The pattern that connects the 3x3grid of dots with just 4 lines
may be drawn without "mouse-up".

This pattern has orientation: 4 possible sketches.
  It matters the sequence the user uses to draw the pattern of lines.
  It matters the starting and ending point.
  It matters if you like the one-shot continously drawn lines
  or multiple line segments placement individually to form the patern.
Of cource the time used to draw the pattern is essential.
These possibilities give a lot degrees of freedom for the combinatorial logic
to provide many different "codes" of correct or not correct answers.

The last time I saw a password system that made glyphs of some ancient
patterns is the Lotus Notes/Domino server system. At that system, a user
sees patterns to be created when typing the symbols of password.

Anyway this started as a tricky part on an tricky question of OP.

K.L.Angelis