write the coordinates of the vertices after a rotation $90^\\circ$ clockwise around the origin.\n$u(\\square…

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

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

Answer

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:

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