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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.

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Answer:

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.

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