CLASS-4
GEOMETRY - POINT

POINT -

In mathematics, a point is a fundamental object used to represent a precise location or position in space. A point has no size, shape, or dimension and is typically denoted by a dot.

A point is often described as having zero dimensions because it has no length, width, or height. However, a point can still have properties such as coordinates, which describe its position relative to a chosen reference frame.

Points are used in various branches of mathematics, including geometry, topology, and analysis, and are essential in defining other mathematical objects such as lines, planes, and curves.

In geometry, a point is a precise location in space that has no size, shape, or dimension. Points are typically represented as a dot on a plane or a sheet of paper, but they do not have any measurable attributes such as length, width, or height. Points are used as the building blocks of geometry, forming the basis for more complex shapes and figures. In mathematics, points are often denoted by a single letter, such as "P" or "Q", or by a combination of letters and numbers, such as "A(2, 5)".

In mathematics, a point is a fundamental concept that has no size, shape, or dimension. It is simply a location in space, represented by a pair of coordinates, usually denoted by x and y or by three coordinates, x, y, and z, in three-dimensional space. A point is typically described using its position relative to a reference system or other objects. Points are used to define lines, curves, surfaces, and other geometric objects in mathematics. In addition to its use in geometry, the concept of a point has applications in physics, engineering, computer graphics, and other fields.

In mathematics, a point is a precise location in space that has no size, shape, or dimension. It is usually represented by a dot or a small letter, such as "P". Points can be located on a two-dimensional plane, a three-dimensional space, or any other mathematical construct.

A point is considered as a fundamental building block of geometry and is used to define other geometric objects such as lines, planes, angles, and curves. In the Euclidean geometry, points are assumed to be infinitely small and are usually defined by their coordinates, which are their positions relative to a fixed reference point or origin.

There are some examples are given below, for your better understanding -

Example.1 -

geometry

There is a line, which starts from ‘0’ (zero) and ends at A. Here ‘A’ & ‘O’ both are points.


Example.2

geometry

There is a line, which starts from ‘A’ and ends at B or starts from B and ends at A. Here ‘A’ & ‘B’ both are points.