## perpendicular lines

### Perpendicular lines are a specific type of lines that intersect at a right angle

Perpendicular lines are a specific type of lines that intersect at a right angle. In other words, they form a 90-degree angle where they meet. These lines can be found in various contexts, such as in geometric shapes or coordinate planes.

A key characteristic of perpendicular lines is that their slopes, or gradients, are negative reciprocals of each other. The slope of a line represents how steep it is and is calculated by the change in y-coordinates over the change in x-coordinates. For example, if one line has a slope of 2/3, the line perpendicular to it will have a slope of -3/2.

When two lines are perpendicular to each other, they create four right angles at their intersection point. This property is useful in geometry when constructing, measuring, or proving geometric relationships and properties.

In a coordinate plane, perpendicular lines can be easily identified by observing their slopes. If the slope of one line is m, then the slope of a line perpendicular to it will be -1/m. For example, if a line has a slope of 2/3, a line perpendicular to it will have a slope of -3/2.

Perpendicular lines can also be found in shapes like rectangles and squares. In these shapes, adjacent sides are perpendicular to each other, which creates right angles at their intersection points.

Understanding perpendicular lines is crucial in various mathematical concepts and applications, such as calculating distances between points, finding the equation of a line, and determining the angles within geometric shapes.

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