Let’s learn about Point!

Definition of point in geometry is well explained, along with simple explanation, different types of points, examples, etc. Let’s explore the point!

Point is a tiny word that doesn’t have any size except the position.

- Points are denoted by capital letters ‘’P’’, or ‘’Q’’ or ‘’R’’ etc.
- The point is represented as a dot.
- It doesn’t have any length, width or height, or thickness.
- If two straight lines are intersected, the position at which intersection happens is known as point.

Point is defined as a position that doesn’t have any size or thickness.

There were so many confusions on the dimension of a point. Finally, it is concluded as 0- dimensional position.

Points are classified into few types,

- Colinear point
- Non-colinear point
- Concurrent point
- Coplanar point

**Collinear Points Definition**

As the name suggests, colinear means linear. The points which are in a linear section or on a straight line, are known as collinear points.

Col means together in Latin word. So, collinear means col + linear means points together in a linear way.

Let’s consider, point P, Q, R, S on the straight line, as below.

**Collinear Point Examples**

Collinear points can be easily understood with a very simple example. We all have learned that light travels in a straight line and a candle experiment has been done.

In that experiment, we have seen that all the points (P, Q, R, S) are positioned in a straight line. Here come the collinear points, as all points are in the same straight line.

On a single bench, you along with your friends are sitting

**Non-collinear Point Definition**

As the name suggests, non-collinear means non-linear. The points which are not on in a linear section or not on a straight line, are known as non-collinear points.

Let’s consider, points P’, Q’, as non-colinear points.

**Non-collinear Point Examples**

Non-collinear points can also be explained with a very simple example. If you take few points and try to draw a single straight line and but you are not able to make it, then these points are non-collinear points.

**Concurrent Points Definition**

When two or more lines are intersected at a point, is called a concurrent point.

Let’s consider, point P, Q, R, S, and the line between P-R and Q-S intersected at point A. This point A is called a concurrent point.

**Concurrent Points Examples**

Let’s see an easy example of concurrent points. We all know kites and also spent time flying the kites.

If you see the structure of the kite, you will see two sticks are crossed and intersected at a point. This point is known as the concurrent point.

**Coplanar Point Definition**

Coplanar, as the name implies, means the points lie on a plane.

- To check coplanar points, there should be a minimum of three points.
- All three points are coplanar based on the three-dimensional figures.

Here, point A, B, C, D all are on a single plane. So, these points are coplanar points.

**Coplanar Point Examples**

Take four points on a table, it means all the points are on the table surface. So, these points are coplanar points.

Collinear Points | Coplanar points |

All points on a line | All points on a single plane |

Points on a straight line are examples | Points a single plane are examples. |

There are so many interesting philosophies existed about points, these are,

- The point means a dot and you can make it 1mm diameter but still, it will not have any size or dimension.
- Any numbers it may be 5000 or even 5,00,000, a point can make it 0.5 with its position.

Refer to the below diagram and try to solve the small exercise.

- Identify the points.
- Identify the points which are collinear.
- Identify the points which are non-collinear.
- Identify the points which are coplanar.

**Solution**

Points A, B, C, D, E, F, G, and H are simple dots that don’t have any dimension. These are points.

The following points lie on the same straight line and we already learned that if points lie on the same line is called collinear points,

- ACE
- AGF
- CGH

Points B, and D are not on the same line and these are colinear points. The following points are on the same plane and we already learned that if points lie on the same plane is called coplanar points,

- ACFH
- ACFG
- ACG
- CFG
- AGFH
- AGH
- FGH

Hence, we have got a basic idea about what is point in geometry. Any comments, please let us know.

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