Point $A$ has coordinates $(x,6)$. When Point $A$ is reflected over the $y$-axis it lands on Point $B$. What is the sum of the four coordinate values of points $A$ and $B$?
The coordinates of point $B$ are $(-x,6)$.  The sum of all four coordinates is $x+6+(-x)+6=\boxed{12}$.
12
Level 2
Geometry
Problem: Point $A$ has coordinates $(x,6)$. When Point $A$ is reflected over the $y$-axis it lands on Point $B$. What is the sum of the four coordinate values of points $A$ and $B$?
Solution:<|START_OF_LATENT|><|PRIOR_PREFIX|>To find the coordinates of Point B after reflecting Point A over the y-axis, we need to understand the properties of reflection in a Cartesian coordinate system. The reflection of a point $(x, y)$ over the y-axis results in the point $(-x, y)$. 

Given Point A has coordinates $(x, 6)$, reflecting it over the y-axis gives us Point B with coordinates $(-x, 6)$. 

Next, we need to calculate the sum of the coordinates of both points A and B. The coordinates of Point A are $(x, 6)$, which means the sum of these coordinates is $x + 6$. The coordinates of Point B are $(-x, 6)$, leading to a sum of $-x + 6$. 

Now, we combine these sums: 
Sum of coordinates of A: $x + 6$ 
Sum of coordinates of B: $-x + 6$ 

Adding these two sums together:
$(x + 6) + (-x + 6) = x - x + 6 + 6 = 0 + 12 = 12$.

Thus, the final answer is $12$.<|END_OF_LATENT|> The final answer is $12$.