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Mathematics 20 Online
OpenStudy (anonymous):

Which of the following properties is true for a trapezoid? It has only one pair of parallel sides. It has two pairs of parallel sides. All of its sides are the same length. It has four right angles

OpenStudy (kyanthedoodle):

This is a trapezoid: |dw:1442681827481:dw| Which sides of it are parallel, if any?

OpenStudy (jackthegreatest):

lol nice example @KyanTheDoodle

OpenStudy (jackthegreatest):

@kinggg the answer is either a or b, look at the pic and ull know the answer

OpenStudy (jackthegreatest):

c and d r definitely invalid

OpenStudy (kyanthedoodle):

D is incorrect because a right angle is completely straight and even. The angles that you are looking at within a trapezoid are either obtuse or acute. C is incorrect because the top base of the trapezoid is without a doubt smaller than the bottom base.

OpenStudy (bossvideogamer21):

a and d

OpenStudy (jackthegreatest):

d is not true @Bossvideogamer21

OpenStudy (jackthegreatest):

a is

OpenStudy (jackthegreatest):

and there is only one answer, a

OpenStudy (bossvideogamer21):

ur right

OpenStudy (mathmate):

It is unfortunate that the question is based on the "popular" definition of a trapezoid, which is "a quadrilateral with \(exactly\) one pair of parallel sides", in which case the choice of answer is obvious. Mathematically, a trapezoid is "a quadrilateral with \(at~least\) one pair of parallel sides". Examples, see http://study.com/academy/lesson/trapezoid-definition-properties-formulas.html or https://en.wikipedia.org/wiki/Trapezoid Based on the mathematical definition of a trapezoid, rectangles, squares, rhombuses, parallelograms are all trapezoids, hence all of the four answers are true. See second link for illustrated example, and under "special cases of trapezoids". This follows the same logic as "a square is always a rectangle, but a rectangle is not always a square". A square is just a rectangle with more restrictions. Until we know the lengths of the sides, it remains a rectangle! I do not endorse the use of the restrictive "popular" definition of trapezoid for math purposes, as it will cause misunderstanding of the classification of shapes.

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