3 lines l, k, and j lie on the same pane. Lines l and k are parallel. Lines l and j are perpendicular. Which one of the following correctly describes the relationship between lines k and j?

Question

a. Lines k and j are skew lines

b. Lines k and j are parallel

c. lines k and j are perpendicular

d. lines k and j are non coplanar

Answer 1

lines k and j are perpendicular. If two lines are parallel, a line that is perpendicular to one of the lines will be perpendicular to the other. This is because when two lines are parallel corresponding angles are equal. Since l and j intersect at a right angle the corresponding angle where k and j intersect will be a right angle.