Break Lines
This command/action is available on the Modify Objects dialog and on the context menu of any open polygon. Any line-shaped object (polygon) splits another polygon into two objects with identical properties.
Break Lines per Context Menu
Breaking line-like objects requires a line or polygon intersecting another polygon. That object will be broken at the intersecting point. Any line-like object from the toolbox can be used (e.g. the auxiliary polygon to break a railway line).

Change to edit mode and click the auxiliary polygon using the right mouse button. Select the command Break Lines from the context menu. Now, two railway objects have been generated, one of which is moved aside here:

When the Break Lines function is called via the context menu, only active objects are broken (inactive ones are ignored).
Break Lines via Modify Objects
The action „Break Lines“ is also available when having selected the command Modify Objects from the context menu of the breaking object. In the selection for „Object Type“, define which objects are to be broken by the selected one. Additionally, the activation and/or condition settings available in the Modify Objects dialog can be used to further filter the objects to be broken.
Example
This auxiliary polygon will just break the - active - roads, but not the line sources:

After selection of the Modify Objects command from the context menu of the auxiliary polygon, select the action „Break Lines“ from the „Action“ list box and the object type „Road“. At Activation, select "only active". After execution, just the two active roads at are broken by the auxiliary polygon at the intersecting point.

Further Remarks
- This command will break lines even when the breaking line crosses at a polygon point.
- Line objects do not break area objects. For this, see Break Areas.