
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
Consider a triangle with vertices \( A=(2, 4) \), \( B=(7, 2) \), and \( C=(6, 6) \) plotted on an \(8 \times 6\) grid. Determine what fraction of the grid is covered by the triangle.
**A)** \( \frac{1}{4} \)
**B)** \( \frac{1}{6} \)
**C)** \( \frac{3}{16} \)
**D)** \( \frac{1}{8} \)

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