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Answer the following statements with always true, sometimes true, or never true. A quadrilateral is a parallelogram.

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Always true, a quadrilateral is a parallelogram. Remember the theorem: if a parallelogram is quadrilateral the two pairs of opposite sides are congruent.
Sometimes true.

A quadrilateral is a polygon with four sides.  

A parallelogram is a quadrilateral with two pairs of opposite sides parallel.

Not all quadrilaterals are parallelogram.  Examples are trapezoid and trapezium.