The phrase "lie on" can be expressed with a variety of synonyms that convey similar meanings. Some of the commonly used synonyms of "lie on" include rest on, be situated on, repose on, recline on, lean on, be supported by, be propped upon, be based on, be founded on, lie upon, be placed on, and be located on. These synonyms can be used in different contexts, such as describing the position of an object or the foundation of an idea or concept. Using synonyms can enrich one's vocabulary and allow for more precise and varied expression in writing and speech.