Question

Given that lm is parallel to kn and lp is perpendicular to kn, what can be concluded about the relationship between lm and lp?

1) lm and lp are parallel
2) lm and lp are perpendicular
3) lm and lp are intersecting
4) The relationship between lm and lp cannot be determined

Answer 1

Given that lm is parallel to kn, and lp is perpendicular to kn, lp and lm must be perpendicular to each other.

Step-by-step explanation:

If lm is parallel to kn and lp is perpendicular to kn, then it can be concluded that lm and lp are perpendicular to each other. This is based on the geometric definition of perpendicular lines which states that if a line is perpendicular to a second line, then it must also be perpendicular to any line that is parallel to that second line. In this case, since lp is perpendicular to kn, and lm is parallel to kn, lp must be perpendicular to lm as well.