Breaklines control how points are connected.
Given a bunch of points for a topo survey, it is possible to connect them in many different ways. The breaklines "guide" the surface creation, so points are not connected in inappropriate ways. Typically, breaklines run along distinct breaks in the grade (thus the name "breaklines"), such as flowlines and tops of curbs, tops and toes of slopes, etc.
The breaklines should be added to your surface as "Breaklines", in addition to adding the Autocad points as "Drawing Objects".
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