Final answer:
The statement is true; Michelangelo and Raphael shared a great mutual respect, as demonstrated by Raphael's inclusion of Michelangelo in his School of Athens painting and historical accounts of their interactions.
Step-by-step explanation:
The statement that Michelangelo and Raphael shared a great mutual respect for one another is generally considered true. Michelangelo, known not just for his sculptures but also his poetry, expressed a deep reverence for both the human form and divine influence in his works. In contrast, Raphael, while also a master of his craft, often incorporated grace, diligence, and modesty into his character and artwork. This mutual respect is perhaps most famously demonstrated in Raphael's Alba Madonna and School of Athens, where he pays homage to Michelangelo by including an image of him in the painting. Their relationship indicates a level of respect and recognition of talent, despite any rivalry that may have existed at the time.
Accounts from contemporary and historical sources, including Giorgio Vasari, suggest that while there might have been a professional rivalry, there was also a shared admiration. Raphael recognized the genius in Michelangelo, evident when he rushed to include Michelangelo's likeness in his School of Athens after being inspired by the Sistine Chapel frescoes. Furthermore, the modifications to Michelangelo's artwork after the Counter Reformation, made posthumously, underline the respect and admiration he commanded throughout his career.