
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
Triangle $OPQ$ has $O=(0,0)$, $P=(7,0)$, and $Q$ in the first quadrant, with $\angle PQO=90^\circ$ and $\angle POQ=45^\circ$. When $OQ$ is rotated $90^\circ$ counter-clockwise around $O$, where is the new position of $Q$?
A) $\left(-7\sqrt{2}, 7\sqrt{2}\right)$
B) $\left(-\frac{14\sqrt{2}}{2}, \frac{14\sqrt{2}}{2}\right)$
C) $\left(-\frac{7\sqrt{2}}{2}, \frac{7\sqrt{2}}{2}\right)$
D) $\left(-7, 7\right)$
E) $\left(-\frac{7}{2}, \frac{7}{2}\right)$

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