Method and apparatus for removing a peripheral portion of a glass sheet. The glass sheet is placed in a predetermined position. A score line is formed on a major surface of the glass sheet. The score line demarcates a central region and a peripheral portion. A push bar is moved in a direction of a back-up bar assembly such to contact the major surface along the peripheral portion. The push bar is further moved in the direction to cause the peripheral portion to separate from the central region, and then become captured between the push bar and the back-up bar assembly. With some embodiments, the glass sheet is vertically oriented and the peripheral portion is not constrained during formation of the score line.