
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
Among the following statements, which ones are correct:<br/>① Corresponding angles are equal; ② Complementary angles of equal angles are equal; ③ Interior angles on the same side of two parallel lines are equal; ④ There is only one line perpendicular to a given line passing through a point; ⑤ The perpendicular segment from a point outside a line to the line is called the distance from the point to the line; ⑥ The bisectors of vertical angles lie on the same line. Choose the correct ones by filling in the blanks with the corresponding numbers.

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