# Do parallel lines have to lie on the same plane?

Two

**lines**in the**same**three-dimensional space that**do**not intersect need not be**parallel**. Only if they are in a common**plane**are they called**parallel**; otherwise they are called skew**lines**.A.

### Do skew planes exist?

In three-dimensional geometry,

**skew**lines are two lines that**do**not intersect and are not parallel. Two lines that both lie in the same**plane**must either cross each other or be parallel, so**skew**lines can**exist**only in three or more dimensions. Two lines are**skew**if and only if they are not coplanar.#### Do parallel lines intersect?

In projective geometry, any pair of**lines**always**intersects**at some point, but**parallel lines do**not**intersect**in the real plane. The**line**at infinity is added to the real plane. This completes the plane, because now**parallel lines intersect**at a point which lies on the**line**at infinity.#### What is a transversal line?

In geometry, a**transversal**is a**line**that passes through two**lines**in the same plane at two distinct points. Transversals play a role in establishing whether two other**lines**in the Euclidean plane are parallel.#### What is the oblique line?

In math, this adjective refers to geometric**lines**or planes that are not parallel or perpendicular to a**line**or surface. A playground is positioned at an**oblique**angle to the ground.

B.

### Are perpendicular lines are skew?

The other of relationship you need to understand is

**skew lines**.**Skew lines**are**lines**that are non-coplanar (they do not lie in the same plane) and never intersect.#### Do perpendicular lines have to be in the same plane?

Any pair of**perpendicular lines are coplanar**. Since any two intersecting**lines**determine a plane, true. If the segments**are**parallel, the**lines**containing them**are**parallel (by definition), so they must be**coplanar**. So clearly false.#### What is the smallest number of points that can define a plane?

Whats the smallest number of distinct points that can define a plane.

**3**.

How many points can**two**distinct lines intersect.#### What is an intersection in algebra?

In mathematics, the**intersection**A ∩ B of two sets A and B is the set that contains all elements of A that also belong to B (or equivalently, all elements of B that also belong to A), but no other elements. For explanation of the symbols used in this article, refer to the table of mathematical symbols.

C.

### Do skew lines lie in parallel planes?

If a line is perpendicular to a

**plane**, then it is perpendicular to all**lines**in the**plane**. If separate**planes**contain**skew lines**, the**planes**are**parallel**. Two intersecting**lines**can**lie**in more than one**plane**.#### How many points do you need to make a plane?

In a Euclidean space of any number of dimensions, a plane is uniquely determined by any of the following:**Three**non-collinear points (points not on a single line). A line and a point not on that line. Two distinct but intersecting lines.#### What is pie in math?

**Pi**(π) is a**mathematical**constant that is the ratio of a circle's circumference to its diameter, and is approximately equal to 3.14159. It has been represented by the Greek letter "π" since the mid-18th century, though it is also sometimes written as**pi**.#### Is Pi the same as 22 7?

Proof that**22**/**7**exceeds**π**Proofs of the famous mathematical result that the rational number**227**is greater than**π**(**pi**) date back to antiquity. If one knows that**π**is approximately 3.14159, then it trivially follows that**π**<**227**, which is approximately 3.142857.

Updated: 19th September 2018