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| {{uncommon identity}}
| | [[Image:Triangle.png|right]] |
| {{infobox identity
| | A '''triangle''' is a three-sided [[geometric]] [[shape]]. |
| | flag = trigender.png
| | In [[Euclidean geometry]], each side of a triangle is perfectly straight, and the sum of the internal angles of a triangle is always 180º. |
| | related = [[Polygender]] and [[Bigender]] | | A triangle is defined by any three points that are not [[collinear]]. |
| | umbrella = [[Multigender]]
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| | frequency = 0.1%
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| | gallery_link = Pride Gallery/Trigender
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| }}
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| '''Trigender''' people experience three [[gender]]s, at the same time, or moving between the three at different times.<ref name="feinberg trans lib">Leslie Feinberg, ''Trans Liberation: Beyond Pink Or Blue'', page 53-4, Beacon Press, 1999, ISBN 0-8070-7951-0, ISBN 978-0-8070-7951-5.</ref><ref>Alexia Elejalde-Ruiz, "[http://articles.chicagotribune.com/2009-11-18/news/0911180173_1_gender-born-layers For the young, gender is fluid]", ''Chicago Tribune'', November 18, 2009. [https://web.archive.org/web/20230517225626/http://articles.chicagotribune.com/2009-11-18/news/0911180173_1_gender-born-layers Archived] on 17 July 2023</ref> These three genders can be any gender, either binary or nonbinary.<ref>Maurianne Adams, Lee Anne Bell, Pat Griffin, ''Teaching for diversity and social justice'', page 224,CRC Press, 2007, ISBN 0-415-95200-X, 9780415952002.</ref> A trigender person may change from expressing one gender to another, depending on that person's mood or situation.<ref name="Herdt">Gilbert H. Herdt, ''Third sex, third gender: beyond sexual dimorphism in | |
| culture and history'', Zone Books, 1996, ISBN 0-942299-82-5, ISBN 978-0-942299-82-3.</ref> Someone who identifies as trigender may feel that their gender is a combination of several genders happening at the same time.<ref>Alexia Elejalde-Ruiz, "For the young, gender is fluid", ''Chicago Tribune'', November 18, 2009.</ref> Trigender falls under the general categories of [[multigender]] (having many genders) and sometimes [[genderfluid]] (having genders that change from time to time). It can also be considered a type of [[genderqueer]] or [[nonbinary]] identity, which goes beyond the Western [[binary gender]] system,<ref name="Herdt"/> much as can be seen in cultures that recognize individuals' right to define their own sense of self<ref name="Bentz">Leslie Bentz, "The Neurobiology of Gender Bending", Bryn Mawr , 2005.</ref>
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| In most Western societies, straying outside of the gender dichotomy is seen as socially unacceptable to the patriarchy.<ref name="Bentz"/><ref>Stephen Marc Beaudoin, "And Another Barrier is Broken: Meet Silverton, Oregon’s Gender-Fluid, Trans-Identified Mayor-Elect, Stu Rasmussen", ''Just Out'', November 6th, 2008.</ref> The term [[third gender]] has been applied to to many kinds of people, even to white Westerners themselves, who do not conform into rigid categories of heterosexual roles and gender-conforming men and women. The phrase "third gender" has been used for a wide variety of meanings: [[intersex]] people whose bodies do not fit outdated Western medical concepts of binary sex, [[gender-variant identities worldwide|hundreds of indigenous societal roles]] as described (and often misrepresented) by Western anthropologists (including indigenous identities such as south Asian [[hijra]]s, Hawaiian and Tahitian [[māhū]], and Native American identities now called [[Two-Spirit]]s),<ref>Julia Serano, ''Whipping Girl: A Transsexual Woman on Sexism and the Scapegoating of Femininity.'' Unpaged.</ref> transgender people who are [[nonbinary]], homosexual people even in Western societies,<ref name="Trumbach">Trumbach, Randolph. (1998) ''Sex and the Gender Revolution. Volume 1: Heterosexuality and the Third Gender in Enlightenment London''. Chicago: U of Chicago P, 1998. (Chicago Series on Sexuality, History & Society)</ref><ref name="The Social Studies C">{{cite book |last=Ross |first=E. Wayne |title=The Social Studies Curriculum: Purposes, Problems, and Possibilities |publisher=SUNY Press |year=2006|isbn= 978-0-7914-6909-5 |url = https://books.google.com/books?id=4qFMqjxte9IC }}</ref><ref>Kennedy, Hubert C. (1980) ''The "third sex" theory of Karl Heinrich Ulrichs'', Journal of Homosexuality. 1980–1981 Fall–Winter; 6(1–2): pp. 103–1</ref> and women who were considered to be [[gender-nonconforming]] because they fought for [[feminism|women's rights]].<ref>{{cite journal | jstor=407320 | pages=582–599 | last1=Wright | first1=B. D. | title="New Man," Eternal Woman: Expressionist Responses to German Feminism | volume=60 | issue=4 | journal=The German Quarterly | year=1987 | doi=10.2307/407320 }}</ref> A significant number of nonbinary people have adopted "third gender" to describe themselves. In the 2019 Worldwide Gender Census, 2.17% (244) of the 11,242 respondants called themselves third gender.<ref name="2019 Gender Census">"Gender Census 2019 - the worldwide TL;DR." ''Gender Census.'' March 31, 2019. Retrieved July 5, 2020. https://gendercensus.com/post/183843963445/gender-census-2019-the-worldwide-tldr Archive: https://web.archive.org/web/20200118084451/https://gendercensus.com/post/183843963445/gender-census-2019-the-worldwide-tldr</ref>
