[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-366160-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-366160-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","triangle-congruence-theorems-asa-vs-aas-lesson-guide","Triangle Congruence Theorems - ASA vs AAS - Lesson Guide","","This educational lesson guide provides a comprehensive overview of triangle congruence theorems, specifically focusing on the distinction between Angle-Side-Angle (ASA) and Angle-Angle-Side (AAS) postulates. The content defines ASA as requiring one side congruent between two congruent angles, while AAS requires two consecutive congruent angles followed by a non-included congruent side. Designed for K-12 mathematics instruction, this guide includes clear visual aids and theorem summaries to facilitate student understanding and mastery of geometric proofs and congruence identification.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/triangle-congruence-theorems-asa-vs-aas-lesson-guide/366160/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/triangle-congruence-theorems-asa-vs-aas-lesson-guide/366160.png","ImageObject",300,407,{"name":42,"@type":43},"anakgang17","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-09","2026-09-23",true,{"@type":52,"interactionType":53,"userInteractionCount":30},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What defines the Angle-Side-Angle (ASA) congruence theorem?","Question",{"text":62,"@type":63},"The ASA theorem states that two triangles are congruent if they have two congruent angles and the side included between those angles is also congruent.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How does the Angle-Angle-Side (AAS) theorem differ from ASA?",{"text":67,"@type":63},"In the AAS theorem, the two congruent angles are consecutive, and the congruent side is not located between them, but rather follows the two angles.",{"name":69,"@type":60,"acceptedAnswer":70},"What is the purpose of this lesson guide?",{"text":71,"@type":63},"This guide is intended to accompany a video lesson on triangle congruence, helping students distinguish between ASA and AAS theorems through structured definitions and practice exercises.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},366160,1790164001,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":30,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":79,"read_time":110,"preview_page_count":4},962090883568,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Name:  \n____________________________________  \nLesson Guide  \nThis lesson guide accompanies the following video lesson:  \nTriangle Congruence Theorems: ASA vs . AAS  \nASA stands for  \n____________________________________  \nAAS stands for    \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 1  \nTheorem Review  \n> Angle-Side-Angle (ASA)  \nOne congruent side that is   two congruent angles.  \n> Angle-Angle-Side (AAS)  \nTwo congruent angles in a row (consecutive) and then a congruent side   to them.  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 2  \nConclusion  \nIn your own words, describe the key difference between ASA and AAS:  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 3","cbCaifKrpfBBBJuO","https://ap.wps.com/l/cbCaifKrpfBBBJuO","pdf",656148,"English","# Theorem Review\n## Angle-Side-Angle (ASA)\n## Angle-Angle-Side (AAS)\n# Conclusion","[{\"question\":\"What defines the Angle-Side-Angle (ASA) congruence theorem?\",\"answer\":\"The ASA theorem states that two triangles are congruent if they have two congruent angles and the side included between those angles is also congruent.\"},{\"question\":\"How does the Angle-Angle-Side (AAS) theorem differ from ASA?\",\"answer\":\"In the AAS theorem, the two congruent angles are consecutive, and the congruent side is not located between them, but rather follows the two angles.\"},{\"question\":\"What is the purpose of this lesson guide?\",\"answer\":\"This guide is intended to accompany a video lesson on triangle congruence, helping students distinguish between ASA and AAS theorems through structured definitions and practice exercises.\"}]","Triangle Congruence Theorems - ASA vs AAS - Lesson Guide | PDF"]