
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 points $B(2, 3)$, $I(3, 6)$, and $G(6, 3)$ are plotted in the standard rectangular coordinate system to form triangle $BIG$. Triangle $BIG$ is translated seven units to the left and three units downward to triangle $B'I'G'$, such that $B'$ is the image of $B$, $I'$ is the image of $I$, and $G'$ is the image of $G$. What is the midpoint of segment $B'G'$? Express your answer as an ordered pair.

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