
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
Points \(D(-3, 2)\), \(E(0, 5)\), and \(F(0, 2)\) are the vertices of \(\triangle DEF\). What will be the coordinates of the image of point \(D\) if \(\triangle DEF\) is rotated \(90^\circ\) clockwise about the origin?

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