The point $A(1,2)$ is reflected in the $y$-axis. The new coordinates are
(A) $(1,2)$
(B) $(-1,2)$
(C) $(-1,-2)$
(D) $(1,-2)$
(E) $(1,-1)$

![](https://cdn.mathpix.com/cropped/2024_04_20_6027bc27089ed4fc493cg-040.jpg?height=366&width=358&top_left_y=1232&top_left_x=1293)
After reflecting the point $A(1,2)$ in the $y$-axis, the $y$-coordinate of the image will be the same as the $y$-coordinate of point $A, y=2$. Point $A$ is a distance of 1 to the right of the $y$-axis.

The image will be the same distance from the $y$-axis, but to the left of the $y$-axis. Thus, the image has $x$-coordinate -1 .

The coordinates of the reflected point are $(-1,2)$.

![](https://cdn.mathpix.com/cropped/2024_04_20_748fdafcde2a47412608g-197.jpg?height=328&width=337&top_left_y=150&top_left_x=1577)

ANSwER: (B)