What is the converse of the statement? perpendicular lines have negative reciprocal slopes.

The converse of the statement is:

If the Lines have negative slope than the lines  are perpendicular.

Step-by-step explanation:

" In logic, the converse of a categorical or implicational statement is the result of reversing its two parts. For the implication P → Q, the converse is Q → P "

We are given implicational statement as:

Perpendicular lines have negative reciprocal slopes.

i.e. we can write this statement as:

If lines are Perpendicular than lines have negative slope.

Here we have:

P= Line are perpendicular

Q= lines have negative slope

Now the converse of the statement is:

If the Lines have negative slope than the lines  are perpendicular