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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.

Question

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.

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Solution

The answer is C. Two line segments are parallel if their slopes are equal. This is because parallel lines always have the same steepness, or slope, and will never intersect.

Similar Questions

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.

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.

How can you determine whether the lines are parallel, without extending these lines? Explain your reasoning.

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.

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

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