
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
In a square, points A and B are midpoints of two adjacent sides. A line segment is drawn from point A to the opposite vertex of the side that does not contain B, forming a triangle. What fraction of the interior of the square is shaded, if the triangle is left unshaded?

[asy]
filldraw((0,0)--(2,0)--(2,2)--(0,2)--cycle,gray,linewidth(1));
filldraw((1,0)--(2,2)--(2,0)--(1,0)--cycle,white,linewidth(1));
label("A",(1,0),S);
label("B",(2,1),E);
[/asy]

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