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  2. In geometry, the terms "trapezoid" and "trapezium" have different meanings in different English-speaking regions12345:
    • In the US, a trapezoid 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.
    • In Canada, a trapezoid has an inclusive definition, including parallelograms as special trapezoids.
    Learn more:
    In 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…
    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.html
    In American English, trapezoid is the correct term, while in British English, trapezium is the proper word. However, both terms are used to describe a quadrilateral with one pair of parallel sides.
    thecontentauthority.com/blog/trapezoid-vs-trapezium
    There are two common definitions of the trapezium. The American definition is a quadrilateral with no parallel sides; the British definition is a quadrilateral with two sides parallel (e.g., Bronshtein and Semendyayev 1977, p. 174)--which Americans call a trapezoid.
    mathworld.wolfram.com/Trapezium.html
    A flat shape with 4 straight sides that has a pair of opposite sides parallel. (Called a trapezium in the UK. Both US and UK definitions of trapezium and trapezoid are swapped over.) The sides that are parallel are called "bases". The other sides are "legs" (which may or may not be parallel).
    www.mathsisfun.com/definitions/trapezoid.html
     
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