Not all quadrilaterals are rectangles.
Some quadrilaterals are rectangles, and the rest are not.
However, all rectangles are quadrilaterals.
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A quadrilateral is a polygon with four sides. A rectangle is a quadrilateral
A rectangle is always a quadrilateral and a parallelogram.
So sometimes yes A quadrilateral is a polygon with 4 sides. A rectangle is a parallelogram with 4 right angles. A quadrilateral is sometimes a rectangle. Here is an example of a quadrilateral that is not a rectangle:
A rectangle
It is a parallelogram or an isoangular quadrilateral.