There are several synonyms for the phrase "cross the bridge." One of them is "pass over," which implies the idea of moving through a structure to reach the other side. Another synonym is "traverse," which connotes the sense of traveling through a landscape or terrain. "Transit" is also a possible synonym, as it reflects the sense of moving from one place to another. Additionally, "crossing" and "bridging" can be used interchangeably with "cross the bridge." All of these synonyms capture the essence of the original phrase and can be used to convey the concept of moving from one side of a bridge to the other.