For the conditional, “If two lines are parallel, they do not intersect,” and its converse, “If two lines do not intersect, they are parallel,” which of the following is correct?

A: The converse is false; a counterexample is skew lines.
B: The converse is false; a counterexample is perpendicular lines.
C: Both statements are true, so the bi conditional, “Two lines are parallel if they do intersect." can be written.
D: Both statements are true, so the bi conditional, “Two lines are not parallel if they do not interesect,” can be written.

Question

For the conditional, “If two lines are parallel, they do not intersect,” and its converse, “If two lines do not intersect, they are parallel,” which of the following is correct?
          
 A: The converse is false; a counterexample is skew lines.
 B: The converse is false; a counterexample is perpendicular lines.
C: Both statements are true, so the bi conditional, “Two lines are parallel if they do intersect." can be written.
D: Both statements are true, so the bi conditional, “Two lines are not parallel if they do not interesect,” can be written.

anonymous · Answer

Thanks :)