
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
On a square grid, five triangles are drawn with the following vertices:
1. $(0,3), (3,3), (1,1)$
2. $(3,1), (3,3), (6,1)$
3. $(0,0), (2,3), (4,0)$
4. $(7,2), (5,5), (8,2)$
5. $(9,0), (10,2), (11,0)$

Determine how many of these triangles are isosceles.
A) 1
B) 2
C) 3
D) 4
E) 5

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