5
practice testMultiple Choice

Practice Test

Question 5 • MASTER COURSE Geometry

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

Answer
A
If lines do not have negative reciprocal slopes, then they are not perpendicular.
B
If lines have negative reciprocal slopes, then they are perpendicular.
C
If lines are perpendicular, then they have negative reciprocal slopes.
D
If lines are not perpendicular, then they do not have negative reciprocal slopes.

Explanation

The original statement has the form “If lines are perpendicular, then they have negative reciprocal slopes.” Its converse switches the hypothesis and conclusion: “If lines have negative reciprocal slopes, then they are perpendicular.” This matches choice D.

AI-written and checked against the verified answer.

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