Question

Point G is located at (1, 1) 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

The location of point G" after being reflected over the y-axis and then the x-axis is (-1, -1), following the rules for reflection in the Cartesian coordinate system.

Step-by-step explanation:

The question involves understanding reflections of a point in the Cartesian coordinate system. Initially, we have point G at (1, 1). Reflecting G over the y-axis, we change the sign of the x-coordinate, giving us G' at (-1, 1). Next, reflecting G' over the x-axis, we change the sign of the y-coordinate, resulting in G" at (-1, -1).

Reflection over the y-axis follows the rule (x, y) → (-x, y), and reflection over the x-axis follows (x, y) → (x, -y). By applying these rules successively to point G, we find the coordinates of point G" as (-1, -1) after the two reflections.