Final answer:
The term that describes the process of conferring Christ's power and continuing the apostolic ministry to a bishop, priest, or deacon is called Sacred Ordination. It is one of the seven sacraments and part of the apostolic succession, giving the ordained the authority to serve the church and perform sacraments.
Step-by-step explanation:
The term that describes the process by which a man is configured to Christ and given the power to continue the apostolic ministry as a bishop, priest, or deacon is Sacred Ordination. This process, referred to in the excerpts provided, is part of the seven sacraments recognized in traditional Christian practices. Within Christianity, particularly in the hierarchy established by the Catholic Church, ordination is the rite at which the sacrament of Holy Orders is conferred. During this ceremony, a bishop lays hands on the candidates, invoking the Holy Spirit to give them the grace and power to perform their ecclesiastical duties, which vary depending on whether they are ordained as bishops, priests, or deacons.
Through Sacred Ordination, the individual becomes part of the apostolic succession, a line of ordained ministers stretching back to the apostles themselves. It is through this lineage and the unction given by a bishop or the pope that the individual is believed to have the authority to carry out the rituals and serve the community of the church, such as administering the sacraments including baptism, the Eucharist, penance, and even ordination of others.