Final answer:
The x-coordinate of the midpoint of segment GH is -10, as both endpoints G and H have the same x-coordinate (-10).
Step-by-step explanation:
The question asks for the x-coordinate of the midpoint of segment GH with endpoints G(-10,2) and H(-10,-1). The x-coordinate of the midpoint can be found by averaging the x-coordinates of the two endpoints. Since both endpoints have the same x-coordinate, the midpoint will also have this x-coordinate. Therefore, the x-coordinate of the midpoint is simply -10.
The x-coordinate of the midpoint (M) of a line segment with endpoints G(-10,2) and H(-10,-1) can be found by averaging the x-coordinates of G and H. The formula for the midpoint (M) is ([(x₁ + x₂)/2, (y₁ + y₂)/2]). In this case, averaging the x-coordinates gives (-10 - 10)/2 = -20/2 = -10/1 = -10. Therefore, the x-coordinate of the midpoint is -10. The correct option is (a) -10, as it represents the average x-coordinate of the endpoints and is consistent with the midpoint formula.