![]() A great example of perpendicularity can be seen in any compass, note the cardinal points North, East, South, West (NESW) For this reason, we may speak of two lines as being perpendicular (to each other) without specifying an order. Perpendicularity can be shown to be symmetric, meaning if a first line is perpendicular to a second line, then the second line is also perpendicular to the first. 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. Thus, in advanced mathematics, the word "perpendicular" is sometimes used to describe much more complicated geometric orthogonality conditions, such as that between a surface and its normal vector.Ī line is said to be perpendicular to another line if the two lines intersect at a right angle. Perpendicularity is one particular instance of the more general mathematical concept of orthogonality perpendicularity is the orthogonality of classical geometric objects. Perpendicular intersections can happen between two lines (or two line segments), between a line and a plane, and between two planes. The condition of perpendicularity may be represented graphically using the perpendicular symbol, ⟂. ![]() In elementary geometry, two geometric objects are perpendicular if their intersection forms right angles ( angles that are 90 degrees or π/2 radians wide) at the point of intersection called a foot.
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