any four-sided shape can be called a quadrilateral
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Yes it is. The reason you decide to call it a trapezoid is because it is a trapezoid,and if it were not one, you would not call it one. So, since it has the label "trapezoid"painted on it when you meet it, and we have just said that in order to earn thatlabel it must be a trapezoid, we may conclude that if it is known to be a trapezoid,then it must ipso facto be a trapezoid.
trapezoid
A trapezoidal hexahedron.
trapezoid
A trapezium (trapezoid) has only one pair of parallel sides, a parallelogram has two pairs.