**Never**; Postulate 2.7 states if two

**planes**intersect, then their intersection is a line. SOLUTION:

**The points**must be non-collinear to

**determine a plane**by postulate 2.2. Therefore,

**the**statement is

**sometimes**true.

**Three**non-collinear

**points determine a plane**.

Likewise, people ask, why any two points are collinear?

**Collinear**. Three or more

**points**, , , , are said to be

**collinear**if they lie on a single straight line . A line on which

**points**lie, especially if it is related to a geometric figure such as a triangle, is sometimes called an axis.

**Two points**are trivially

**collinear**since

**two points**determine a line.

Can a line and a point can be collinear?

**Points**that lie on the same

**line**are called

**collinear points**. If there is no

**line**on which all of the

**points**lie, then they are

**noncollinear points**.

Can a line be coplanar and collinear?

**Collinear**points are all in the same

**line**.

**Coplanar**points are all in the same plane. So, if points are

**collinear**then we

**can**choose one of infinite number of planes which contains the

**line**on which these points lie => so they are

**coplanar**by definition.