A point P(x,y)P(x, y)P(x,y) remains fixed under a transformation T(x,y)=(x+k,y+m)T(x, y) = (x+k, y+m)T(x,y)=(x+k,y+m). What does this imply?
k=0k=0k=0 and m=0m=0m=0
The transformation is a reflection
The transformation is a dilation
No point can be fixed