TYPES OF LINES IN MATH
What is line ?
- Line is a geometrical object that is straight, endless and thin.
- It is continuous and we can increase the length, straight or curved.
- It will not have thickness; the trace of proceeding points.
Parallel lines :
If two lines are always at the same distance apart and will not meet. This kinds of lines are known as parallel lines.
The length of two lines should not be same. The perpendicular distance between those two lines must be same anywhere.
Practical example :
Railway track
The symbol || is use to represent parallel lines. In the above picture the first line is shorter than the second line but both the lines are in same direction.
The perpendicular distance between them are same and they should not meet anywhere.
Properties of parallel lines
If two lines are intersected by a transversal,pair of acute angles
are equal in measure, pairs of obtuse angles are also equal in
measure,and any acute angle is supplementary to any obtuse angle.
If line m is || to line n, then:
Alternate interior angles will be equal in measure.
Corresponding angles will be equal in measure.
The sum of degree measures of two interior angles on the same side of the transversal is 180.
Also, the sum of the degree measures by any acute angle and any obtuse angle will be 180.
Perpendicular lines:
Perpendicular line mean two lines it should intersect and form right angles are called perpendicular lines. Perpendicular line is denoted by the symbol of (⊥ )
Concurrent lines :
If two or more lines passing through the same point then the lines are called concurrent lines.
Horizontal line
A line which is parallel to x-axis is called as horizontal line.
Vertical line
A line which is perpendicular to x-axis is called as vertical line.
Skew lines
When two non parallel lines are not intersecting in a space, they are called as skew lines.
Tranversal line
Transversal line is a straight line that cuts 2 or more lines. The lines may or may not be parallel.
Coplanar lines
Coplanar lines are lines that lie on the same plane.
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