Write the coordinates of the vertices after a rotation 270 degrees counterclockwise around the origin J'(10,-8) K'(10,-3) L'(5,-9)

To find the coordinates of the vertices after a rotation of 270 degrees counterclockwise around the origin, we can use the rotation transformation formula. The formula for rotating a point \((x, y)\) by 270 degrees counterclockwise is given by:

\[
(x', y') = (y, -x)
\]

We will apply this transformation to each of the given points \(J'(10, -8)\), \(K'(10, -3)\), and \(L'(5, -9)\).

1. For \(J'(10, -8)\):
\[
J'' = (-8, -10)
\]

2. For \(K'(10, -3)\):
\[
K'' = (-3, -10)
\]

3. For \(L'(5, -9)\):
\[
L'' = (-9, -5)
\]

Now we can summarize the new coordinates after the rotation:

- \(J'' = (-8, -10)\)
- \(K'' = (-3, -10)\)
- \(L'' = (-9, -5)\)

Thus, the coordinates of the vertices after the rotation are:
- \(J''(-8, -10)\)
- \(K''(-3, -10)\)
- \(L''(-9, -5)\)