write the coordinates of the vertices after a rotation $270^{\\circ}$ counterclockwise around the origin.

Explanation:

Step1: Identify original coordinates

Original vertices: $C(-9,2)$, $D(-9,10)$, $E(-1,10)$, $F(-1,2)$

Step2: Apply 270° counterclockwise rule

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

• For $C(-9,2)$: $(2, -(-9)) = (2,9)$
• For $D(-9,10)$: $(10, -(-9)) = (10,9)$
• For $E(-1,10)$: $(10, -(-1)) = (10,1)$
• For $F(-1,2)$: $(2, -(-1)) = (2,1)$

Answer:

$C'(2,9)$, $D'(10,9)$, $E'(10,1)$, $F'(2,1)$