
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 $\triangle ABC$, point $F$ divides side $AC$ in the ratio $1:3$. Let $H$ be the midpoint of side $AB$. If line $HF$ intersects side $BC$ at point $J$, what is the ratio in which point $J$ divides side $BC$?
A) 1:4  
B) 1:3  
C) 2:5  
D) 4:11  
E) 3:8

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