Which term is used for 'with movement' in music scores?

The term "con moto" is indeed the correct choice for indicating "with movement" in music scores. This Italian phrase is often used as a directive to convey that a particular passage should be played with a sense of motion or tempo, encouraging a lively and energetic interpretation. In practice, this helps performers understand that the music should feel dynamic and fluid, rather than slow or stagnant.

The other terms, while all significant in musical context, refer to different concepts. "Con brio" means "with vigor" or "with spirit," emphasizing a lively character but not specifically addressing the idea of movement as "con moto" does. "Cantabile" translates to "singing" style, focusing more on the lyrical quality of the music rather than its tempo. "Come prima" means "as before," indicating a return to a previous section's performance style or tempo, rather than introducing a sense of movement. Thus, understanding these distinctions clarifies why "con moto" specifically denotes the aspect of “with movement.”