The vertices of a rectangle have coordinates $(1,3),(1,1)$, $(4,1)$, and $(4,3)$, as shown. If the rectangle is reflected in the $y$-axis, which of the following points is not a vertex of the reflected rectangle?
(A) $(-1,1)$
(B) $(-4,1)$
(C) $(-3,4)$
(D) $(-1,3)$
(E) $(-4,3)$

![](https://cdn.mathpix.com/cropped/2024_04_20_6027bc27089ed4fc493cg-003.jpg?height=328&width=372&top_left_y=210&top_left_x=1321)

Part B: Each correct answer is worth 6.
When $(1,3)$ is reflected in the $y$-axis, the reflected point is $(-1,3)$.

In general, when a point is reflected in the $y$-axis, its $x$-coordinate changes sign, and its $y$-coordinate does not change.

Thus, the vertices of the reflected rectangle are $(-1,3),(-1,1),(-4,1)$, and $(-4,3)$.

Of the given possibilities, $(-3,4)$ is not a vertex of the reflected rectangle.

ANSWER: $(\mathrm{C})$