This is how I cut plexi for frames and such, and it should work for your application assuming you have enough to cut off. If you're only cutting off a very small amount you'll have to try a different method.
Take the fresnel and lay it on a table covered w/ a soft cloth, grid side up. Mark how much you want to cut off w/ a felt tip pen and ruler, then take a box cutter w/ a new blade and find a 1x1, 1x2, etc. Lay another soft cloth on top of the fresnel where the 1x1 will be laid down to give you a straight cut, and either gently clamp it down on each end, or have someone on the other side of the table reach over and hold the board down firmly right at the edge of the fresnel on both sides. Clamps are preferred. Then slowly cut the line on the fresnel. Try to do it in one cut because if you do it twice or more the blade will usually walk outside the first line. You really need a straight, somewhat deep score
Once you have that done, scoot the screen to the very edge of the table (you need a straight edged table for this), lay some extra cloth on top of the fresnel, and either go w/ the clamped 1x2 or have your helper hold it down. Position the fresnel exactly on the edge of the table, take two pair of big pliers, grip the fresnel on the piece you wish to break off, and snab it off w/ a quick and firm downward movement. If it breaks in places and doesn't make a clean snap all the way across, no worries. Grab the pieces w/ the pliers and snap or cut them off. Needless to say you need a spotlessly clean table for this, and lay the fresnel on top of a thin cloth on the table if you have any doubts. The other option is to use a large picture book. Scribe your fresnel, open the book to the middle, put the screen in there, close the book, have someone hold it firmly closed on top of your table, and try the snapping off process.
If you only have a small edge to trim, John's way will work better. I would use a file, but sandpaper will work. Whatever you do, just make sure to have the fresnel firmly clamped down somehow, and protected from sanding/filing dust.