No the game may go on but if its in this case then yes its worth taking a draw.
king bishop vs king rook is a draw inevitable

It often comes down to this crucial distinction (which is why if you, as the defending side, have to run toward the corner, pick the one with the different-colored square than your bishop):

It often comes down to this crucial distinction (which is why if you, as the defending side, have to run toward the corner, pick the one with the different-colored square than yo
ur bishop):
Cant see your diagrams Andy, but yeah, it's very easy to screw this up. I'd play it out aginst almost anybody if I had the Rook.

Click on these links (the first one is to download a pdf file on K+R vs K+B endings)
http://www.chesskit.com/training/endgame/KRkb/1/index.php
sci.brooklyn.cuny.edu/~kopec/Publications/Publications/O_29_C.pdf
http://zomobo.net/rook-and-bishop-versus-rook-endgame
http://chessstuff.blogspot.com/2005/04/rook-vs-bishop-4-endings.html
http://gameknot.com/annotation.pl/complicated-endgame-study-no-2?gm=8809

If the person with the bishop, knows how to play, its a draw.
Rook versus a bishop: this is usually a draw. The main exception is when the defending king is trapped in a corner that is of the same color square as his bishop (Nunn 2002a:31) (see Wrong bishop#Rook versus bishop). If the defending king is trapped in a corner that is the opposite color as his bishop, he draws (seeFortress_(chess)#Fortress in a corner). See the game of Veselin Topalov versus Judit Polgar, where Topalov defended and drew the game to clinch a win of their2008 Dos Hermanas match.[7]
https://en.wikipedia.org/wiki/Pawnless_chess_endgame#Rooks_and_minor_pieces
if no one blunders is a draw inevitable