A quadrilateral is any plane figure bounded by four straight lines.
There are no conditions in this definition that specify if any or all of the lines are of equal length or parallel, or if any or all of the interior angles are equal. When these conditions are applied then the quadrilateral so formed is usually given a special name.
A rectangle is a special type of quadrilateral. It has both pairs of opposite sides parallel, opposite sides are of equal length and each of the vertex (interior) angles equals 90°.
All quadrilaterals are therefore not rectangles - just some of them.
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Yes all rectangles are quadrilaterals.
Yes, all rectangles are quadrilaterals because they have four sides and all quadrilaterals have four sides.
All squares and rectangles belong to the class of 4 sided quadrilaterals
Squares, parallelograms, rhombuses, and trapezoids are quadrilaterals that are not rectangles.
Not necessarily. All parallelograms are quadrilaterals but not all quadrilaterals are parallelograms. Parallelograms are more specific instances of quadrilaterals. Its like saying all squares are rectangles but not all rectangles are squares.