Question

Andrea has to find a third point, C , to form a triangle on the coordinate plane shown. She is told the coordinates of its reflection point, C′ , across the x -axis are (2,−2) . What are the coordinates of point C ? (1 point)

Answer 1

To find the coordinates of point C, given that its reflection point C′ across the x-axis is (2, -2), we need to understand how reflection across the x-axis works.

When a point (x, y) is reflected across the x-axis, the x-coordinate remains the same while the y-coordinate changes sign. Therefore, if C′ has coordinates (2, -2), the y-coordinate of point C must be the opposite of -2, which is 2. The x-coordinate remains the same at 2.

Thus, the coordinates of the point C are (2, 2).

So, the final answer is:
C = (2, 2)