Here's what rhymes with distinguish.

Consider these alternatives

differentiate / state distinguishing / extinguishing identify / high define / design describe / right classify / high characteristics / statistics types / rights perceive / leave characterize / size understand / hand detect / effect recognize / size compare / their imitate / state indistinguishable / distinguishable categorize / size hence / sense refer / her whereas / has tend / end therefore / wherefore confuse / whose traits / states communicate / great example / sample sometimes / times these / disease able / table furthermore / more