
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 vertices $A$ and $B$ of triangle $\triangle ABC$ are $A(0,2)$ and $B(2,-1)$, respectively. After translating $\triangle ABC$, we obtain $\triangle A'B'C'$, where the coordinates of point $A$ correspond to $\left(-1,0\right)$. The coordinates of the corresponding point of point $B$ are ______.

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