Question

If a point X (2, 2) is reflected above y = -x, identify the transformed point.

Answer 1

The point X (2, 2) reflected over the line y = -x will have its coordinates swapped and negated, resulting in the transformed point X' (-2, -2).

Step-by-step explanation:

To find the transformed point of X (2, 2) when reflected over the line y = -x, we need to understand that reflecting a point over the line y = -x will result in the coordinates being swapped and taken with opposite signs.

For the point X (2, 2), after reflection the x-coordinate becomes the negative of the original y-coordinate, and the y-coordinate becomes the negative of the original x-coordinate.

Therefore, the transformed point X' will be (-2, -2).