Meaning

A trapezoid is a quadrilateral v at least one pair the parallel sides. No other attributes matter. (In English-speaking nations outside of north America, the tantamount term is trapezium.)

The parallel sides might be upright , horizontal , or slanting . In fact, by the definition, even this

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is a trapezoid since it has actually “at least one pair that parallel sides” (and no other functions matter), as room
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. In these figures, the other two sides space parallel, too and also so they fulfill not only the needs for being a trapezoid (quadrilateral through at least one pair that parallel sides) but likewise the requirements for being a parallelogram.

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The an interpretation given over is the one that is accepted within the mathematics community and, increasingly, in the education community. Many sources pertained to K-12 education and learning have historically restricted the meaning of trapezoid to need exactly one pair that parallel sides. This narrower view excludes parallelograms as a subset that trapezoids, and also leaves just the figures like , , and . This narrower definition treats trapezoids together if they are triangles v “one vertex cut off parallel to the the contrary side.” even with the restricted definition, it is essential for college student to check out non-standard examples — asymmetric prefer the green and also tan examples, and also in non-“level” orientations prefer the red example — so the the picture that they build focuses on the essential feature: the pair that parallel sides.

Classifying trapezoids

Parallelograms with special features, prefer right angles or every congruent sides (or both), are offered their own distinctive names: rectangle, rhombus, and square. The only special function of a trapezoid the is vested its own distinctive surname is the 2nd pair of parallel sides, which makes the one-of-a-kind trapezoid a parallelogram. As soon as two sides (other than the bases) room the exact same length, the trapezoid is referred to as isosceles (an “isosceles trapezoid”), simply as triangles v two equal-length political parties (other 보다 the base) are called isosceles triangles. No other distinctive surname are used for trapezoids v special attributes (like ideal angles or three congruent sides).

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What’s in a word?

The suffix -oid suggests being “like” something, without being fairly the same: a spheroid is sphere-like, however not have to a perfect sphere; a humanoid is like a human, however not human; and also a trapezoid is trapeze-shaped, however not a trapeze. The modern definition of trapeze suggests a circus swing (that is often trapezoidal in shape, the seat being parallel come the bar from which the trapeze hangs), however trapeze initially meant “table,” native tra (‘four’ as in tetra-) pez (‘leg’ or ‘foot’ which we more often view as ped as in pedal or pedestrian).