
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
Given two points A(-1, 0) and B(1, 2) in the Cartesian coordinate system, connect AB and translate the line segment AB to get line segment $A_1B_1$. If the corresponding point of A, $A_1$, has coordinates (2, -1), determine the coordinates of the corresponding point $B_1$ of B.

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