A quadrilateral that is neither a trapezoid nor a parallelogram can be a general irregular quadrilateral, where none of the sides are parallel and the angles are not equal. Examples include a kite (which has two pairs of adjacent sides that are equal but does not have parallel sides) or an arbitrary four-sided shape with no specific properties. Such a shape does not conform to the definitions of trapezoids or parallelograms, which require specific relationships between the sides and angles.
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A rectangle is a parallelogram, and neither a trapezoid nor an isosceles trapezoid could have exactly two opposite right angles.So, a quadrilateral that is not a parallelogram and could have exactly two opposite right angles must be a kite.
parallelogram
Any quadrilateral qualifies as long as it is neither an equilateral trapezoid nor a rhombus. (That includes not a square.)
No. The formal definitions of parallelogram and trapezoid specifically exclude each other.A parallelogram is a quadrilateral with two pairs of parallel sides.A trapezoid is a quadrilateral with exactly one pair of parallel sides.
It may be. A quadrilateral has four sides, but they need not be all the same length, nor parallel to each other. It's true that a parallelogram *is* a quadrilateral.