In this paper, we investigate the envelopes created by pseudo \(\text{- }\) circle families in the Minkowski plane. Applying the theory of Legendre curves, we investigate the geometric properties of envelopes of pseudo \(\text{- }\) circle families, and establish the correlations between envelopes and some associated curves, such as evolutes, pedals and primitives. Recognizing that evolutoids, pedaloids and primitivoids are the extended curves of evolutes, pedals and primitives respectively, we additionally reveal the relationships between these extended curves and the envelopes of pseudo \(\text{- }\) circle families. Finally, we study some applications of our main result.
