Final answer:
Roger Boskovich rehabilitated the reputation of Galileo Galilei with the Catholic Church by supporting the validity of his heliocentric findings, which the Church had initially opposed but later acknowledged to be an error. The correct option is A.
Step-by-step explanation:
Jesuit astronomer Roger Boskovich rehabilitated the reputation of Galileo Galilei with the Catholic Church. Galileo's support of the heliocentric cosmology, which was first introduced by Nicolaus Copernicus, led to his prosecution by the Inquisition and his subsequent house arrest.
This heliocentric model placed the Sun at the center of the universe rather than the Earth, which was a radical departure from the geocentric model endorsed by the Church at the time.
After Galileo's work, despite initial opposition by the Catholic Church, Earth was acknowledged as one of the planets orbiting the Sun, but it took until 1992 for the Church to publicly admit that it had erred in censoring Galileo's ideas. The correct option is A.