# Difference between revisions of "Cyclic quadrilateral"

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− | ''' | + | A '''cyclic quadrilateral''' is a [[quadrilateral]] that can be inscribed in a [[circle]]. They have a number of interesting properties. |

− | + | <center>[[image:Cyclicquad2.png]]</center> | |

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+ | == Properties == | ||

In cyclic quadrilateral <math>ABCD</math>: | In cyclic quadrilateral <math>ABCD</math>: | ||

Line 8: | Line 10: | ||

* <math>\angle ABD = \angle ACD</math> | * <math>\angle ABD = \angle ACD</math> | ||

* <math>\angle BCA = \angle BDA</math> | * <math>\angle BCA = \angle BDA</math> | ||

− | * <math>\angle BAC = \angle | + | * <math>\angle BAC = \angle BDC</math> |

* <math>\angle CAD = \angle CBD</math> | * <math>\angle CAD = \angle CBD</math> | ||

− | + | == Applicable Theorems/Formulae == | |

The following theorems and formulae apply to cyclic quadrilaterals: | The following theorems and formulae apply to cyclic quadrilaterals: | ||

− | * [[Ptolemy's | + | * [[Ptolemy's Theorem]] |

* [[Brahmagupta's formula]] | * [[Brahmagupta's formula]] | ||

+ | |||

+ | [[Category:Definition]] | ||

+ | |||

+ | [[Category:Geometry]] | ||

+ | |||

+ | {{stub}} |

## Latest revision as of 03:22, 31 January 2016

A **cyclic quadrilateral** is a quadrilateral that can be inscribed in a circle. They have a number of interesting properties.

## Properties

In cyclic quadrilateral :

## Applicable Theorems/Formulae

The following theorems and formulae apply to cyclic quadrilaterals:

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