<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 A certain rotation around point Z transforms the shaded quadrilateral to the unshaded quadrilateral. The angle of rotation is approximately 270 degrees. What is the direction of the rotation? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
270
A certain rotation around point Z transforms the shaded quadrilateral to the unshaded quadrilateral. The angle of rotation is approximately 270 degrees. What is the direction of the rotation?
test