It's like geometric construction games, except you can't use a compass. You can draw lines between points, project lines through points, and "average" both lines and points. The dragging motions aren't completely intuitive...
Accommodating touchscreens is great. If anything it seemed that the manipulations for points and those for lines are reversed? I kept getting an average when I was expecting a connecting line or an intersection? This may represent something deeper in GA that I haven't internalized yet. Nevertheless, it is possible to complete the game if one keeps trying.