Line Cluck Reposition

Dots appear on the screen. Lines connect some of them. Some lines cross each other. Those crossings are the problem.
Your task is to move the dots. Tap any dot and drag it to a new position. The lines attached to it follow. They stretch and pivot as the dot moves. Release the dot when you find a spot where the lines no longer cross other lines.
The level is complete when every line on the screen is free of intersections. No line passes over another line. No overlaps remain.
Early levels use simple arrangements. A handful of dots with one or two crossings. Easy to fix with a single move. Later levels introduce more dots and more lines. Crossings multiply. Each dot connects to multiple lines. Moving one dot affects several lines at once. You have to consider how each move impacts the entire structure.
There is no time limit. There is no move limit. You can drag dots as many times as you need. The game does not punish you for exploring different arrangements. If a move makes the layout worse, you can drag the dot again or move it back.
When you solve the level, the screen transitions to results. A hen appears on a path at the bottom. The path has markers for each level. The hen starts at the position of the level you just completed and walks toward the marker of the next level. She moves forward one step for every level you finish.
If you cannot solve the level, you can reset the board to its original state. The dots return to their starting positions. The lines return to their original crossings. You try again from the beginning. No penalty. No lost progress. Just a fresh start.
Move the dots. Uncross the lines. Clear every intersection. Watch the hen walk when you solve it.