
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 player selects any two vertices from a square to form a line, and another player selects any two vertices from the same square to form another line. What is the probability that the two lines are perpendicular to each other?

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