. The quadrilateral having one pair of opposite sides parallel out of both the
pairs, what type of quadrilateral is it?
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A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.
Sometimes people define trapezoids to have at least one pair of opposite sides parallel, and sometimes say there is one and only one pair of opposite sides parallel. The parallelogram fits the "at least one" version of the definition because it has two pairs of opposite sides parallel, therefore it falls into the category of being both a trapezoid and a parallelogram. The parallelogram does not fit the "one and only one" version of the definition. So how students answer this depends on their definition
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