[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-386330-105":59,"doc-detail-386330-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","days-5-and-6-triangle-congruence-sas-sss-asa-aas","Days 5 and 6 Triangle Congruence - SAS, SSS, ASA, AAS","","This educational document serves as a comprehensive study guide for understanding triangle congruence. It defines the core requirement for congruence, where all corresponding sides and angles must be equal, and introduces efficient shortcuts such as SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), and AAS (Angle-Angle-Side). The text provides clear definitions of congruent parts, the concept of included angles, and practical examples of writing congruency statements for triangles. Designed for geometry students, the material facilitates mastery of identifying and naming congruent corresponding parts in geometric figures through structured practice questions and clear definitions.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/days-5-and-6-triangle-congruence-sas-sss-asa-aas/386330/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/days-5-and-6-triangle-congruence-sas-sss-asa-aas/386330.png","ImageObject",300,407,{"name":92,"@type":93},"PakDamar76","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-24",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the requirement for two triangles to be considered congruent?","Question",{"text":113,"@type":114},"In order for two triangles to be congruent, all their corresponding angles and sides must be congruent.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What are the shortcuts mentioned for proving triangle congruence?",{"text":118,"@type":114},"The shortcuts for proving triangle congruence are SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), and AAS (Angle-Angle-Side).",{"name":120,"@type":111,"acceptedAnswer":121},"How is an included angle defined?",{"text":122,"@type":114},"An included angle is the angle formed by two sides of a triangle, specifically the angle corresponding to the common letter shared by those two sides.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},386330,1790507214,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":145,"read_time":146,"preview_page_count":4},962090893057,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Triangle Congruence  \nDefine congruent….   \nTriangle ABC is congruent to Triangle FED. Name 6 congruent parts…   \nIN ORDER FOR TWO TRIANGLES TO BE CONGRUENT ALL CORRESPONDING ANGLES AND SIDES MUST BE CONGRUENT!  \nCongruency Statement  \nΔABC≅ΔDEF  \nBased on the congruency statement, which angles and which sides must be congruent?  \nComplete the congruency  \nstatement for the following ΔPQR≅Δ  triangles…ΔPQR≅Δ  \n_______________  \nName the corresponding congruent parts for these triangles.  \n1. AB  􀀣    \n2. BC  􀀣    \n3. AC 􀀣  \n4. 􀂑 A 􀀣  \n5. 􀂑 B 􀀣  \n6. 􀂑 C 􀀣  \n􀀧ABC 􀀣 􀀧 DEF  \nCorresponding Parts  \n NO !  \nDo you need all six ?  \n| | SSS\u003Cbr>SAS\u003Cbr>ASA\u003Cbr>AAS |\n| --- | --- |\n|  |  |\n| |  |\n|  |  |\n| |  |\n|  |  |\n\nSide-Side-Side (SSS)  \nIf three sides of one triangle are congruent to three corresponding sides  \nof a second triangle, then the triangles are congruent.  \n1. AB 􀀣 DE  \n2. BC  􀀣 EF   􀀧ABC 􀀣 􀀧 DEF  \n3. AC 􀀣 DF  \n[http://www.youtube.com/watch?v=o009kN8bCC8](http://www.youtube.com/watch?v=o009kN8bCC8)  \nThe angle between two sides  \n􀂑 G 􀂑 I 􀂑 H  \nIncluded Angle  \nIncluded Angle  \nThe included angle is the angle with the letter that both sides share  \nE  \nY S  \nName the included angle:  \nYE and  ES ES and  YS YS and YE  \n􀂑 E  \n􀂑 S  \n􀂑 Y","cbCairVFeoFPk8ek","https://ap.wps.com/l/cbCairVFeoFPk8ek","pdf",3296103,32,"English","# Triangle Congruence Basics\n## Congruency Statements and Corresponding Parts\n# Proving Congruence Shortcuts\n## Side-Side-Side (SSS) Postulate\n## Included Angles in Triangles","[{\"question\":\"What is the requirement for two triangles to be considered congruent?\",\"answer\":\"In order for two triangles to be congruent, all their corresponding angles and sides must be congruent.\"},{\"question\":\"What are the shortcuts mentioned for proving triangle congruence?\",\"answer\":\"The shortcuts for proving triangle congruence are SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), and AAS (Angle-Angle-Side).\"},{\"question\":\"How is an included angle defined?\",\"answer\":\"An included angle is the angle formed by two sides of a triangle, specifically the angle corresponding to the common letter shared by those two sides.\"}]","Days 5 and 6 Triangle Congruence - SAS, SSS, ASA, AAS | PDF",1790273339,81]