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For plastic, you need a blade with a high tooth count. Look for a blade that says it's made for acrylic or plexiglass. You'll get a much cleaner cut with these blades. You can use a regular blade, but the cut will be more jagged. Before beginning, mark what you want to cut with a permanent marker. With a circular saw, table saw, or saber saw, you can cut a straight line. With a jigsaw, you can cut curves. Use a straight edge if necessary. Placing masking tape over your cut line can help you make a cleaner edge with a jigsaw. Start at one edge of the mark you made. Push the acrylic through the table saw at a steady pace, being sure to keep your fingers out of the way of the saw. Don't move too quickly, as you'll create a rougher edge, but don't go too slowly, as you can melt the plastic. Set up the acrylic glass on 2 beams so that you can cut through it with the jigsaw. Push the jigsaw from the outer edge towards your body along the line you made, so you can constantly keep your eye on the blade and the line. If you get stuck at an angle, pull the jigsaw out the way you came, and cut from the other edge.
Use a blade meant for acrylic. Mark the cut. Push the acrylic through a table saw for a straight cut. Cut a curved line with a jigsaw.