
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
Square $ABCD$ lies in the first quadrant. Points $(4,0)$, $(6,0)$, $(9,0),$ and $(14,0)$ are such that they lie on lines $AD$, $BC$, $AB$ and $CD$, respectively. Determine the sum of the coordinates of the center of square $ABCD$.
A) 6
B) 6.8
C) 7
D) 7.2
E) 7.4

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