The phrase "take fire" refers to the beginning or starting point of a situation. There are many synonyms for this phrase, including "ignite," "kindle," "spark," "trigger," "stimulate," "provoke," and "incite." These words all convey the sense of something being started or initiated. "Ignite" can be used when referring to a flame, as in "the match ignited the paper." "Kindle" refers to the starting of enthusiasm or passion, as in "her words kindled a fire within me." "Spark" can be used to refer to the starting of a new idea, while "incite" implies a more negative connotation of starting trouble or conflict.