Question

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

Answer 1

the converse is when u switch the hypothesis and the conclusion.

so the converse of this statement would be :
if they have negative reciprocal slopes, then they are perpendicular lines.

Answer 2

The converse of the statement is:

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

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