Since the coordinates of points F, G, and H are not provided, it is impossible to determine the equation of the line passing through H and perpendicular to FG. Therefore, it is impossible to determine which of the given points lies on the line.
Explanation
Problem Analysis The problem asks us to find a point that lies on a line that passes through point H and is perpendicular to line FG. However, the coordinates of points F, G, and H are not provided. Therefore, we cannot determine the equation of the line and cannot determine which of the given points lies on the line.
Examples
This problem highlights the importance of having sufficient information to solve a geometric problem. In real life, this could be analogous to needing specific measurements or data points to accurately design a structure or navigate a route. Without knowing the locations of key reference points, it's impossible to determine the path that meets the required conditions.