Question

write the coordinates of the vertices after a rotation $270^\circ$ counterclockwise around the origin.
$s(\square, \square)$
$t(\square, \square)$
$u(\square, \square)$
$v(\square, \square)$

Explanation:

Step1: Identify original coordinates

Original vertices: $S(-9, -5)$, $T(0, -5)$, $U(0, -2)$, $V(-9, -2)$

Step2: Apply 270° CCW rotation rule

The rule for a $270^\circ$ counterclockwise rotation around the origin is $(x, y) \to (y, -x)$.

• For $S(-9, -5)$: $(-5, -(-9)) = (-5, 9)$
• For $T(0, -5)$: $(-5, -(0)) = (-5, 0)$
• For $U(0, -2)$: $(-2, -(0)) = (-2, 0)$
• For $V(-9, -2)$: $(-2, -(-9)) = (-2, 9)$

Answer:

$S'(-5, 9)$
$T'(-5, 0)$
$U'(-2, 0)$
$V'(-2, 9)$