jmc

The points $B(1,1)$, $I(2,4)$ and $G(5,1)$ are plotted in the standard rectangular coordinate system to form triangle $BIG$. Triangle $BIG$ is translated five units to the left and two units upward to triangle $B^{\prime }{I}^{\prime }{G}^{\prime }$, in such a way that $B^{\prime }$ is the image of $B$, $I^{\prime }$ is the image of $I$, and $G^{\prime }$ is the image of $G$. What is the midpoint of segment $B^{\prime }{G}^{\prime }$? Express your answer as an ordered pair.