
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
Distinct points $A$, $B$, $C$, and $D$ lie on a line with $AB=1$, $BC=2$, and $CD=3$. Points $E$, $F$, and $G$ are on a second line, parallel to the first, with $EF=2$ and $FG=3$. A triangle with positive area has three of the six points as its vertices. How many different positive areas can such a triangle have?
A) 3  
B) 4  
C) 5  
D) 6  
E) 7

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