
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
Given the line system $M$: $x\cos θ+y\sin θ=1$, determine the truth value of the following propositions:

1. The points not in the line system $M$ are all located within a region with an area of $π$.
2. All lines in the line system $M$ form a set of parallel lines.
3. All lines in the line system $M$ pass through a fixed point.
4. For any integer $n (n \geqslant 3)$, there exists a regular $n$-gon such that all its edges lie on the lines of the line system $M$.

Indicate the proposition numbers that are true.

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