called perpendicular to the relationship between the various objects in Euclidean space - straight lines, planes, vectors, subspaces and so on.In this article we take a closer look perpendicular lines and characteristic features related to them.Two lines can be called perpendicular (or interperpendicular) if all four corners, which are formed by their intersection, up strictly by ninety degrees.
There are certain properties of perpendicular lines implemented on the plane:
- smaller of the angles that are formed by the intersection of two lines on the same plane, called the angle between two lines.At this point it is not a matter of squareness.
- A point which does not belong to a particular line, may hold only one line, which is perpendicular to a given line.
- equation of a line perpendicular to the plane implies that the line will be perpendicular to all lines that lie on this plane.
- rays or segments lying on the perpendicular lines will also be called perpendicular.
- perpendicular to any particular one will be called straight line segment which is perpendicular to it, and has as one of its ends, the point where intersects the line and cut.
- From any point that is not on a given line, possible to omit only one straight line, perpendicular to it.
- length perpendicular to the line dropped from the point on another line will be referred to the distance from the straight to the point.
- Conditions perpendicular lines is that those can be called directly, which intersect strictly at right angles.
- distance from a specific point of one of the lines parallel to the second straight line will be referred to the distance between two parallel lines.
Constructing perpendicular lines
perpendicular lines constructed on a plane with the help of the polygon.Each drawer has to be borne in mind that an important feature of each polygon is that it always has a right angle.To create two perpendicular lines, we need to combine one of the two sides of the right angle of our polygon drawing with the given line and spend a second straight along the second side of the right angle.Thus it will create two perpendicular lines.
three-dimensional space
interesting fact is that the perpendicular lines can be implemented in three dimensions.In this case, these two lines are called if they are parallel, respectively, any other two lines lying in the same plane and also perpendicular to it.In addition, if the plane perpendicular may be only two lines in three-dimensional space - three.Moreover, the number of multidimensional spaces perpendicular lines (or planes) can be further increased.
