Final answer:
Queen Mary I was Henry VIII's daughter and reigned during the Tudor period; she was succeeded by Queen Elizabeth I and was known as 'Bloody Mary' for her persecution of Protestants.
Step-by-step explanation:
The statements about Queen Mary I of England, also known as Mary Tudor, include several accurate points. First, Mary was the daughter of Henry VIII and his first wife, Catherine of Aragon. She indeed reigned during the Tudor period, specifically from 1553 to 1558, upon the death of her half-brother Edward VI. Queen Elizabeth I, the daughter of Henry VIII and Anne Boleyn, succeeded Mary after her death. Finally, Mary earned the nickname 'Bloody Mary' due to the persecution and execution of Protestants during her attempts to restore Catholicism in England, which contrasted with her sister Elizabeth I's more moderate approach that aimed to balance the religious factions within the realm.