Clean the glass well with the cleaner of your choice and a soft cloth. You can use anything from soap and water to a brand name window cleaner. Dry the clean glass with a soft clean cloth.
Pour a small amount of lemon juice on a soft cloth and gently rub the scratch. Apply a small amount of pressure with the cloth while rubbing the scratch.
Apply a small amount of whitening toothpaste on the scratch and leave it on for five minutes. Wipe the toothpaste off with a soft wet cloth.
Apply clear fingernail polish to the scratch. This can cover superficial scratches on glass. If the preceding steps are not effective for your damaged glass, proceed to the next step.
Apply Jeweler's rouge to a lamb's wool polishing pad. Wear a dust facemask and goggles to protect yourself during the buffing process. Use the polishing pad on an electric buffer at medium speed directly on the scratches.
Mix one-half ounce of ammonia with two cups of warm water in a spray bottle. Put on rubber gloves in addition to the safety equipment you are already using. Spray the buffed area with the ammonia solution and then wipe with a paper towel.