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.

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 line mean two lines it should intersect and form right angles are called perpendicular lines. Perpendicular line is denoted by the symbol of (⊥ )

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

**Example 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.

**Example 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.**

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

If you have any feedback about our math content, please mail us :

**v4formath@gmail.com**

We always appreciate your feedback.

You can also visit the following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**