When describing someone holding out one hand, there are numerous synonyms that can be used to paint a clearer picture of the action. Common alternatives to holding out one hand include offering, presenting, extending, reaching, and proffering. Each of these words conveys a slightly different nuance. "Offering" is a more generalized synonym that indicates a willingness to give or share something. "Presenting" implies a certain formality or ceremonial aspect, as if bestowing a gift. "Extending" often suggests a further physical reach to grab something. "Reaching" indicates a stretching out, while "proffering" is more formal, like making a formal offering or gesture of respect.