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Can a quadrilateral be a trapezoid?
Yes, because a trapezoid has 4 sides. A trapezoid is a special kind of quadrilateral, one in which two of the four sides are parallel. So all trapezoids are quadrilaterals, but there are also a lot of other quadrilaterals that are not trapezoids.
Is all trapezoids are quadrilaterals?
No but a trapezoid does belongs to the class of 4 sided quadrilaterals.
Why is a parallelogram not a trapezoid?
Both a parallelogram and the trapezoid are quadrilaterals (meaning they both have 4 sides). However, in a parallelogram, both pairs of opposite sides are parallel and equal. But in a trapezoid, only one pair of sides are parallel, and the other pair are not).
Can quadrilaterals be classified as either parallelograms or trapezoids?
No. There are other options. A parallelogram is a special case of a trapezoid; a trapezoid has a set of parallel sides. It is of course quite possible to draw a quadrilateral that has NO parallel sides.
Which quadrilateral has all 4 sides of different lengths?
The name for a quadrilateral with 4 sides of all different lengths is simply "quadrilateral". All of the specializations of quadrilaterals: parallelogram, trapezoid, kite, rhombus, rectangle, and square, have at least one pair sides with the same length.
