
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 $D(-6, 2), E(-3, 5)$ and $F(-3, 2)$ are the vertices of $\triangle DEF$. What will be the coordinates of the image of point D if $\triangle DEF$ is rotated 180 degrees about the origin?

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