ELEMENTARY GEOMETRY Point Definition in Geometry and 3 Points

Definition of Point in Geometry and 3 Types of Points

The geometric figure formed by touching the tip of a pen or pencil is called a point in geometry. In other words, the point is the meeting point of two intersecting straight lines.

  

Definition of point

A geometric figure that has no length, width and height, it has only position is called a point.

Point in geometry
Point in Geometry

In the figure, AB and CD intersect at the point P. The ‘P’ marked here is a specific point.

  

Types of Point in Geometry

There are three types of points. Namely – collinear point, noncollinear point, concurrent point.

Types of Point in geometry
Types of Points
  

Definition of Collinear Point in Geometry

If more than one point is located on a certain straight line, they are called collinear points.

In the figure A, B, C, D are the points lying on the straight line XY are collinear points.

Collinear Point in geometry
Collinear Points
  

Definition of Noncollinear Point in Geometry

If three or more points cannot be joined by a straight line, those points are called noncollinear points.

The four points P, Q, R, S cannot be added in a single straight line so they are noncollinear points

Non-collinear Point in geometry
Non-collinear Points
  

Definition of Concurrent Point in Geometry

If two or more straight lines meet at a point, that point is called concurrent point.

The straight lines in the figure meet at a point, so the point is a concurrent point.

Concurrent point in geometry
Concurrent point

In the above figure AB, CD, FE straight lines meet at Q. So, ‘Q’ is concurrent point.

  

Relationship between point, straight line, and plane

The relationships between points, straight lines and planes are as follows:

  1. Only one straight line can be drawn with two points.
  2. Numerous straight lines can be drawn with one point. And those straight lines are called concurrent straight lines.
  3. Two straight lines may intersect at one point.
  4. A straight may intersect a plane at one point. The meeting point of two planes is a straight line.
  5. The point is dimensionless but the straight line is one-dimensional.
  6. The point does not have a specific direction but the straight line has a specific direction.
  7. Only one straight line can be drawn with two points on the same plane.
  8. A maximum of three straight lines can be drawn with three points.
  9. The whole of the straight line drawn with the two points on the plane will be located on that plane.
  

The difference between Line and Point in Geometry

Line
Point
The line is one-dimensionalThe point is dimensionless
The line is the edge or boundary of the surfaceThe point is the edge or boundary of the line
The connecting point of two points is the linePositional geometric objects are called points
There are two types of lines – straight lines, curved linesThere are three types of points – collinear point, noncollinear point, concurrent point
  

The difference between Line and Surface

Line
Surface
The line is one-dimensionalThe surface is two-dimensional
There is only the length of the lineBut the surface has length and width

Do you learn about surface and its types? Read the following post Surface in Geometry and Its 2 Types

  

Always Remember

  1. Which has a length, width, but thickness is negligible and by which a solid is surrounded is called plane.
  2. The line originates when the two planes meet. The line indicates the expansion of the surface.
  3. A geometric figure that has no length, width and height, it has only position is called a point.
Next Topic >>
Surface
Next Topic >>
15 Types of Angle

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