Question

A(2,3) is reflected over the Y = -X where is the point reflected?

A) (-3, -2)
B) (-2, -3)
C) (3, 2)
D) (2, -3)

Answer 1

The point A(2,3) when reflected over the line y = -x results in the point (-3, -2), which corresponds to option A.

Step-by-step explanation:

To determine where the point A(2,3) is reflected over the line y = -x, you can apply the concept of reflection in coordinate geometry. When a point is reflected over the line y = -x, the x-coordinate and y-coordinate of the original point are swapped and their signs are changed. Therefore, the reflected point of A(2,3) would have its x-coordinate equal to -3 and its y-coordinate equal to -2, resulting in the new point (-3, -2). This corresponds to option A.