If point A is (1, 1) and is reflected over the y-axis, what are the coordinates of point A'?

To determine the coordinates of point A' after reflecting point A over the y-axis, it is important to understand how reflection works regarding this specific axis.

When a point is reflected over the y-axis, the x-coordinate of the point changes sign, while the y-coordinate remains unchanged.

In this case, the original coordinates of point A are (1, 1). Thus, when we reflect this point over the y-axis:

• The x-coordinate changes from 1 to -1.

• The y-coordinate stays the same at 1.

Consequently, the new coordinates after reflection are (-1, 1), which corresponds to point A'.

This process defines why the answer is the option with the coordinates (-1, 1). The other choices involve either incorrect transformations of the x or y values or do not reflect the original point accurately.