View source for Geometric shape

A '''geometric shape''' is the geometric information which remains when [[Translation (geometry)|location]], [[Scaling (geometry)|scale]], [[Orientation (geometry)|orientation]] and [[Reflection (mathematics)|reflection]] are removed from the description of a [[geometric object]].

That is, the result of moving a shape around, enlarging it, rotating it, or reflecting it in a mirror is the same [[shape]] as the original, and not a distinct shape.

== Description ==

Objects that have the same shape as each other are said to be [[Similarity (geometry)|similar]]. If they also have the same scale as each other, they are said to be [[Congruence (geometry)|congruent]].

Many two-dimensional geometric shapes can be defined by a set of points or vertices and lines connecting the points in a closed chain, as well as the resulting interior points. Such shapes are called [[Polygon|polygons]] and include [[Triangle|triangles]], [[Square|squares]], and pentagons. Other shapes may be bounded by curves such as the [[Circle|circle]] or the [[ellipse]].

Many three-dimensional geometric shapes can be defined by a set of vertices, lines connecting the vertices, and two-dimensional faces enclosed by those lines, as well as the resulting interior points. Such shapes are called [[Polyhedron|polyhedrons]] and include [[Cube|cubes]] as well as pyramids such as tetrahedrons.

Other three-dimensional shapes may be bounded by curved surfaces, such as the ellipsoid and the [[sphere]].

A shape is said to be convex if all of the points on a line segment between any two of its points are also part of the shape.

== See also ==

* [[Geometric object]]
* [[Mathematical object]]
* [[Orientation (geometry)]]
* [[Reflection (mathematics)]]
* [[Scaling (geometry)]]
* [[Shape]]
* [[Translation (geometry)]]

== External links ==

* [https://en.wikipedia.org/wiki/Geometric_shape Geometric shape] @ Wikipedia

[[Category:Geometry]]
[[Category:Mathematics]]