Answer:
The similarity shared between the fall of the Han Dynasty in China and the Roman Empire in Europe is that they both broke up into separate kingdoms.
Step-by-step explanation:
The Han Dynasty saw its fall because of two main reasons, epidemic and political conflict.
The epidemic disease that spread in the Han dynasty during the 2nd and 3rd CE was smallpox and measles. Due to this epidemic, large population of the Han Dynasty was destroyed.
Another reason was political conflict. As the number of factions grew in the dynasty, the rulers were unable to handle the factions, which brought conflict between the factions.
Therefore, after the Han dynasty saw its fall, it broke into separate kingdoms. This is similar to Europe after the fall of Roman empire.