
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
From any point on the base of an isosceles triangle, lines parallel to the equal sides are drawn. The perimeter of the resulting parallelogram is constant.

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