Question

A circle with a radius of 1 unit and center C at (-2, 1) is reflected across the x-axis. What are the coordinates of C?

A. (0, 1)
B. (-2, -1)
C. (-2, 1)
D. (-2, -2)

Answer 1

The coordinates of the center C after being reflected across the x-axis will be (-2, -1).

Step-by-step explanation:

When reflecting a point across the x-axis, the x-coordinate remains the same while the y-coordinate changes its sign. Starting with the original coordinates of the center C at (-2, 1), we keep the x-coordinate as -2. Therefore, because reflecting across the x-axis inverses the sign of the y-coordinate, the original y-coordinate of 1 becomes -1. Hence, the new coordinates of C after the reflection will be (-2, -1).