
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given an isosceles right triangle $OPQ$ where vertex $O$ is at the origin $(0,0)$, vertex $P$ is at $(4,0)$, and $\angle OPQ = 90^\circ$, find the coordinates of the image of $Q$ when $OQ$ is rotated 45 degrees counterclockwise about $O$.

Present the answer in LaTex format: \boxed{Your answer}
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