Question

psat 8/9 #2math - part 14 of 22line a intersects lines b and c exactly once. lines b and c do not intersect. which of the following statements about lines b and c must be true?a lines b and c are perpendicularb lines b and c are parallelc lines b and c are the same lined lines b and c are not parallel

Explanation:

In a plane, if two lines do not intersect, they are parallel. Line a intersects both b and c, confirming b and c are distinct non-intersecting lines, so they must be parallel. Other options are unsupported: there's no info about perpendicularity, they can't be the same line (a intersects them once each, same line would mean a intersects at same point), and they don't intersect so they are parallel, not non-parallel.

Answer:

B. Lines b and c are parallel