Because of having basic license. I have a long solution.
Frist . create 6 fields
2 for start line X and Y coordinates
2 for mid point line X and Y coordinates
2 for end line X and Y coordinates
Second Calculate geometry , for each field.
Third use XY To Line—Help | ArcGIS Desktop twice.
-->one time, make start X and Y in the tool for start line coordinates fields, and make end X and Y in the tool for mid line coordinates fields.
--> second time, make start X and Y in the tool for mid line coordinates fields, and make end X and Y in the tool for end line coordinates fields.
Finally use Append—Help | ArcGIS Desktop tool to make the two output in one layer, or copy and paste in edit session.
Note.
except from this curve line and circle lines. because mid point will not be intersect the line
use split button in Edit toolbar.
