
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
Describe a construction of quadrilateral  $ABCD$  given:

(i) the lengths of all four sides;

(ii) that  $AB$  and  $CD$  are parallel;

(iii) that  $BC$  and  $DA$  do not intersect.

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