Is being "sinless" the same as "being perfect"?

Jesus taught us to [be perfect](http://www.biblegateway.com/passage/?search=Matthew%205:48&version=NIV1984) He also taught us to [be without sin](http://www.biblegateway.com/passage/?search=Matthew%205:29-30&version=NIV1984) . Furthermore, He came to [make us perfect](http://www.biblegateway.com/passage/?search=Hebrews+12:2&version=NIV1984) and to [take away our sin](http://www.biblegateway.com/passage/?search=John+1:29&version=NIV1984) . My question is: are these two states identical? If I were perfect, I would presumably be sinless. But if I were sinless, would that in and of itself be enough to be perfect? Or would I just be *"not doing some things"* but I would need to change other things in my life to meet my redemptive potential?