Final answer:
In relationships, the phase where individuals mirror each other's behaviors is known as convergence or matching. This reflects the concepts of the looking-glass self and Goffman's dramaturgy, signifying comfort and rapport.
Step-by-step explanation:
The stage in the relationship in which two people involved begin mirroring each other's behavior in manner, dress, and language is called the convergence or matching phase. This behavioral mirroring often happens unconsciously and can signify a high level of rapport and comfort within the relationship. The concept is closely related to the theories of the looking-glass self and Goffman's dramaturgy, where individuals perform roles and manage impressions to influence how they are perceived by others. In intimate relationships, this can manifest through self-disclosure, which strengthens bonds and the sense of mutual attraction.