[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-386589-105":59,"doc-detail-386589-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","sss-asa-aas-triangle-congruence-notes-2019-study-guide","SSS, ASA, AAS Triangle Congruence Notes - 2019 Study Guide","","This document provides a comprehensive set of study notes on triangle congruence theorems, specifically covering Side-Side-Side (SSS), Angle-Side-Angle (ASA), and Angle-Angle-Side (AAS) criteria. It includes formal definitions and geometric theorems regarding congruent sides and angles in triangles, alongside the Third Angles Theorem. Additionally, the content outlines specific homework assignments and practice problems from sections 5.5, 5.6, and 5.7 of a textbook, serving as a clear and structured review aid for students.",{"@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/sss-asa-aas-triangle-congruence-notes-2019-study-guide/386589/",{"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/sss-asa-aas-triangle-congruence-notes-2019-study-guide/386589.png","ImageObject",300,407,{"name":92,"@type":93},"Fahsai","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-05","2026-09-24",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",15,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What does the SSS Congruence theorem state?","Question",{"text":113,"@type":114},"The SSS (Side-Side-Side) theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What is the requirement for ASA Congruence?",{"text":118,"@type":114},"ASA (Angle-Side-Angle) congruence requires two angles and the included side of one triangle to be congruent to two angles and the included side of another triangle.",{"name":120,"@type":111,"acceptedAnswer":121},"How is AAS Congruence different from ASA?",{"text":122,"@type":114},"AAS (Angle-Angle-Side) congruence involves two angles and a non-included side, whereas ASA specifically requires the side to be the one included between the two angles.","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},386589,1790693892,{"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":14,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":24,"preview_page_count":4},549768702563,"https://ap-avatar.wpscdn.com/avatar/8000c4aa63b76e948b?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786536092046926083","5.5 5.7 SSS, ASA, AAS Notes  \nTriangle Theorems  \nTheorem: If two sides of a triangle are congruent, then the angles opposite them are congruent.  \nTheorem: If two angles of a triangle are congruent, then the sides opposite them are congruent.  \n2.) Side Side Side (SSS) Congruence  \nIf 3 sides of one triangle are congruent to 3 sides of another triangle, then the triangles are congruent.  \nSide Angle  \nSide Angle  \nSide Angle  \nA  \nB  C  \nD  \nE F  \nThird Angles Theorem (Not for proofs!)  \nIf 2 angles of one triangle are congruent to 2 angles of another triangle, then the third angles are also congruent.  \n3.) Angle Side Angle (ASA) Congruence  \nIf 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.  \nSide Angle  \nSide Angle  \nSide Angle  \nA D  \nB C E F  \n4.) Angle Angle Side (AAS) Congruence  \nIf 2 angles and a non included side of one triangle are congruent to 2 angles and a non included side of another triangle, then the triangles  \nare congruent.  \nSide Angle  \nSide Angle  \nSide Angle  \nH  \nO L E  \n5.5 5.7 SSS, ASA, AAS Notes  \n5.5 5.7 Part 1 Combined (From sections 5.5,5.6)  \n5.5 p.266 \\#7 10,19  \n5.6 p.274 \\#3 6,10,12,15,16,24  \n5.5 5.7 Part 2 Combined (From sections 5.5 5.7)  \n5.5 p.267 \\#15  \n5.6 p.275 \\#17,33  \n5.7 p.282 \\#23","cbCaijyW9FKgUium","https://ap.wps.com/l/cbCaijyW9FKgUium","pdf",844379,"English","# Triangle Congruence Theorems\n## SSS Congruence\n## ASA Congruence\n## AAS Congruence\n## Third Angles Theorem\n# Practice Assignments\n## Part 1 Combined\n## Part 2 Combined","[{\"question\":\"What does the SSS Congruence theorem state?\",\"answer\":\"The SSS (Side-Side-Side) theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.\"},{\"question\":\"What is the requirement for ASA Congruence?\",\"answer\":\"ASA (Angle-Side-Angle) congruence requires two angles and the included side of one triangle to be congruent to two angles and the included side of another triangle.\"},{\"question\":\"How is AAS Congruence different from ASA?\",\"answer\":\"AAS (Angle-Angle-Side) congruence involves two angles and a non-included side, whereas ASA specifically requires the side to be the one included between the two angles.\"}]","SSS, ASA, AAS Triangle Congruence Notes - 2019 Study Guide | PDF",1790274877]