Question

Lines a and b are parallel. Line c is perpendicular to line a. Must it also be perpendicular to line b? Explain your thinking.

Answer 1

Line c is also perpendicular to line a.

Suppose that c and b are perpendicular. This implies that:

option 1) b and a are the same line or,

option 2) b is parallel to a

Since we know that a and b are different lines, hence, the option 2 is the correct.