A quadrilateral can be classified based on its sides, angles, and symmetry. By sides, it can be categorized as a trapezoid (one pair of parallel sides), parallelogram (two pairs of parallel sides), rectangle (parallelogram with right angles), rhombus (parallelogram with equal sides), or square (both a rectangle and a rhombus). By angles, it can be classified as convex (all angles less than 180 degrees) or concave (at least one angle greater than 180 degrees). Additionally, quadrilaterals can be classified by their symmetry, such as symmetric or asymmetric.
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