A figure that has a vertex at (4,2) has the line y=x as a line of symmetry. Tell the coordinates of another vertex of the figure.
If the line y=x is a line of symmetry for the figure, that means that for every point (x, y) on the figure, the point (y, x) is also on the figure.
Given that the vertex of the figure is (4, 2), we can find another vertex by reflecting this point across the line y=x. To reflect a point across the line y=x, we swap the x-coordinate with the y-coordinate.
So, reflecting (4, 2) across the line y=x gives us the point (2, 4).
Therefore, the coordinates of another vertex of the figure are (2, 4).