
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 $B(1, 3)$, $I(2, 6)$, and $G(5, 3)$ are given in a coordinate plane to form triangle $BIG$. This triangle is then translated three units to the right and four units downward to result in triangle $B'I'G'$. Determine the coordinates of the midpoint of segment $B'G'$.

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