Question for the "name" on the N-400

ylc726

Registered Users (C)
On N-400 Part 1, it asks you to write your Legal name and then your name exactly as it appears on your PR card. My question is on my PR card only shows my last name and first name (which is my English name) but legal first name on SS# is my full English (e.g. Paul) and Chinese (translated into English) name. In this case, do I need to submit any document if the legal name and PR name is little bit different?
Thanks!
 
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