Question

2.5.6 stepping stones
for the conditional statement, if two lines are perpendicular, then the lines intersect., which is the converse statement?
if two lines intersect, then they are perpendicular lines.
if two lines are not perpendicular, then the lines do not intersect.
if two lines do not intersect, then they are not perpendicular lines.
two lines are perpendicular, if and only if the lines intersect.

Explanation:

The converse of a conditional statement "If p, then q" is "If q, then p". Here, p is "two lines are perpendicular" and q is "the lines intersect". So the converse is "If two lines intersect, then they are perpendicular lines".

Answer:

If two lines intersect, then they are perpendicular lines.