Question

If a pair of lines have the same slope, they are parallel.

If a pair of lines are parallel, they will never intersect.

Therefore, if a pair of lines have the same slope, they will never intersect.
This is an example of ______________-

A) the Law of Syllogism
B) the Law of Detachment
C) Inductive Reasoning
D) Conjecture

Answer 1

It is reasoning. Reasoning is using one fact to prove another, which is exactly what they do in this example.