two (2)
It depends on how you define "ways" and how you define "lines" and how you define "intersect" and what kind of geometry you're talking about, but in Euclidean geometry, lines either never intersect, or they intersect at a single point, or they can intersect at all points within the lines.
Parallel lines within a circle are infinite.
There are infinite lines of symmetry within a circle
5
orgin? or intersection?
Two lines can intersect at none, one or infinitely many points.
there should be 5 lines and 4 spaces
That depends on the scale of the map you use. On a small scale map (Remember, small scale = big area) longitude lines may be 10 or 15 degrees apart, while on a large scale map, they are probably one degree apart or even 15 minutes (one quarter degree) apart. We can measure them as finely as you want to.
Two intersecting straight lines uniquely define one single plane.
0 perpendicular lines. There are no 90 degree angles within a hexagon. Perpendicular lines meet at a right angle and sometimes they intersect.
Mass extinction
4 spaces