Relying on someone or something means having confidence and trust in them. There are many other words that can be used instead of relying on, such as counting on, leaning on, depending on, turning to, or banking on. All of these words emphasize the idea of placing one's trust and hope in someone or something. Additionally, words like confide in, put faith in, and entrust can also be used to describe this reliance. When choosing a synonym for rely on, it is important to consider the context and the level of trust or dependence being implied in the situation.