There are numerous synonyms for the phrase 'act properly' which refers to conducting oneself appropriately in various situations. Some of these synonyms include behaving correctly, following protocol, adhering to rules, acting sensibly, observing decorum, displaying etiquette, exhibiting professionalism, and conducting oneself with dignity. These synonyms can be used interchangeably depending on the context and the expected conduct. For instance, in a formal setting, exhibiting professionalism and adhering to protocols are crucial, while in an informal setting, behaving correctly and acting sensibly are more important. Ultimately, the idea behind all these synonyms is to encourage individuals to act in a way that reflects positively not only on themselves but also on those around them.