Abstract: Glass cutting apparatus which includes a base with a fixed, glass positioning fence along one edge thereof and a removable, pivotable glass cutter guide which can be locked to the base at a selected angle relative to the fixed fence, allowing glass to be scored at any selected angle with respect to the fence. A variety of accessories allow the glass being worked to be securely positioned on the base; one of these is a removable fence against which the glass may be positioned instead of against the fixed fence. A holder for a glass cutter which is slidable along and then fixable to the pivotable glass cutter guide allows the system to be employed to cut arcs as well as straight lines. Optionally, the system may be employed with yet another accessory which allows the center of an arc being cut to be shifted to any selected location on the base of that system.