coplanar


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.

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.

Choices:
A. 1 and 2 only
B. 3 and 4 only
C. 4 only
D. 1 only
Correct Answer: C
Solution:
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.

Related Terms for Coplanar

  • Collinear
  • Line
  • Plane
  • Point