Final answer:
The Western Roman Empire and the Byzantine Empire were initially part of the same Roman empire, but the Eastern half (i.e. the Byzantine Empire) separated from the Western half and outlasted it. therefore, option B is correct
Step-by-step explanation:
The relationship between the Western Roman Empire and the Byzantine Empire can be summarized as follows:B. They were part of the same Roman empire, but the Eastern half (i.e. the Byzantine Empire) separated from the Western half and outlasted it.After the fall of the Western Roman Empire to Northern Eurasian migratory groups, the Byzantine Empire continued to exist and thrive for another thousand years. The Byzantines considered themselves as a continuation of the ancient Roman Empire and referred to themselves as Romans. Although they shared a common history and culture, the Western and Eastern Roman Empires eventually developed distinct characteristics. Despite their separation, both empires had significant impacts on world history, with the Byzantine Empire making contributions in architecture, science, religion, and learning during its existence.
the complete Question is given below:
Which of the following best summarizes the relationship, or connection, between the Western Roman Empire and the Byzantine Empire?
A. D_espite being two different empires, they had friendly relations and a good deal in common; thus they are often conflated as being a part of the same empire.
B. They were part of the same Roman empire, but the Eastern half (i.e. the Byzantine Empire) separated from the Western half and outlasted it.
C. They were fundamentally different empires, despite always being formally ruled by the same emperor and the same church.
D. They were part of the same Roman empire, but the *Eastern half (i.e. the Byzantine Empire) differed mainly in its economy and tax system, for which it is now infamous.