The Garter is a band worn to keep up a stocking, sock or chausses to the leg. Usually a garter is worn around the leg, but sometimes stockings are attached to other types of garments with garters (garter belt, corselet, sock braces, girdle, etc.).
The Girdle is a form-fitting undergarment with garters. Distinguishes a Girdle from a Garter belt in that it is wide, reminiscent of a tight-fitting short skirt, hides the lower torso, extending below the hips, and worn often to shape or for support.