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How do you know if two line segments are perpendicular?A.The slope of one is the negative of the slope of the other.B.Their slopes are reciprocals.C.Their slopes are equal.D.Their slopes are negative reciprocals.

Question

How do you know if two line segments are perpendicular?A.The slope of one is the negative of the slope of the other.B.Their slopes are reciprocals.C.Their slopes are equal.D.Their slopes are negative reciprocals.

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Solution

Two line segments are perpendicular if their slopes are negative reciprocals. This means that if the slope of one line is m, the slope of the line perpendicular to it would be -1/m. So, the correct answer is D. Their slopes are negative reciprocals.

Similar Questions

How do you know if two line segments are parallel?A.Their slopes are reciprocals.B.Their slopes are negative reciprocals.C.Their slopes are equal.D.The slope of one line is the negative of the slope of the other.

If two lines are perpendicular, their slopes are negative reciprocals.A.TrueB.False

Identify the true statement.Parallel lines have reciprocal slopes of opposite sign.Perpendicular lines have the same slope.Nonparallel lines have the same slope.Perpendicular lines have reciprocal slopes of opposite sign.

Two lines with opposite reciprocal slopes form perpendicular lines.

Line m passes through the points (3, 7) and (6, 12) while line n passes through the points (-5, 1) and (-2, 6).Which statement accurately describes the relationship between the two lines?A.Lines m and n have the same slope so they are parallel.B.Lines m and n have opposite reciprocal slopes so they are perpendicular.C.Lines m and n have the same slope so they are perpendicular.D.Lines m and n have opposite reciprocal slopes so they are parallel.

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