Art of Problem Solving

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A '''quadrilateral''' is a four-sided [[polygon]].  Some special quadrilaterals include [[square (geometry) | square]]s, [[rectangle]]s, [[rhombus|rhombi]], [[parallelogram]]s, [[trapezoid]]s, [[kite]]s, and [[cyclic quadrilateral]]s.  
==Definition==
A '''quadrilateral''' is a four-sided [[polygon]].  Some special quadrilaterals include [[square (geometry)|square]]s, [[rectangle]]s, [[rhombus|rhombi]], [[parallelogram]]s, [[trapezoid]]s, [[kite]]s, and [[cyclic quadrilateral]]s.
 
==Types of quadrilaterals==
===Kite===
{{main|Kite}}
A kite is a quadrilateral with two pairs of adjacent [[congruent]] [[edge]]s.
===Cyclic Quadrilateral===
{{main|Cyclic quadrilateral}}
A cyclic quadrilateral is a [[quadrilateral]] that is [[cyclic]].
===Parallelogram===
{{main|Parallelogram}}
A parallelogram is a quadrilateral with two pairs of [[parallel]] [[edge]]s.
===Rhombus===
{{main|Rhombus}
A rhombus is an [[equilateral]] parallelogram.
===Rectangle===
{{main|Rectangle}}
A rectangle is an [[equiangular]] parallelogram.
==Square==
{{main|Square (geometry)}}
A square is any [[figure]] that is both a rectangle and a rhombus.


== Introductory topics ==
== Introductory topics ==
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* [http://www.amazon.com/exec/obidos/ASIN/0486691543/artofproblems-20 Challenging Problems in Geometry] -- A good book for students who already have a solid handle on elementary geometry.
* [http://www.amazon.com/exec/obidos/ASIN/0486691543/artofproblems-20 Challenging Problems in Geometry] -- A good book for students who already have a solid handle on elementary geometry.
* [http://www.amazon.com/exec/obidos/ASIN/0883856190/artofproblems-20 Geometry Revisited] -- A classic.
* [http://www.amazon.com/exec/obidos/ASIN/0883856190/artofproblems-20 Geometry Revisited] -- A classic.
 
{{stub}}
[[Category:Definition]]
[[Category:Definition]]
[[Category:Geometry]]
[[Category:Geometry]]

Revision as of 19:18, 6 October 2024

Definition

A quadrilateral is a four-sided polygon. Some special quadrilaterals include squares, rectangles, rhombi, parallelograms, trapezoids, kites, and cyclic quadrilaterals.

Types of quadrilaterals

Kite

Main article: Kite

A kite is a quadrilateral with two pairs of adjacent congruent edges.

Cyclic Quadrilateral

Main article: Cyclic quadrilateral

A cyclic quadrilateral is a quadrilateral that is cyclic.

Parallelogram

Main article: Parallelogram

A parallelogram is a quadrilateral with two pairs of parallel edges.

Rhombus

{{main|Rhombus} A rhombus is an equilateral parallelogram.

Rectangle

Main article: Rectangle

A rectangle is an equiangular parallelogram.

Square

Main article: Square (geometry)

A square is any figure that is both a rectangle and a rhombus.

Introductory topics

Resources

Books

Intermediate topics

Resources

Books

This article is a stub. Help us out by expanding it.