Question

Determine the statement that is logically equivalent to this conditional statement. If two lines are perpendicular, then the product of the reciprocals of the slopes of the two lines is −1.

Answer 1

If the product of the reciprocals of the slopes of two lines is not −1, then the lines are not perpendicular.

Explanation:

Given statement: If two lines are perpendicular, then the product of the reciprocals of the slopes of the two lines is −1.

To find: the statement that is logically equivalent to this conditional statement.

Solution:

Statement equivalent to '' If two lines are perpendicular, then the product of the reciprocals of the slopes of the two lines is −1 '' is if the product of the reciprocals of the slopes of two lines is not −1, then the lines are not perpendicular.