Art of Problem Solving

Quadrilateral: Difference between revisions

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A '''quadrilateral''' is a four-sided [[polygon]].  Some common quadrilaterals are [[square (geometry) | square]]s, [[rectangle]]s, [[rhombus]]es, [[parallelogram]]s, [[trapezoid]]s and [[kite]]s.  
==Definition==
A '''quadrilateral''' is a four-sided [[polygon]].


==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 ==
* [[Cyclic quadrilateral | cyclic quadrilaterals]]
* [[Cyclic quadrilateral]]s


=== Resources ===
=== Resources ===
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== Intermediate topics ==
== Intermediate topics ==
* [[Ptolemy's Theorem]]
* [[Ptolemy's Theorem]]
* [[Brahmagupta's formula]]
=== Resources ===
=== Resources ===
==== Books ====
==== Books ====
* [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.
 
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[[Category:Definition]]
[[Category:Geometry]]
[[Category:Geometry]]
[[Category:Definition]]

Latest revision as of 19:14, 16 January 2025

Definition

A quadrilateral is a four-sided polygon.

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 article: 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.