Question

write the coordinates of the vertices after a rotation $90^\circ$ clockwise around the origin.
$u(\square, \\ )$
$v(\\ , \\ )$
$w(\\ , \\ )$

Explanation:

Step1: Identify original coordinates

Original vertices: $U(-9, 0)$, $V(-3, 0)$, $W(-6, -9)$

Step2: Apply 90° clockwise rotation rule

The rule for rotating a point $(x, y)$ 90° clockwise around the origin is $(x, y) \to (y, -x)$.

• For $U(-9, 0)$: $(0, -(-9)) = (0, 9)$
• For $V(-3, 0)$: $(0, -(-3)) = (0, 3)$
• For $W(-6, -9)$: $(-9, -(-6)) = (-9, 6)$

Answer:

$U(0, 9)$
$V(0, 3)$
$W(-9, 6)$