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 (2)
The problem cannot be solved because the coordinates of points F, G, and H are not provided. Without these coordinates, it is impossible to determine the equation of the line passing through H and perpendicular to FG, and therefore impossible to check which of the given points lies on this line.
Explanation
Problem Analysis The problem asks us to find a point that lies on a line perpendicular to line FG and passing through point H. However, the coordinates of points F, G, and H are not provided. Without these coordinates, we cannot determine the slope of line FG, nor can we determine the equation of the line perpendicular to FG that passes through H. Therefore, we cannot determine which of the given points lies on the described line.
Unsolvable Problem Since we cannot determine the equation of the line, we cannot check which of the given points satisfies the equation. Therefore, the problem is unsolvable with the given information.
Conclusion Due to the missing information (coordinates of points F, G, and H), it is impossible to determine which of the given points lies on the line that passes through H and is perpendicular to FG.
Examples
In navigation, if you know the coordinates of two landmarks (F and G) and you need to travel along a path perpendicular to the line connecting them, passing through a specific location (H), you would need to calculate the equation of the perpendicular line. Without knowing the initial landmark locations, you cannot determine this path.
We cannot determine which point lies on the line through point H and perpendicular to line FG because the coordinates of points F, G, and H are not provided. Therefore, we cannot proceed with the calculations needed to find the required point. The problem is unsolvable with the available information.
;
