
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
The coordinates of the triangle $\triangle ABC$ are $A(2,1)$, $B(4,3)$, and $C(0,2)$. The triangle $\triangle ABC$ is moved to a new position $\triangle A'B'C'$, where $A'(-1,5)$. Determine the coordinates of point $C'$.

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