A square can be divided into two equal parts with any cut through the center. The first question that arises is, Would any cut through the center of a regular polygon divide it into two equal parts? If not, the second question is, What kind of lines through the center of the polygon would cut it into two halves? However, many objects are not regular polygons, and an arbitrary convex polygon does not have a center. Thus, it is natural to ask a third and more challenging question: How can an arbitrary convex quadrilateral, pentagon, or hexagon be divided into two halves by using one line? This article answers these questions by using methods of elementary geometry. (Contains 14 figures.)