Non-Coplanar and Collinear Points

The video tutorial explains the concepts of collinear and coplanar points in geometry. It defines collinear points as those lying on the same line and coplanar points as those on the same plane. The tutorial provides examples and problem-solving exercises to identify non-collinear and non-coplanar points. It also discusses the conditions under which three points can be collinear and explains the intersection of planes, emphasizing that intersecting planes form a line, not a single point.

What does the prefix 'Co' signify in the terms collinear and coplanar?

• Together

• Below

• Apart

• Above

Which of the following best describes collinear points?

• Points on the same plane

• Points on different lines

• Points on the same line

• Points on different planes

Which of the following is true about collinear points?

• They lie on different lines

• They lie on the same line

• They lie on different planes

• They lie on the same plane

Which of the following is true about collinear points?

• They lie on the same line

• They lie on different lines

• They lie on the same plane

• They lie on different planes

If points A, B, and C are on the same line, what are they considered?

• Collinear

• Coplanar

• Non-collinear

• Non-coplanar

What is a plane best compared to?

• A triangle

• A solid cube

• A sphere

• A thin sheet of paper

Which of the following points are not coplanar if D is above the plane containing A, B, and C?

• B, C, D

• A, B, D

• A, B, C

• A, C, D

If point D is above the plane containing A, B, and C, what is D considered?

• Collinear

• Non-collinear

• Coplanar

• Non-coplanar

Which of the following is a characteristic of a plane?

• It extends infinitely

• It is finite

• It is a solid object

• It is a point

Which of the following is true about coplanar points?

• They lie on the same line

• They lie on different planes

• They lie on the same plane

• They lie on different lines