
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
An equilateral triangle is drawn. From each vertex of the triangle, a line is drawn which serves as the altitude, median, and angle bisector due to the properties of an equilateral triangle. Determine the total number of distinct lines formed in the triangle considering the lines from each vertex.
A) 3
B) 6
C) 9
D) 12

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