
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
In $\triangle ABC$, the coordinates of the three vertices are $A(-5, 0)$, $B(4, 0)$, and $C(2, 5)$. $\triangle ABC$ is translated 2 units in the positive direction of the x-axis and then 1 unit in the negative direction of the y-axis to obtain $\triangle EFG$. Find the coordinates of the three vertices of $\triangle EFG$.

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