| | ==Naming conventions== |
| | Usually, the vertices of a triangle are counter-clockwise denoted by big Latin letters, while small Latin letters are used for the sides: Each side will have the same letter as the opposite vertex. |
| | The angles are denoted by Greek letters, if possible, the letter of an angle will correspond to the letter of the adjacent vertex. |
| | Often, the sides will be referenced by the adjacent vertices: in the triangle on top of this page, we have <math>a = \overline{BC} = \overline{CB}, b = \overline{CA} = \overline{CA}, c = \overline{BA} = \overline{AB} </math>. |
| | Similarly, the angles are denoted as <math>\alpha = \angle CAB, \beta = \angle ABC, \gamma = \angle BCA</math>. |
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| ==History==
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| The word "trigender" was in use at least before 1999.<ref name="feinberg trans lib" /> Trigender was mentioned as one of many valid nonbinary identities in the 2013 text ''Sexuality and Gender for Mental Health Professionals: A Practical Guide''.<ref>{{cite book|isbn=9781446293133|title=Sexuality and Gender for Mental Health Professionals: A Practical Guide|last1=Richards|first1=Christina|last2=Barker|first2=Meg|year=2013|publisher=SAGE Publications}}</ref> In the 2019 Worldwide Gender Census, 14 respondents called themselves trigender.<ref name="2019 Gender Census" />
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| == See also == | | ==Types of triangles== |
| * [[Multigender]]
| | A [[right triangle]] has one 90º angle. Right triangles have special properties (see [[trigonometry]]). |
| * [[Genderfluid]]
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| * [[Bigender]]
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| == References == | | An [[isosceles triangle]] has two equal angles, and two equal sides. |
| <references /> | | |
| [[Category:Nonbinary identities]] | | An [[equilateral triangle]] has three equal sides, and three 60º angles. |
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| | If a triangle is not one of the above, it is a '''scalene triangle''' -- that is, a triangle with no [[congruent]] angles. |
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| | An '''obtuse triangle''' has one angle that measures more than 90<sup>o</sup>. |
| | |
| | {| class="wikitable" |
| | |- |
| | |<!--col1-->[[Image:Right-triangle.png|150px]] |
| | |<!--col2-->[[Image:Isoscles-triangle.png|150px]] |
| | |<!--col3-->[[Image:Equilateral-triangle.png|150px]] |
| | |<!--col4-->[[Image:Obtuse-triangle.png|150px]] |
| | |- |
| | |<!--col1-->Right Triangle |
| | |<!--col2-->Isosceles Triangle |
| | |<!--col3-->Equilateral Triangle |
| | |<!--col4-->Obtuse Triangle |
| | |- |
| | |<!--col1--><math>\angle CBA =90^\circ = \pi/2</math> |
| | |<!--col2--><math>\angle BCA = \angle CAB </math> |
| | |<!--col3--><math>\angle ABC = \angle BCA = \angle CAB</math> |
| | |<!--col4--><math>\angle ACB > 90^\circ</math> |
| | |}<!--end wikitable--> |
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| | ==Congruence of triangles== |
| | Triangles can be proven [[congruent]] in the following ways: |
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| | '''Side-Angle-Side (SAS)''': If two sides are equal and the included angle is equal to another triangle, then the triangles are congruent.<br> |
| | '''Side-Side-Side (SSS)''': If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.<br> |
| | '''Angle-Side-Angle (ASA)''': If two angles and the included side of one triangle are equal the ones of another triangle, then the triangles are congruent.<br> |
| | '''Angle-Angle-Side (AAS)''': If two angles and a side that is not included are equal to the ones of another triangle, then the triangles are congruent.<br> |
| | The SSA (Side-Side-Angle) cannot prove triangles congruent unless it is a right angle, where it is known as the HL (Hypotenuse-Leg) Theorem. AAA (Angle-Angle-Angle) cannot prove triangles congruent either. In [[hyperbolic geometry]], however, it does prove congruence. |
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| | ==See also== |
| | *[[polygon]] |
| | *[[Pascal's triangle]] |
| | *[[Sierpinski triangle]] |
| | *[[Bermuda Triangle]] |
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| | [[Category:Geometry]] |