Meaning

A trapezoid is a quadrilateral with at the very least one pair that parallel sides. No other features matter. (In English-speaking countries outside of phibìc America, the tantamount term is trapezium.)

The parallel sides may be upright , horizontal , or slanting . In fact, through the definition, also this

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is a trapezoid because it has “at the very least one pair the parallel sides” (and no other functions matter), as room
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. In this figures, the various other two sides room parallel, too and also so they fulfill not just the requirements for being a trapezoid (quadrilateral with at the very least one pair the parallel sides) but likewise the demands for gift a parallelogram.

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The definition given above is the one that is embraced within the mathematics ar and, increasingly, in the education community. Plenty of sources pertained to K-12 education and learning have historically restricted the an interpretation of trapezoid to call for exactly one pair the parallel sides. This narrower see excludes parallelograms together a subset of trapezoids, and leaves just the numbers like , , and also . This narrower meaning treats trapezoids as if they room triangles with “one vertex cut off parallel come the opposite side.” also with the limited definition, the is important for student to view non-standard examples — asymmetric prefer the green and also tan examples, and in non-“level” orientations choose the red example — so the the picture that they construct focuses top top the vital feature: the pair the parallel sides.

Classifying trapezoids

Parallelograms v special features, favor right angles or all congruent political parties (or both), are given their very own distinctive names: rectangle, rhombus, and square. The just special feature of a trapezoid the is vested its very own distinctive surname is the 2nd pair of parallel sides, which provides the special trapezoid a parallelogram. When two political parties (other than the bases) are the same length, the trapezoid is described as isosceles (an “isosceles trapezoid”), simply as triangles with two equal-length political parties (other 보다 the base) are dubbed isosceles triangles. No various other distinctive name are used for trapezoids with special attributes (like ideal angles or 3 congruent sides).

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What’s in a word?

The suffix -oid argues being “like” something, there is no being fairly the same: a spheroid is sphere-like, but not have to a perfect sphere; a humanoid is choose a human, but not human; and also a trapezoid is trapeze-shaped, however not a trapeze. The modern definition of trapeze says a circus waver (that is frequently trapezoidal in shape, the seat gift parallel to the bar from which the trapeze hangs), yet trapeze originally meant “table,” indigenous tra (‘four’ together in tetra-) pez (‘leg’ or ‘foot’ i m sorry we much more often watch as ped together in pedal or pedestrian).