In these lessons, we will learn how pairs of lines can relate
to each other in four different ways intersecting
lines, parallel lines,
perpendicular
lines,
skew lines

These concepts are useful for understanding and solving various geometry problems.

Related Topics:

More lessons on Geometry

### Intersecting
Lines

The following video gives a definition of intersecting lines.### Parallel
Lines

Parallel lines are coplanar lines that do not intersect.

### Perpendicular
Lines

**Parallel, Perpendicular & Intersecting Lines Song**

Song to help you remember what are parallel, perpendicular and intersecting lines.

Parallel lines never meet;

Intersecting lines make v’s;

Perpendicular lines meet at 90 degrees;

Put your hands in the air with me!!

### Skew
Lines

The following video gives a definition of skew lines.**Difference between parallel lines and skew lines.**

Parallel lines are two coplanar lines that never intersect.

Skew lines are lines that are not coplanar and can never intersect.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

These concepts are useful for understanding and solving various geometry problems.

Related Topics:

More lessons on Geometry

Intersecting lines are lines that meet at a point. When two lines intersect, they define angles at the point of intersection.

at point C

The following video gives a definition of intersecting lines.

Parallel lines are lines that never intersect. The distance between the two lines is fixed and the two lines are going in the same direction.

The following video gives a definition of parallel lines.

Two parallel lines _{}

can be written as_{}

Parallel lines are coplanar lines that do not intersect.

Perpendicular lines are lines that intersect at one point and form a 90° angle.

The following video gives a definition of perpendicular lines.

Two perpendicular lines

_{}

can be written as_{}

Song to help you remember what are parallel, perpendicular and intersecting lines.

Parallel lines never meet;

Intersecting lines make v’s;

Perpendicular lines meet at 90 degrees;

Put your hands in the air with me!!

The above relationships between lines take place on the same plane. However, skew lines only happen in space. Skew lines never intersect because they are not on the same plane. Skew lines are difficult to draw because they exist in the three dimensional space. Lets consider a cube.

Imagine the lines _{}running

along the edges of a cube as shown, and line running on the front surface of the cube.

They are lines in different planes and will never intersect.

The following video gives a definition of skew lines.

Parallel lines are two coplanar lines that never intersect.

Skew lines are lines that are not coplanar and can never intersect.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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