Question

The coordinates of a point on a coordinate grid are (-2, 6). The point is reflected across the x-axis to obtain a new point. What are the coordinates of the reflected point?

a. (2, 6)
b. (2, -6)
c. (-2, 6)
d. (-2, -6)

Answer 1

The coordinates of the point after being reflected across the x-axis are (-2, -6), so the correct answer is d. (-2, -6).

Step-by-step explanation:

The original coordinates of the point are (-2, 6). When a point is reflected across the x-axis, its x-coordinate remains the same, but the y-coordinate is negated. Therefore, the reflected point across the x-axis would have coordinates (-2, -6). The x-coordinate remains -2 because the point does not move horizontally, while the y-coordinate changes from positive to negative, which reflects a move across the x-axis in a vertical direction but staying at the same horizontal position.