
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
The points that divide each side of a triangle into three equal segments (1/3 and 2/3 along the length) are joined to form a smaller triangle inside the original triangle. If the area of the original triangle is $T$, what is the area of the newly formed triangle, and what is the ratio of the area of the new triangle to $T$? Express your answer as a common fraction.

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