The graph above shows line H. Line J (not shown) does not pass through the first quadrant. Which of the following could

BTGmoderatorDC wrote: ↑

Mon Oct 26, 2020 4:47 pm

line H graph.JPG

The graph above shows line H. Line J (not shown) does not pass through the first quadrant. Which of the following could be true?

I. line J is perpendicular to line H
II. line J is parallel to line H
III. line J intersect line H in the third quadrant

(A) I only
(B) II only
(C) I and II only
(D) I and III only
(E) I, II, and III


OA D

Solution:

We see that line H passes through quadrants I, II, and III. If line J is parallel to line H, then it must also pass through quadrant I. However, since we are told that line J does not pass through quadrant I, we see that line J can’t be parallel to line H. Statement II is false. If line J is perpendicular to line H, it could pass through quadrants II, III, and IV only. Since it does not need to pass through quadrant I, Statement I could be true. If line J intersects line H in the third quadrant, it could pass through quadrants II, III, and IV only. So, statement III could be true also.

Answer: D