In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet.

Two lines in a plane are said to be parallel if they do not intersect when extended infinitely in both directions. Two straight lines are said to be parallel if their slopes are equal and they have different y-intercepts. Given below are a few important properties of parallel lines that actually reflect the characteristics of parallel lines.

If two lines which are parallel are intersected by a transversal then the pair of corresponding angles are equal. From Fig. 3: ∠1=∠6, ∠4=∠8, ∠2= ∠5 and ∠3= ∠7. The converse of this axiom is also true according to which if a pair of corresponding angles are equal then the given lines are parallel to each other.

Understand and use the relationship between parallel lines and alternate and corresponding angles.

Parallel lines are coplanar lines that do not intersect. In two dimensions, parallel lines have the same slope . We can write the equation of a line parallel to 

26/06/2007 · Processor: 3.4 GHz Pentium 4 or AMD Athlon. Memory: 512 MB. Graphics: 128 MB DirectX 9.0c-compliant supporting Shader Model 2.0 (*see supported list) DirectX Version: DirectX 9.0c. Sound: DirectX 9.0c-compliant sound card. Hard Drive: 4.8GB free hard disk space. *Supported Video Cards at Time of Release: ATI RADEON 8500/9000/X families,NVIDIA

Parallel lines are lines which are always the same distance apart and never meet. Arrowheads show lines are parallel. When a pair of parallel lines is cut 

Parallel Lines - Definition, Angle, Formula, Symbol. Parallel lines are lines that never intersect. These lines are characterized by being equidistant at each corresponding point. We can determine whether two or more lines are parallel by ensuring that their slopes are the same. Here, we will learn more details about parallel lines and solve

Parallel lines: The combination of two or more lines that are stretched to infinity and never intersect each other are called the parallel line or coplanar lines. The parallel lines are denoted by a special symbol, given by ||. Transversal: A transversal of any given line is a line that intersects two or more given lines at distinct points.

The parallel lines and may have all points in common, that is, be two different names for the same line. A line is parallel to itself. Thus, , and. In Chapter 4, we stated the following postulate: Two distinct lines cannot intersect in more than one point. This postulate, together with the definition of parallel lines, requires that

This postulate means that only one parallel line will pass through the point Q, no more than two parallel lines can pass at the point Q. Postulate of lines cut by a transversal. If two lines a and b are cut by a transversal line t and a pair of corresponding angles are congruent, then the lines a and b are parallel.