PARALLEL PERPENDICULAR AND INTERSECTING 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 (⊥ )

Intersecting Lines 

Lines that cross over one another is called as intersecting lines. The point where those lines are intersecting in know as point of intersection.

Solved Problems

Problem 1 :

State whether the given pair of lines are parallel, perpendicular, or intersecting.

Solution :

The above two lines CJ and NL will not intersect at any point. The distance between them are equal at any where.

Hence the given lines are parallel.

Problem 2 :

State whether the given pair of lines are parallel, perpendicular, or intersecting.

Solution :

The above two lines UB and VR are intersecting at right angle.

Hence the above two lines are perpendicular.

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