Question

If line r and s are parallel, and if t is perpendicular to r, will t be perpendicular to s all the time or sometimes?

a) All the time
b) Sometimes
c) It depends on the angle of intersection.
d) It depends on the length of lines r and s.

Answer 1

When two lines are parallel and a third line is perpendicular to one of those lines, it will also be perpendicular to the other line at all times.

Step-by-step explanation:

If line r and line s are parallel, and if line t is perpendicular to r, then t will also be perpendicular to s all the time. This is because both r and s are parallel to each other, meaning they run in the same direction and never intersect; hence, if t is perpendicular to one, it must form a 90° angle with the other as well.