Question

Point T is located at (-2, -3) on the coordinate plane. Point T is reflected over the line y = x to create point T'.

What ordered pair describes the location of T'?
a) (-3, -2)
b) (-2, -3)
c) (3, 2)
d) (2, 3)

Answer 1

Point T at (-2, -3) when reflected over the line y = x becomes point T' at (-3, -2).

Step-by-step explanation:

The reflection of a point over the line y = x will result in a point where the x-coordinate and y-coordinate are swapped. Therefore, to reflect point T located at (-2, -3) over the line y = x, we simply switch the x and y values. The location of point T' will be (-3, -2).

To reflect a point over the line y = x, you perform the following steps:

1. Identify the original coordinates (x, y) of the point.
2. Swap the x and y coordinates to find the reflected point (y, x).

Using this method for point T at (-2, -3), we get T' at (-3, -2), which corresponds to option a.