Question

Plane p contains four distinct lines line 1 line 2 line 3 and line 4. Suppose line 1 intersects line 2, line 2 intersects line 3 and line 3 intersects line 4. How are line 1 and line 4 related

Answer 1

line 1 intersects line 4

Explanation:

If line 2 intersects 1 and 3, but 1 does not intersect 3, then lines 1 and 3 are parallel.

Similarly, if line 3 intersects lines 2 and 4, but 2 does not intersect 4, then lines 2 and 4 area parallel.

If 1 and 3 are parallel, and 2 and 4 are parallel, then the fact that 2 intersects 3 means 1 intersects 4.