Which statement describes a similarity between the roman empire and the byzantine empire?
both empires shared like laws and traditions.
both empires originated in western europe.
both empires required all citizens to be fluent in latin.
both empires considered the emperor the ultimate religious authority.

Both empires shared like laws and traditions.  

Explanation:

The Byzantine Empire  was the society that developed in the eastern Roman Empire after the fall of the western Roman Empire. Its capital was Constantinople.

Regarding traditions, there was a   split in Christianity between East and West, called the Great Schism: the Church in the West became the Roman Catholic Church, while the Eastern Orthodox Church continued to grow in the East, based in the city of Constantinople.

Considering laws, the laws of the Byzantine Empire, called Justinian Code, was based on  the Twelve Tables of Roman law. In that matter, these laws became a basis for laws in many European nations.