The shape that would be under the hierarchy of a quadrilateral but not a parallelogram is:
B. Trapezoid
Explanation:
1. A quadrilateral is a polygon with four sides.
2. A parallelogram is a special type of quadrilateral where opposite sides are parallel and equal in length.
3. A trapezoid is another type of quadrilateral where only one pair of opposite sides are parallel.
4. Unlike a parallelogram, a trapezoid does not have both pairs of opposite sides parallel.
5. Therefore, a trapezoid fits under the hierarchy of a quadrilateral but not a parallelogram.