﻿ Definition and examples Coplanar | define Coplanar - Geometry - Free Math Dictionary Online

# 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.

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

### 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.

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