The phrase "on brink" indicates a state of being close to something, typically a negative or challenging situation. Antonyms for "on brink" include "secure," "stable," and "settled." These words suggest a sense of certainty and being in control of one's circumstances. Other antonyms to consider are "safe," "steady," and "firm," which imply a foundation on which to build and grow. When we say someone is "on brink," they are often described as being at risk or in danger. Using antonyms like "guarded," "cautious," and "protective" can communicate a sense of prudence and foresight, indicating that one is taking steps to avoid danger or risk.