# Classifying quadrilaterals

Given n lines, what is the maximum number of trapezoid shaped regions you can make? We know trapezoid is a quadrilateral, and thus, we need at least 4 lines to get at least 1 trapezoid. Given n lines, which number of trapezoid shaped regions can you make? For example, given 5 lines, you can make 0-2 trapezoid shaped regions. Can you make 3 or more? What about using n lines to construct other types of quadrilaterals: squares, rectangles, rhombuses, kites, quadrilaterals in general?