A number of renderings are possible here, one of which in my view is indeed conveyed perfectly well by "reflect" as most dictionaries will bear out. By way of example :
http://www.thefreedictionary.com/reflect
It is a question of phrasing, perception and personal preference too. Sometimes a literal rendering can work but it is not a one size fits all thing as you will no doubt agree. After all, a purely literal rendering here would be "send back" and perhaps one thing upon which we may all agree is that ain't noone being sent nowhere here!