Question

if line l is parallel to line k, then they will never intersect. choose the equivalent statement. if lines l and k intersect, then they are not parallel lines. if lines l and k never intersect, then they are not parallel. if lines l and k are not parallel, then they will not intersect.

Explanation:

The original statement is "If line L is parallel to line K, then they will never intersect", which is a conditional statement of the form "if p then q" where p is "line L is parallel to line K" and q is "they will never intersect". The contra - positive of a conditional statement "if p then q" is "if not q then not p". The contra - positive has the same truth value as the original conditional statement. For the given statement, the contra - positive is "If lines L and K intersect (not q), then they are not parallel lines (not p)".

Answer:

If lines L and K intersect, then they are not parallel lines.