The phrase 'mirror the mind' refers to the idea of reflecting someone's thoughts, feelings, or personality traits. Synonyms for 'mirror the mind' include 'embody' which often refers to a physical representation of a personality trait or emotion. 'Reflect' and 'echo' both suggest the idea of returning to someone exactly what they are projecting. 'Impersonate' is another synonym, which suggests that someone is essentially copying the actions or mannerisms of another person. 'Portray' and 'personify' are also appropriate synonyms as they imply that someone is representing the essence of another person through their words or actions.