Final answer:
After reflecting the square over the y-axis, the new coordinates for the vertices are A' (2, -2), B' (2, -7), C' (7, -7), and D' (7, -2).
Step-by-step explanation:
To reflect a square over the y-axis, you change the sign of the x-coordinate of each vertex while keeping the y-coordinate the same. Let's apply this to the given vertices
Vertex A has coordinates (-2, -2). After reflection, it becomes (2, -2).
Vertex B has coordinates (-2, -7). After reflection, it becomes (2, -7).
Vertex C has coordinates (-7, -7). After reflection, it becomes (7, -7).
Vertex D has coordinates (-7, -2). After reflection, it becomes (7, -2).
Therefore, the coordinates of the vertices after reflecting the square over the y-axis will be A' (2, -2), B' (2, -7), C' (7, -7), and D' (7, -2).