Question

geometry sem a geometry
ons of euclidean geometry
what is the converse of the statement?
perpendicular lines have negative reciprocal slopes.
if lines are perpendicular, then they have negative reciprocal slopes.
if lines do not have negative reciprocal slopes, then they are not perpendicular.
if lines have negative reciprocal slopes, then they are perpendicular.
if lines are not perpendicular, then they do not have negative reciprocal slopes.

Explanation:

The converse of a conditional statement "If p, then q" is "If q, then p". In the statement "Perpendicular lines have negative reciprocal slopes", p is "lines are perpendicular" and q is "lines have negative reciprocal slopes". So the converse is "If lines have negative reciprocal slopes, then they are perpendicular".

Answer:

If lines have negative reciprocal slopes, then they are perpendicular.