
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
Given a triangle with vertices $(4, 3)$, $(6, -1)$, and $(10, 2)$, reflect this triangle about the line $y=2$. Calculate the area of the union of the original and the reflected triangles.
**A)** 16 
**B)** 18 
**C)** 20 
**D)** 22 
**E)** 24

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