
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
Given $AB\parallel CD\parallel EF$, what is the length of $EF$ in centimeters?

[asy]

size(4cm,4cm);
pair A,B,C,D,E,F,X;

A=(0,1);
B=(1,1);
C=(1,0);
X=(0,0);
D=(1/4)*C+(3/4)*X;

draw (A--B--C--D);
draw(D--B);
draw(A--C);

E=(0.4,0.6);
F=(1,0.6);

draw(E--F);

label("$A$",A,NW);
label("$B$",B,NE);
label("$C$",C,SE);
label("$D$",D,SW);
label("$E$",shift(-0.1,0)*E);
label("$F$",F,E);

label("$120$ cm",midpoint(C--D),S);
label("$200$ cm",midpoint(A--B),N);

[/asy]

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