It is a quadrilateral with parallel sides. This includes a square and rectangle, given that a side is parallel with another side.
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If the diagonals of a parallelogram are congruent then the parallelogram is a rectangle.
There are lot of shapes in geometry. It is called polygons. Triangle, trapezoid, circle, parallelogram, rhombus, rectangle, diagonal, square etc. Parallelogram, rhombus, rectangle, diagonal, square, and trapezoid are quadrilaterals.
I hope you know the definition of the parallelogram. i.e.,In geometry, a parallelogram is a quadrilateralwith two sets of parallel sides.so naturally rhombus and rectangle are special case of parallelogram. That means every rhombus is parallelogram similarly every rectangle is a parallelogram. But converse need not be true.So parallelogram not necessarily a rhombus or a rectangle.GMG.
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No, a parallelogram is not a trapezoid.