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- Two perpendicular lines intersect each other at a 90 degree angle, and they have opposite reciprocal slopes (m and -1/m). Perpendicular lines meet at exactly one point, and they are never parallel.
jdmeducational.com/all-about-perpendicular-lines-10-common-questions-answered/All About Perpendicular Lines (10 Common Questions Answered)
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
The perpendicular lines are two lines that intersect each other and the angle formed between the two lines should be equal to 90 degrees (right angle). Consider the above-given figure, the line PQ and RS forms a right angle when the lines intersect at a point.
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.
Two lines in the same plane are perpendicular if and only if they form a right angle. Perpendicular lines (or segments) actually form four right angles, even if only one of the right angles is marked with a box. The statement above is actually a theorem which is discussed further down on this page.
In the 2-dimensional plane, given a fixed line and any point on the line, there is exactly one line passing through this point and perpendicular to the original line. In the following diagram, lines \(l\) and \(m\) are perpendicular lines.
When a line is perpendicular to two lines on the plane (where they intersect), it is perpendicular to the plane. It will also be perpendicular to all lines on the plane that intersect there. And there is a lot more we can say: Through a given point there passes: one and only one line perpendicular to a plane.
Perpendicular lines meet at exactly one point, and they are never parallel. A line cannot be perpendicular to itself. The dot product of two perpendicular vectors is always zero. Of course, we also see perpendicular lines in certain geometric shapes, such as right triangles.