, a trapezium is a four-sided polygon with exactly one pair of parallel sides24. In Canada, a trapezoid has an inclusive definition in that it’s a four-sided polygon with at least one pair of parallel sides2.Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.trapezoid (US) = trapezium (UK) In Euclidean geometry, a convex quadrilateral with at least one pair of parallel sides is referred to as a trapezoid in American and Canadian English but as a trapezium in English outside North America.www.amathsdictionaryforkids.com/qr/t/trapezium.htmlIn the US (for some) a trapezium is a four sided polygon with no parallel sides; in the UK a trapezium is a four sided polygon with exactly one pair of parallel sides; whereas in Canada a trapezoid has an inclusive definition in that it’s a four sided-polygon with at least one pair of parallel sides - hence parallelograms are special trapezoids.www.cambridgemaths.org/blogs/where-in-the-worl…US usage: A quadrilateral with no parallel sides. UK usage: The same as the US word trapezoid. The UK word trapezoid means the same as the US word trapezium, and vice-versa.mathwords.com/t/trapezium.htmThe word "trapezium" in British English defines a quadrilateral with no sides parallel. This is in direct contrast to the American "trapezoid," which requires the presence of parallel sides.www.askdifference.com/trapezoid-vs-trapezium/
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