[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-73980-es":3,"doc-seo-73980-110":29,"detail-sidebar-cat-0-es-110":90},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":20,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":21,"language":22,"language_code":23,"site_id":24,"html_lang":23,"table_of_contents":25,"faqs":26,"seo_title":13,"seo_description":14,"update_tm":27,"read_time":28},73980,3848291630094,"Emma Wilson","https://eur-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45",44,"General","Plain Figures and Polygons","This document provides a comprehensive overview of flat geometric figures, focusing on polygons. It begins by defining flat figures as shapes formed by consecutive segments, categorizing them as open or closed. A detailed explanation of polygons follows, describing them as figures formed by a closed polygonal line. The document elaborates on the essential elements of polygons: sides (segments forming the line), vertices (points where sides meet), angles (formed by the sides), and diagonals (segments connecting non-consecutive vertices). It further distinguishes between regular polygons, possessing equal sides and angles, and irregular polygons, which lack this uniformity. The concept of perimeter is defined as the sum of side lengths, with a specific formula for regular polygons: multiplying the side length by the number of sides. The document then delves into the classification of polygons based on their number of sides, starting with triangles (3 sides), followed by quadrilaterals (4 sides), and extending to pentagons (5 sides) through decagons (10 sides). Triangles are further subdivided based on their sides (equilateral, isosceles, scalene) and angles (rectangular, acutangular, obtusangular). Quadrilaterals are detailed with classifications including parallelograms (with subcategories like square, rectangle, rhombus, and rhomboid), trapezoids, and trapeziums. This structured presentation aids in understanding the fundamental properties, elements, and classifications of polygons and related flat figures, serving as a valuable educational resource for geometry.","| FIGURASPLANAS\u003Cbr>Están formadas por varios segmentos consecutivos Pueden ser Abiertas Cerradas |  |\n| --- | --- |\n| POLÍGONO\u003Cbr>\u003Cbr>Figura formada por una línea poligonal cerrada\u003Cbr>\u003Cbr>ELEMENTOS\u003Cbr>LADOS Segmentos que forman la línea poligonal VÉRTICES Cada uno de los puntos donde se unen los lados ÁNGULOS Ángulos formados por los lados DIAGONALES Segmentos que unen dos vértices no consecutivos\u003Cbr>\u003Cbr>TIPOS REGULAR Polígono que tiene todos sus lados y ángulos iguales IRREGULAR Polígono que no tiene todos sus lados o ángulos iguales\u003Cbr>PERÍMETRO Suma de las longitudes de sus lados\u003Cbr>Si es regular—> multiplicar la medida de un lado por el número total de lados |  |\n\n\n| POLÍGONOS |\n| --- |\n| TRIÁNGULOS\u003Cbr>( 3 lados )\u003Cbr>SEGÚNSUS LADOS EQUILÁTERO Tiene los tres lados iguales ISÓSCELES Tiene dos lados iguales ESCALENO Tiene los tres lados desiguales \u003Cbr> SEGÚNSUS ÁNGULOS RECTÁNGULO Tiene un ángulo recto \u003Cbr> ACUTÁNGULO Tiene los tres ángulos agudos OBSTUSÁNGULO Tiene un ángulo obtuso\u003Cbr> |\n\nPOLÍGONOS  \n| CUADRILÁTEROS\u003Cbr>( 4 lados ) |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n| PARALELOGRAMO | Lados paralelos dosa dos | Cuadrado\u003Cbr>4 lados iguales y 4 ángulos iguales |  |  |  |  |  |\n|  |  | Rectángulo\u003Cbr>Lados iguales 2 a 2 y 4 ángulos rectos |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |\n|  |  | Rombo\u003Cbr>4 lados iguales y ángulos iguales 2 a 2\u003Cbr> |  |  |  |  |  |\n|  |  | Romboide\u003Cbr>Lados y ángulos opuestos iguales |  |  |  |  |  |\n| TRAPECIO | Tiene solo dos lados paralelos |  |  |  |  |  |  |\n| TRAPEZOIDE | No tiene lados paralelos |  |  |  |  |  |  |\n\n\n| PENTÁGONO | 5 lados |  |\n| --- | --- | --- |\n| HEXÁGONO | 6 lados |  |\n| HEPTÁGONO | 7 lados |  |\n| OCTÓGONO | 8 lados |  |\n| ENEÁGONO | 9 lados |  |\n| DECÁGONO | 10 lados |  |","cbCaiiIfEkw9b9qh","https://ap.wps.com/l/cbCaiiIfEkw9b9qh","pdf",1758325,1,3,"Spanish","es",110,"# Figuras Planas\n# Polígono\n## Elementos\n## Tipos\n# Triángulos\n# Cuadriláteros","[{\"question\":\"¿Qué es un polígono?