[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-386940-105":59,"doc-detail-386940-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","proving-congruent-triangles-worksheet","Proving Congruent Triangles - Worksheet","","This educational worksheet provides comprehensive practice for students to identify and apply geometric principles for proving triangle congruence. The document covers fundamental methods including SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg). Through various visual exercises, students are tasked with analyzing triangle diagrams to determine which congruence postulates apply, fostering a deeper understanding of geometric proofs and triangle properties.",{"@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/proving-congruent-triangles-worksheet/386940/",{"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/proving-congruent-triangles-worksheet/386940.png","ImageObject",300,407,{"name":92,"@type":93},"นรินทร์","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-09-24",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",33,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What are the primary methods for proving triangles congruent?","Question",{"text":113,"@type":114},"The primary methods include SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg) for right triangles.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"When should the HL method be used?",{"text":118,"@type":114},"The HL (Hypotenuse-Leg) method is specifically used for proving two right triangles are congruent when the hypotenuse and one leg of one triangle are congruent to those of another.",{"name":120,"@type":111,"acceptedAnswer":121},"What should a student do if none of the congruence methods apply to a given pair of triangles?",{"text":122,"@type":114},"If none of the standard methods like SSS, SAS, ASA, AAS, or HL can be applied to verify congruence, the student should indicate that none of these methods work, often by writing 'N' or 'None'.","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},386940,1790913925,{"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":19,"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":52,"preview_page_count":4},2336475104957,"https://ap-avatar.wpscdn.com/avatar/22000c4c6bd8a5076e1?x-image-process=image/resize,m_fixed,w_180,h_180&k=1787554080175789136","of another triangle=三△S.  \n1.  \n2.  \n3.  \n# Triangles\n\nWays To Prove Triangles Congruent  \nSSS(side,side,side)=three sides of one trianglecongruent to the corresponding parts of anothertriangle=△S.  \nSAS(side,angle,side)=two sides and the included angle of one  \ntriangle congruent to the corresponding parts  \nldentify which property will prove these triangles congruent (SSS,SAS ornone).  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \nTriangles  \n# More Ways To Prove Triangles Congruent\n\nASA(angle,side,angle)=two angles and theincluded side of one triangle congruent to thecorresponding parts of another triangle==△S.AAS(angle,angle,side)=two angles and thenon-included side of one triangle congruent to thecorresponding parts of another trilangle==△S.HL(hypotenuse,leg)=the hypotenuse  \nand a leg of one right triangle congruent to thecorresponding parts of another friangle→三△S.  \nldentify which property will prove these triangles congruent(ASA,AAS,or none).  \n6.  \n1.  \n2.  \n3.  \n8.  \n4.  \n10.  \n5.  \nGeometry IF876422◎MCMXCIV Instructional Fair,Inc.  \n# More Congruent Triangles\n\nldentify which property will prove these triangles congruent.(SSS,SAS,ASA,AAS,HL or none)  \n## Congruent Triangles &Similar Triangles\n\nPractice with Triangle Congruence Methods  \nState whether each pair of triangles is congruent by SSS,SAS,ASA,AAS or HL.if none of these methods work,write N.  \n3.  \n一、  \n2.  \n6.  \n5.  \n4  \n9.  \n8.  \n7.  \n12.  \n11.  \n14.  \n15.  \n13.","cbCaihc4WCsTiuiU","https://ap.wps.com/l/cbCaihc4WCsTiuiU","pdf",283727,"English","# Triangle Congruence Methods\n## SSS and SAS Postulates\n## ASA, AAS, and HL Postulates\n## Practice Exercises","[{\"question\":\"What are the primary methods for proving triangles congruent?\",\"answer\":\"The primary methods include SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg) for right triangles.\"},{\"question\":\"When should the HL method be used?\",\"answer\":\"The HL (Hypotenuse-Leg) method is specifically used for proving two right triangles are congruent when the hypotenuse and one leg of one triangle are congruent to those of another.\"},{\"question\":\"What should a student do if none of the congruence methods apply to a given pair of triangles?\",\"answer\":\"If none of the standard methods like SSS, SAS, ASA, AAS, or HL can be applied to verify congruence, the student should indicate that none of these methods work, often by writing 'N' or 'None'.\"}]","Proving Congruent Triangles - Worksheet | PDF",1790279298]