Final answer:
The alternative pathway and the lectin pathway are the two complement pathways considered part of the classical pathway. They are initiated when the C1 protein reacts with antibodies that have bound to an antigen, leading to the destruction of pathogens.
Step-by-step explanation:
The two complement pathways considered part of the classical pathway are the alternative pathway and the lectin pathway. The classical pathway is initiated when the C1 protein reacts with antibodies that have bound to an antigen. This triggers a cascade of reactions that ultimately leads to the formation of the membrane-attack complex (MAC) and the destruction of pathogens.