Concept

Point

A point is an object without shape or size, used to describe a location or position. To assist with their visualization, points are usually illustrated as a single dot and labeled using capital letters.

In a two-dimensional coordinate system, the position of a point is given by a pair of coordinates.

Point on the 2D coordinate plane

The first coordinate states the position along the x-axis and the second coordinate states the position along the y-axis.

Extra

Axiomatic approach
When geometry is discussed from an axiomatic point of view, points and lines are used as elementary objects that are used without definition. Basic properties of points and lines are stated as axioms to use as the foundation for proving other statements.

Exercises
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