
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 the square grid below, determine how many of the four triangles are isosceles:
[asy]
for(int a=0; a<8; ++a) {
  draw((a,0)--(a,5));
}
for(int b=0; b<6; ++b) {
  draw((0,b)--(7,b));
}
draw((1,4)--(3,4)--(2,2)--cycle,linewidth(3)); 
draw((4,3)--(4,5)--(6,3)--cycle,linewidth(3));
draw((0,1)--(2,2)--(4,1)--cycle,linewidth(3));
draw((5,1)--(6,3)--(7,0)--cycle,linewidth(3)); 
[/asy]
A) 1  
B) 2  
C) 3  
D) 4  
E) 0

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