(Brief) Backyard visitor

I was home this afternoon.  It was very sunny.  I was turned toward the back window and saw a flash of white coming toward a tree just past our back fence.  I knew it was a hawk...but what kind?

This a quick zoomed in picture.  I tried sneaking outside to get a better look but it flew away.

I have seen Cooper's Hawks in these woods including one that flew toward to about the same spot.  And I've also seen what I thought were Red-tailed Hawks in the woods as well...later reasoning they might have been Cooper's.  But it seems there is an overlap of territory or it was just a visitor but this appears to be a Red-tailed Hawk.  I checked with my expert (nephew Jon) and that is what he was thinking.  Seeing it fly toward me and away from me in the late afternoon sun gave me the clear memory of seeing white under the wings.  So the wing color, general shape and tail suggest Red-tailed.