\",\"answer\":\"Un polígono es una figura formada por una línea poligonal cerrada.\"},{\"question\":\"¿Cuáles son los elementos de un polígono?\",\"answer\":\"Los elementos de un polígono son sus lados, vértices, ángulos y diagonales.\"},{\"question\":\"¿Cómo se clasifican los triángulos según sus lados?\",\"answer\":\"Los triángulos se clasifican según sus lados en equiláteros (tres lados iguales), isósceles (dos lados iguales) y escalenos (tres lados desiguales).\"}]",1784051416,5,{"code":4,"msg":30,"data":31},"ok",{"site_id":24,"language":23,"slug":32,"title":13,"keywords":33,"description":14,"schema_data":34,"social_meta":85,"head_meta":87,"extra_data":89,"updated_unix":27},"plain-figures-and-polygons","",{"@graph":35,"@context":84},[36,52,67],{"@type":37,"itemListElement":38},"BreadcrumbList",[39,43,47,49],{"item":40,"name":41,"@type":42,"position":20},"https://docshare.wps.com","Home","ListItem",{"item":44,"name":45,"@type":42,"position":46},"https://docshare.wps.com/es/document/","Document",2,{"item":48,"name":12,"@type":42,"position":21},"https://docshare.wps.com/es/document/general/",{"item":50,"name":13,"@type":42,"position":51},"https://docshare.wps.com/es/document/plain-figures-and-polygons/73980/",4,{"url":50,"name":13,"@type":53,"author":54,"headline":13,"publisher":56,"fileFormat":59,"inLanguage":23,"description":14,"dateModified":60,"datePublished":61,"encodingFormat":59,"isAccessibleForFree":62,"interactionStatistic":63},"DigitalDocument",{"name":9,"@type":55},"Person",{"url":40,"name":57,"@type":58},"DocShare","Organization","application/pdf","2026-07-21","2026-07-14",true,{"@type":64,"interactionType":65,"userInteractionCount":20},"InteractionCounter",{"@type":66},"ViewAction",{"@type":68,"mainEntity":69},"FAQPage",[70,76,80],{"name":71,"@type":72,"acceptedAnswer":73},"¿Qué es un polígono?","Question",{"text":74,"@type":75},"Un polígono es una figura formada por una línea poligonal cerrada.","Answer",{"name":77,"@type":72,"acceptedAnswer":78},"¿Cuáles son los elementos de un polígono?",{"text":79,"@type":75},"Los elementos de un polígono son sus lados, vértices, ángulos y diagonales.",{"name":81,"@type":72,"acceptedAnswer":82},"¿Cómo se clasifican los triángulos según sus lados?",{"text":83,"@type":75},"Los triángulos se clasifican según sus lados en equiláteros (tres lados iguales), isósceles (dos lados iguales) y escalenos (tres lados desiguales).","https://schema.org",{"og:url":50,"og:type":86,"og:title":13,"og:site_name":57,"og:description":14},"article",{"robots":88,"canonical":50},"index,follow",{"doc_id":7,"site_id":24},{"code":4,"msg":5,"data":91},[92,97,101,105,107,111,115,119,123,127],{"id":93,"doc_module":4,"doc_module_name":45,"category_name":94,"show_sort_weight":95,"slug":96},39,"Cómic",60,"comic",{"id":98,"doc_module":4,"doc_module_name":45,"category_name":99,"show_sort_weight":95,"slug":100},43,"Estilo de Vida","lifestyle",{"id":102,"doc_module":4,"doc_module_name":45,"category_name":103,"show_sort_weight":95,"slug":104},38,"Examen","exam",{"id":11,"doc_module":4,"doc_module_name":45,"category_name":12,"show_sort_weight":95,"slug":106},"general",{"id":108,"doc_module":4,"doc_module_name":45,"category_name":109,"show_sort_weight":95,"slug":110},41,"Investigación e 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