Hi, Psygorn... sorry for late reply.

1. Yes... it would be an irregular pentagon with: 1 edge length = X√2 while the other 4 edges length = X
2. The necessary elements is all mentioned already.
3. Actually, there is no specific initial position for the lines except it would form an irregular pentagon like mentioned in point 1, AND if we draw a 3 point circle through 3 vertices of the pentagon then ALL vertices should by on the circle circumference.

Cheers!