How did medieval Europe lay the groundwork for the rebirth of Europe (Renaissance)? What conditions existed that allowed Europe to evolve out of medieval conditions?
I'm not going to answer for you. Look up "The Enlightenment" for insight. And keep in mind that the "Dark Ages" were not as "dark" as we might think. Much scholarship and intellectual advancement took place in Medieval Europe, but usually under the tutelage of the Christian Church. Perhaps these hints will help you, but make sure YOU understand the transitions that took place.
This article will give you a good start.
http://en.wikipedia.org/wiki/The_Renaissanceposted by Ms. Sue
Also look into the invention of the printing press as a major change that enabled the Renaissance and the Enlightenment. How did that take scholarship and the spread of ideas out of the almost sole hands of the Church?