Transitive trust is a two-way relationship automatically created between parent and child domains in a Microsoft Active Directory forest. When a new domain is created, it shares resources with its parent domain by default, enabling an authenticated user to access resources in both the child and parent.
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In mathematics, the transitive property of equality states that if a = b and b = c, then a = c. In an Active Directory transitive trust relationship, if domain A trusts domain B, and domain B trusts domain C, then domain A trusts domain C.