To find the coordinates of vertex C' after triangle ABC has been reflected over a vertical line, we first need to determine the position of the vertical line of reflection and the coordinates of point C.
Once we have that, we can use the property of reflection to find the coordinates of C'. The reflection over a vertical line means that the x-coordinates change, while the y-coordinates remain the same.
Let's say if the vertical line of reflection is \( x = d \) and the coordinates of vertex C are \( C(x_C, y_C) \). The reflected point C', which we will denote as \( C'(x_{C'}, y_{C'}) \), can be found using the formula:
\[ x_{C'} = 2d - x_C \] \[ y_{C'} = y_C \]
If you provide the coordinates of vertices A, B, C, and the location of the vertical line, I can help you find the coordinates of C'.