The points $O(0,0), P(0,3), Q$, and $R(5,0)$ form a rectangle, as shown. The coordinates of $Q$ are
(A) $(5,5)$
(B) $(5,3)$
(C) $(3,3)$
(D) $(2.5,1.5)$
(E) $(0,5)$

![](https://cdn.mathpix.com/cropped/2024_04_20_e85ef69091c57cb633f3g-020.jpg?height=374&width=458&top_left_y=838&top_left_x=1254)
Since $O P Q R$ is a rectangle with two sides on the axes, then its sides are horizontal and vertical. Since $P Q$ is horizontal, the $y$-coordinate of $Q$ is the same as the $y$-coordinate of $P$, which is 3 . Since $Q R$ is vertical, the $x$-coordinate of $Q$ is the same as the $x$-coordinate of $R$, which is 5 . Therefore, the coordinates of $Q$ are (5,3).

ANSWER: (B)