Four lines j,k,l, and m lie in a plane such that j || k and l || m. Which of the following can be concluded?

I: j || l

II: k || m

III: there is a total of four points of intersection.

(A) none

(B) I only

(C) III only

(D) I and II only

(E) I, II, III

The answer is A .why it is not C

C *can* be true, but if all four lines are parallel, and the question doesn’t say they definitely aren’t, then there are no points of intersection.