
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
The point \( P(-1,4) \) is reflected in the \( y \)-axis to become \( Q \). The point \( Q \) is reflected in the line \( y=x \) to become \( R \). The point \( R \) is reflected in the \( x \)-axis to become \( S \). What is the area of quadrilateral \( PQRS \)?

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