Difference between revisions of "Cyclic quadrilateral"
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− | A '''cyclic quadrilateral''' is a [[quadrilateral]] that can be inscribed in a circle. They | + | A '''cyclic quadrilateral''' is a [[quadrilateral]] that can be inscribed in a [[circle]]. They have a number of interesting properties. |
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<center>[[image:Cyclicquad2.png]]</center> | <center>[[image:Cyclicquad2.png]]</center> | ||
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In cyclic quadrilateral <math>ABCD</math>: | In cyclic quadrilateral <math>ABCD</math>: | ||
− | * <math>\angle A + \angle C = \angle B + \angle D = {180}^{o}</math> | + | * <math>\angle A + \angle C = \angle B + \angle D = {180}^{o} </math> |
* <math>\angle ABD = \angle ACD</math> | * <math>\angle ABD = \angle ACD</math> | ||
* <math>\angle BCA = \angle BDA</math> | * <math>\angle BCA = \angle BDA</math> | ||
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* [[Ptolemy's Theorem]] | * [[Ptolemy's Theorem]] | ||
* [[Brahmagupta's formula]] | * [[Brahmagupta's formula]] | ||
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+ | [[Category:Definition]] | ||
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+ | [[Category:Geometry]] | ||
{{stub}} | {{stub}} |
Revision as of 16:53, 31 May 2021
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:
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