
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 has vertices at \( A = (2, 3), B = (5, 7), \) and \( C = (6, 2) \). This triangle is reflected across the line \( y = x \) to form a second triangle. Calculate the area of the union of these two triangles.
A) 18
B) 19
C) 20
D) 21

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