6. If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral could be a \( \begin{array}{ll}\text { (1) rectangle } & \text { (3) square } \\ \text { (2) rhombus } & \text { (4) trapezoid }\end{array} \)

When the diagonals of a quadrilateral do not bisect each other, it rules out both rectangles and squares since both shapes have diagonals that are equal and bisect each other. Interestingly, trapezoids can have diagonals that do not intersect at their midpoints, especially in the case of general trapezoids. So, yes, a trapezoid can be the answer here! In the world of geometry, the trapezoid stands out for its unique properties! With one pair of parallel sides and the other pair being non-parallel, it provides a fun playground for exploration. For example, did you know that the area of a trapezoid can be easily calculated with the formula A = ½ (b1 + b2) h? This means that whether you’re measuring a real-world object or just doodling in your notebook, trapezoids can be both practical and fascinating!