
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
Consider triangle $PQR$ located in the coordinate plane such that point $P$ is at the origin $(0, 0)$. Point $Q$ lies on the x-axis at $(2, 0)$, and point $R$ is on the line $y = x$ such that the x-coordinate of $R$ is 2. Calculate the area of triangle $PQR$.
A) 1
B) 1.5
C) 2
D) 2.5
E) 3

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