
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
Describe a scalene triangle ABC circumscribed by a circle. Line segments are drawn from each vertex:
- Perpendiculars to the opposite sides (altitudes).
- Bisections of the opposite sides (medians).
- Bisections of the angles at each vertex (angle bisectors).
- Tangents from each vertex to the circle.
Calculate the total number of distinct line segments drawn from vertices of the triangle including altitudes, medians, angle bisectors, and tangents.
A) 9
B) 10
C) 11
D) 12

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