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.
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.
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.
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
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.
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:
- Only one straight line can be drawn with two points.
- Numerous straight lines can be drawn with one point. And those straight lines are called concurrent straight lines.
- Two straight lines may intersect at one point.
- A straight may intersect a plane at one point. The meeting point of two planes is a straight line.
- The point is dimensionless but the straight line is one-dimensional.
- The point does not have a specific direction but the straight line has a specific direction.
- Only one straight line can be drawn with two points on the same plane.
- A maximum of three straight lines can be drawn with three points.
- 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
|The line is one-dimensional||The point is dimensionless|
|The line is the edge or boundary of the surface||The point is the edge or boundary of the line|
|The connecting point of two points is the line||Positional geometric objects are called points|
|There are two types of lines – straight lines, curved lines||There are three types of points – collinear point, noncollinear point, concurrent point|
The difference between Line and Surface
|The line is one-dimensional||The surface is two-dimensional|
|There is only the length of the line||But 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
- Which has a length, width, but thickness is negligible and by which a solid is surrounded is called plane.
- The line originates when the two planes meet. The line indicates the expansion of the surface.
- A geometric figure that has no length, width and height, it has only position is called a point.
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