
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 \( (3, 4) \), \( (5, -2) \), and \( (7, 3) \) is reflected about the line \( y = x \) to create a second triangle. What is the area of the union of the two triangles?
A) 18.5
B) 19.5
C) 20.5
D) 21.5

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