Final answer:
The significance of William of Normandy invading England was to establish Norman rule over England and assert William's claim to the English throne.
Step-by-step explanation:
The significance of William of Normandy invading England was to establish Norman rule over England and assert William's claim to the English throne. By successfully conquering England in the Battle of Hastings in 1066, William became the first Norman King of England, also known as William the Conqueror. This invasion marked the end of the Anglo-Saxon era and the beginning of the Norman era in England.