Definition of Coplanar
A set of points, lines, line segments, rays or any other geometrical shapes that lie on the same plane are said to be Coplanar.
More About Coplanar
Parallel lines in three-dimensional space are coplanar, but skew lines are not.
Example of Coplanar
All the points A, B, C, and D in the plane P are coplanar
Video Examples: What are coplanar points
Solved Example on Coplanar
Choose the Correct Statement/Statements.
- 1. Points F, A, L, I, C, G, E, O, and B are coplanar.
- 2. Points G, E, F, and A are coplanar.
- 3. O, A, and B are coplanar.
- 4. Points F, A, L, I, C are coplanar.
- A. 1 and 2 only
- B. 3 and 4 only
- C. 4 only
- D. 1 only
Correct Answer: C
- Step 1: A plane is a flat surface that extends in all directions.
- Step 2: F, A, L, I, C lie on plane F and G, E, O, B lie on plane G. So, the first statement is false. [A plane can be named either by a single capital letter or by naming at least three non-collinear points in the plane.]
- Step 3: Points G, E and F, A lie on two different planes. So, they are not coplanar. So, second statement is false.
- Step 4: O and A lie on two different planes. So, they are not coplanar. Therefore, the third statement is also false.
- Step 5: Points F, A, L, I, C lie on the same plane and are coplanar. So, the fourth statement is correct.