If two lines are perpendicular to the same line, prove that they are parallel to each other

Question

Zane

Mathematics

11 January, 09:02

If two lines are perpendicular to the same line, prove that they are parallel to each other

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Answers (1)

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Makhi King · Answer 1

In order to prove that two lines are parallel to each other, you need to show that they have the same slope.

Line 1 is perpendicular to a line that has slope m, thus it has a slope of - 1/m.

Line 2 is perpendicular to the same line with slope m, thus it has a slope of - 1/m.

Line 1 and Line 2 have the same slope so they are parallel.