Could someone explain to me what this simple problem is asking me to do?
Draw three straight lines intersecting by twos?
Does this mean that each line in the set of three has to be intersected by the other two in the set thus forming a triangle?
It is more common in mathematics to say that lines intersect "pairwise" or "in pairs", which means that any pair of lines from the arrangement has a point of intersection. For three distinct lines this condition is satisfied if the lines are extensions of the sides of a triangle, or if all the lines intersect at one point. It could be the purpose of the exercise to notice that there is more than one type of configuration that meets the requirement.