
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 triangle with vertices \((1, 2)\), \((4, 3)\), and \((5, 5)\) is reflected about the line \(y = x\) to create a second triangle. What is the area of the union of the two triangles?
A) \(\frac{5}{2}\)  
B) \(3\)  
C) \(4\)  
D) \(5\)  
E) \(\frac{12}{3}\)

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