
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
A hexagonal dartboard is divided into 12 equal triangular slices by lines extending from the center to each vertex and midpoints of sides. Calculate the ratio of the area of one of the six larger triangular regions (vertex to midpoint) to the area of one of the six smaller triangular regions (midpoint to midpoint).
A) $\frac{4}{3}$
B) $\frac{4\sqrt{3}}{3}$
C) $2\sqrt{3}$
D) $2$

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