What is Point (geometry)?
A '''point''' is a [[position]] in [[Euclidean space|space]] which has no size, but which does have position. In [[geometry]], a point has no [[size]], but has a position. This means it has no [[volume]], [[area]] or [[length]]. We usually draw a point as a small [[cross]] 'X' or a small '''dot''' (a small, round shape). Different points can be labelled using [[capital letter]]s (A, B, C...X, Y, Z).<ref>{{Cite web|last=|first=|date=2020-04-17|title=List of Geometry and Trigonometry Symbols|url=https://mathvault.ca/hub/higher-math/math-symbols/geometry-trigonometry-symbols/|archive-url=|archive-date=|access-date=2020-09-24|website=Math Vault|language=en-US}}</ref><ref>{{Cite web|title=Point - math word definition - Math Open Reference|url=https://www.mathopenref.com/point.html|access-date=2020-09-24|website=www.mathopenref.com}}</ref> The point is one of the most fundamental ideas in geometry.<ref>{{Cite web|title=Points, Lines, and Planes|url=https://www.cliffsnotes.com/study-guides/geometry/fundamental-ideas/points-lines-and-planes|access-date=2020-09-24|website=www.cliffsnotes.com}}</ref> Two points form a [[line segment]]. When part of a line segment, the points are called its [[vertices]]. All [[Polytope|polytopes]] are made of vertices. In general, '''two points''' can be: * Coincident (they are one and the same, such as on coinciding lines)<ref>{{Cite web|title=Coincident Lines (Definition, Equation & Example)|url=https://byjus.com/maths/coincident-lines/|access-date=2024-08-19|website=BYJUS|language=en}}</ref> * Not coincident (they are not one and the same) and are always: * Coplanar (on the same plane) * Colinear (on the same line) * Concyclic (on the same circle) '''Three points''' can be: * Colinear * Coincident * Not coincident * Not colinear and are always: * Coplanar * Concyclic '''Four points''' can be: * Coplanar * Colinear * Coincident * Not coincident * Not colinear * Not coplanar == Related pages == * [[Line]] * [[Plane (mathematics)|Plane]] == References == <references /> {{math-stu