Question

1. name the missing coordinates.

image of a rectangle on a coordinate plane with points q(?, ?), r(3b, a), t(?, ?), s(?, ?), and o at the origin

give your answer as a coordinate pair in alphabetical order. example f(x,y), g(x,y), h(x,y).

Explanation:

Step1: Find S's coordinates

Point $S$ shares the same $x$-coordinate as $R(3b,a)$ and lies on the $x$-axis ($y=0$), so $S(3b, 0)$.

Step2: Find Q's coordinates

Point $Q$ shares the same $y$-coordinate as $R(3b,a)$ and is symmetric to $R$ across the $y$-axis, so $x=-3b$, $y=a$. Thus $Q(-3b, a)$.

Step3: Find T's coordinates

Point $T$ shares the same $x$-coordinate as $Q(-3b,a)$ and lies on the $x$-axis ($y=0$), so $T(-3b, 0)$.

Step4: Order alphabetically

Sort points by their labels: $Q, S, T$.

Answer:

$Q(-3b,a)$, $S(3b,0)$, $T(-3b,0)$