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Perpendicular lines are the two lines that intersect each other at right angle or 90 degrees. Visit BYJU'S to learn the symbol, properties, difference between parallel and perpendicular lines in detail.
We say that a line is perpendicular to another line if the two lines meet at an angle of 90 °. Let us understand the concept of perpendicular lines, the perpendicular sign, the difference between parallel and perpendicular lines, along with some perpendicular lines examples.
Two lines are perpendicular when they meet at a right angle (90°). To find a perpendicular slope: When one line has a slope of m, a perpendicular line has a slope of −1 m. In other words the negative reciprocal.
- Slope
- −0.5
In geometry, perpendicular lines are defined as two lines that meet or intersect each other at right angles (90 ∘). The term ‘perpendicular’ originated from the Latin word ‘perpendicularis,’ meaning a plumb line. If two lines AB and CD are perpendicular, then we can write them as AB ⊥ CD.
Explicitly, a first line is perpendicular to a second line if (1) the two lines meet; and (2) at the point of intersection the straight angle on one side of the first line is cut by the second line into two congruent angles.
Two lines are perpendicular or orthogonal if they meet at right angles. For two perpendicular lines, all four angles formed by the two lines are equal to 90 ^ \circ 90∘. Two non-vertical lines are perpendicular if and only if the product of their slopes is -1.
In perpendicular lines when two intersecting lines a and b are said to be perpendicular to each other if one of the angles formed by them is a right angle. In other words, Set Square. If two lines meet or intersect at a point to form a right angle, they are called perpendicular lines.