Which point is on the line that passes through point H and is perpendicular to line FG?
$(-6,10)$
$(-2,-12)$
$(0,-2)$
$(4,2)$
Answer (1)
Without the coordinates of points F, G, and H, determining the line that passes through H and is perpendicular to FG is impossible. Therefore, it's not possible to identify which of the given points lies on that 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. Without these coordinates, we cannot determine the equation of the line and therefore cannot check which of the given points lies on it.
Solution Impossibility Since we don't have the coordinates of points F, G, and H, we cannot find the equation of the line passing through H and perpendicular to FG. Therefore, we cannot determine which of the given points lies on this line.
Conclusion Due to the missing information (coordinates of points F, G, and H), it is impossible to solve the problem. We cannot determine which of the given points lies on the specified line.
Examples
In navigation, determining a course perpendicular to a known path is crucial for avoiding obstacles or setting up an intercept. Without knowing the initial path and a reference point, calculating a perpendicular course becomes impossible, similar to our problem where missing coordinates prevent finding the line.
