The antonyms for the word "dangles over" would be words that convey stability, firmness, and steadiness. Some possible antonyms could be "rests upon," "sits firmly on," "is stationed securely," or "is supported by." These antonyms suggest a state of safety and security, without any risk of falling or slipping. Additionally, phrases like "stands tall above," "rises high over," or "reaches upwards towards" could also serve as antonyms, suggesting a sense of elevation and grandeur that is grounded and rooted in a strong foundation. Ultimately, the antonyms for "dangles over" would evoke a sense of safety and security, contrasting with the precariousness implied by the original word.