Mutual Cut Line This extension cuts exactly 2 (ideally straight) path segments and will create intersected elements. Depending on the path direction (which can be reversed) the ends are going to be cut against each other Draw some paths Duplicate the paths (CTRL + D) and give some different color This step is optional but helps to understand what's going on here Check the result We repeat the previous step and this step for all variants to show the possible outputs. You can reverse the path using "Path → Reverse" Two regular paths First and second path reversed First path reversed Second path reversed Output with original as  overlap Result only