Question

State true or false.

a. Parallel Lines do not intersect each other.
b. A transversal intersects two parallel lines at three distinct point.
c. Perpendicular distance between parallel lines is always same.​

Answer 1

A - True
B - False
C - True

Explanation:

A:
Parallel lines never intersect each other because in order for them to be classified as parallel, they must have the same slope, which will never cross over each other at any point; True
B:
A transversal does intersect two or more parallel lines, but crossing two parallel lines at three distinct points is not possible; False
C:
Perpendicular distance between parallel lines is always the same because they have the same slope and therefore are always the same distance away from each other; True