Final answer:
Luke 2:2 refers to a census occurring during the time Quirinus was governing Syria, which is linked with the birth of Jesus Christ as it caused Joseph and Mary to travel to Bethlehem.
Step-by-step explanation:
According to Luke 2:2, the event that took place while Quirinus was governing Syria was a census of the entire Roman world. This census was significant because it is historically associated with the birth of Jesus Christ, as it is the reason why Joseph and Mary traveled to Bethlehem, which led to Jesus being born there.