
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
A rectangular array of points consists of nine points as follows (coordinates in units):
- Row 1: (0,0), (1,0), (2,0)
- Row 2: (0,1), (1,1), (2,1)
- Row 3: (0.5, 2), (1.5, 2), (2.5, 2)

How many non-congruent triangles can be formed using these points?
A) 15
B) 16
C) 17
D) 18
E) 19

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