Final answer:
The statement that ballet was part of the court of Louis XIV is true. The 'Sun King' was a patron of the arts and organized grand spectacles, including ballets, at Versailles, promoting the evolution of ballet as a vital cultural activity in France.
Step-by-step explanation:
Ballet was indeed part of the court of Louis XIV, which is a true statement. King Louis XIV, the 'Sun King', was a significant patron of the arts and is credited for shaping the future of ballet. He established a culture of lavish spectacles at the Palace of Versailles, including ballets, balls, and various entertainments. Ballet evolved as both an art form and a courtly activity, supported and enjoyed by the aristocracy who lived at Versailles under the king's invitation. Louis XIV even performed in several ballets himself, lending an air of regal endorsement to the art.
The organization of ballet and other arts in France during his reign was centralized through the Royal Academy of Fine Arts. This academy set the standards and regulations for art and artists, fostering an environment where ballet could advance as part of French culture. Thus, Louis XIV’s patronage was instrumental in the development of ballet during his reign.