Logic Puzzle #36 - Cornered

 Cornered

This is a new puzzle of mine. This was also my first attempt at a Curve Data! (also, WPC2023 has just started and I will be volunteering there!)

Rules and link

Draw lines between the centers of cells so that each connected figure goes through exactly one clue, and all cells are used by a figure. Clues show how their figures turn and connect with themselves, not allowing rotation or reflection, but do not indicate the lengths of the line segments.

You can solve this puzzle here using puzz.link's interface