Perpendicular Lines
Lines that intersect to form fourright angles
Perpendicular lines are two lines that intersect at a right angle (90 degrees). The point at which they intersect is called the point of intersection. Perpendicular lines are opposite to parallel lines, which never meet and are always the same distance apart.
To determine if two lines are perpendicular, we need to find the slope of each line. The slope of a line is the measure of how steeply it rises or falls. If the two lines are perpendicular, the slope of one line will be the negative reciprocal of the slope of the other line. That is, if one line has a slope of m, the other line will have a slope of -1/m.
Once we have established that two lines are perpendicular, we can use this fact to solve various problems. For example, we can determine the distance between a point and a line by dropping a perpendicular line from the point to the line and measuring the length of the line segment between the point and the point of intersection. We can also use perpendicular lines to form right angles, which are important in the construction of geometric shapes and in the calculation of angles in trigonometry.
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