To find the coordinates of point R' after reflecting point R across a vertical line of reflection, we first need to determine the position of the vertical line of reflection, which isn't specified directly in your message.
However, from the details provided:
- R is at the coordinates (-11, 1).
Let's assume the vertical line of reflection you are referring to is the line x = -x_line. The reflection process for a point (x, y) over a vertical line x = a is given by the formula:
\[ (x', y') = (2a - x, y) \]
Where (x', y') are the coordinates of the reflected point.
If we take one of the provided options of a possible vertical line (e.g., x = -3, since it is one of the answer options), our reflection formula would place R' as:
Given R = (-11, 1), \[ (-11, 1) \text{ reflected over } x=-3: x' = 2(-3) - (-11) = -6 + 11 = 5 \] So, in this case, R' = (5, 1).
Now let's check for reflections based on the typical vertical lines you might consider:
For other vertical line values that may help - Let's check the following reflections:
- For the line x = 1: \[ x' = 2(1) - (-11) = 2 + 11 = 13 \Rightarrow (13, 1), not, an, option. \]
- For line x = 0: \[ x' = 2(0) - (-11) = 11 \Rightarrow (11, 1), is, one, of, the, options. \]
- For lines like x = -2 or x = -3, we already checked above.
Thus, it seems our vertical reflection could potentially result in various points based on vertical line choices, but the viable reflected coordinate that matches your options is indeed:
(11, 1) as R’ when reflected over vertical lines relatively close to (-11).