Question

Point G is located at (1, -2) on the coordinate plane. Point G is reflected over the y- axis to create point G'. Point G' is then reflected over the x-axis to create point G".

What ordered pair describes the location of G"?

Answer 1

When a point on the coordinate plane is reflected over the y-axis, its x-coordinate changes sign but its y-coordinate remains the same. When that point is then reflected over the x-axis, its y-coordinate changes sign but its x-coordinate remains the same.

Step-by-step explanation:

When a point on the coordinate plane is reflected over the y-axis, its x-coordinate changes sign but its y-coordinate remains the same. So, point G = (1, -2) reflected over the y-axis becomes G' = (-1, -2).

When point G' is reflected over the x-axis, its y-coordinate changes sign but its x-coordinate remains the same. So, point G' = (-1, -2) reflected over the x-axis becomes G'' = (-1, 2).

Therefore, the ordered pair that describes the location of G'' is (-1, 2).