A figure that has a vertex at (5,2) has the line y=x as a line of symmetry. Tell the coordinates of another vertex of the figure.
Since the line y=x is a line of symmetry, any point (x, y) on one side of the line must also have its reflection (y, x) on the other side of the line.
Given that the vertex is at (5, 2), we can reflect this point across the line y=x to find another vertex. The reflection of (5, 2) is (2, 5).
Therefore, the coordinates of another vertex of the figure are (2, 5).