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What is the converse of the statement?

Perpendicular lines have negative reciprocal slopes.

If lines have negative reciprocal slopes, then they are perpendicular.
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 are not perpendicular, then they do not have negative reciprocal slopes.

Respuesta :

Not 100% sure:
If lines have negative reciprocal slopes, then they are perpendicular.
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Answer:

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

Step-by-step explanation:

The given statement is:

Perpendicular lines have negative reciprocal slopes.

To get the converse of the conditional statement, interchange the hypothesis and the conclusion.

Then the converse of the above given statement will be given as:

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

Hence, option A is correct.

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