
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 right triangle $ABC$, with $AB = 3$ (height), $BC = 4$ (base), and $AC = 5$ (hypotenuse), points $D$, $E$, and $F$ are midpoints of $\overline{AB}$, $\overline{BC}$, and $\overline{AC}$ respectively. Point $G$ is the midpoint of $\overline{DF}$. What is the area of triangle $DGF$?
A) 0
B) 0.5
C) 1
D) 1.5

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