
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 a square piece of paper, 8 inches on a side, folded diagonally, cut in half along the fold line, and then cut horizontally into two smaller triangles of equal size, find the ratio of the perimeter of one of the smaller triangles to the perimeter of one of the larger triangles.

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