
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 $B(2, 3)$, $I(4, 5)$, and $G(7, 3)$ form the vertices of triangle $BIG$. This triangle undergoes a transformation that includes translating seven units to the left and four units upward, followed by a rotation of $90^\circ$ counterclockwise about the origin to form triangle $B'I'G'$. What is the midpoint of segment $B'G'$ after these transformations? Express your answer as an ordered pair.

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