
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
Here I shall collect for the sake of collecting in separate threads the geometry problems those posting in multi-problems threads inside aops. I shall create post collections from these threads also. Geometry from USA contests are collected [here](https://artofproblemsolving.com/community/c2746635_geometry_from_usa_contests).**Geometry problems from** $\bullet$  CHMMC = Caltech Harvey Mudd Mathematics Competition / Mixer Round, [here](https://artofproblemsolving.com/community/c1068820h3195908p30057017) $\bullet$  CMUWC = Carnegie Mellon University Womens' Competition, collected [here](https://artofproblemsolving.com/community/c3617935_cmwmc_geometry).  $\bullet$  CUBRMC = Cornell University Big Red Math Competition, collected [here](https://artofproblemsolving.com/community/c1068820h3195908p30129173) $\bullet$  DMM = Duke Math Meet,  collected [here](https://artofproblemsolving.com/community/c3617665_dmm_geometry).  $\bullet$  Girls in Math at Yale , collected [here](https://artofproblemsolving.com/community/c3618392_) $\bullet$  MMATHS = Math Majors of America Tournament for High Schools, collected [here](https://artofproblemsolving.com/community/c3618425_)


More USA Contests await you [here](https://artofproblemsolving.com/community/c5h2760506p24143309).

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