The point $(0,0)$ is reflected across the vertical line $x = 1$. Its image is then reflected across the line $y=2$. What are the coordinates of the resulting point?
To reflect a point across a vertical line, I need to change its x-coordinate but keep its y-coordinate the same. So, reflecting $(0,0)$ across $x=1$ gives me $(2,0)$. To reflect a point across a horizontal line, I need to change its y-coordinate but keep its x-coordinate the same. So, reflecting $(2,0)$ across $y=2$ gives me $(2,4)$. Therefore, the resulting point has coordinates $(2,4)$. 