Answer:
The correct answers are C) They were both hereditary monarchs, and E) They were both absolutist rulers.
Step-by-step explanation:
I did the practice questions over the Western Transformation: 1400-1800s - Absolutism, and originally got this question wrong but then it explained it and stated that these were the correct answers.
Here is the explanation from Progress Learning/USATestPrep:
Both Louis XIV and Peter the great were absolutist rulers who were hereditary monarchs. (Peter was a Romanov, Louis a Bourbon.) Neither lost power due to a revolution (Louis XVI was later), Russia hoped to "westernize" their nation, and only France was a dominant power at the time. Peter helped to transform Russia into a position of dominance, but that had not "long" been the case.