Understanding Collinear and Coplanar Points

This video tutorial explains the concepts of collinear and non-collinear points, co-planar and non-co-planar points, and lines in geometry. It begins with a definition of collinear points, which are points that lie on the same line. The video then discusses non-collinear points, which do not share a single line but can form a plane. The concept of co-planar points is introduced, highlighting that three points are always co-planar, while four or more may not be. The tutorial also covers co-planar lines, which lie on the same plane, and non-co-planar lines, which do not. The video uses visual examples to aid understanding.

What is the condition for three or more points to be considered collinear?

• They must form a triangle.

• They must all lie on the same line.

• They must be equidistant from each other.

• They must all lie on the same plane.

If three points do not lie on the same line, what are they called?

• Collinear points

• Coplanar points

• Non-collinear points

• Parallel points

What is true about a plane passing through three non-collinear points?

• They must lie on a line.

• Multiple planes can pass through them.

• No plane can pass through them.

• Exactly one plane can pass through them.

What do we call points that lie on the same plane?

• Collinear points

• Non-collinear points

• Coplanar points

• Parallel points

How many points are always coplanar?

• Five points

• Four points

• Three points

• Two points

What is the term for lines that lie on the same plane?

• Non-collinear lines

• Coplanar lines

• Collinear lines

• Parallel lines

Can two lines always be coplanar?

• Only if they intersect

• Only if they are parallel

• No, not necessarily

• Yes, always

What do we call lines that do not lie on the same plane?

• Collinear lines

• Non-coplanar lines

• Parallel lines

• Coplanar lines

Which of the following is true about non-coplanar lines?

• They lie on the same plane.

• They can pass through the same point.

• They must be parallel.

• They do not intersect.

What is a characteristic of a line that passes through a plane but does not lie on it?

• It is a coplanar line.

• It is a non-coplanar line.

• It is a collinear line.

• It is a parallel line.