examday

/TMUA

The triangle with vertices $(1,3)$, $(3,1)$ and $(2,4)$ is reflected in the line $x+2y=2$.

Recall that the centroid of a triangle with vertices $(x_1,y_1)$, $(x_2,y_2)$ and $(x_3,y_3)$ is

If the centroid of the reflected triangle is $(\alpha,\beta)$, what is the value of