
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
The diagram shows the two squares \( BCDE \) and \( FGHI \) inside the triangle \( ABJ \), where \( E \) is the midpoint of \( AB \) and \( C \) is the midpoint of \( FG \). What is the ratio of the area of the square \( BCDE \) to the area of the triangle \( ABJ \)?

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