Question

Point kk is located at (3,1) on the coordinate plane. Point kk is reflected over the yy-axis to create point k', then point k' is reflected over the xx-axis to create point k''. What ordered pair describes the location of k''?

Option 1: (3, -1)
Option 2: (-3, 1)
Option 3: (-3, -1)
Option 4: (3, 1)

Answer 1

After reflecting point kk over the y-axis and then the x-axis, the new coordinates are (-3, -1), which corresponds to Option 3.

Step-by-step explanation:

The given question involves finding the coordinates of a point after it goes through two reflections on the coordinate plane. Initially, point kk is at (3, 1). When point kk is reflected over the y-axis, its x-coordinate changes sign, resulting in point k' at (-3, 1). Subsequently, reflecting point k' over the x-axis changes the sign of the y-coordinate. Therefore, point k" after the reflections is at (-3, -1), which is Option 3.