[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-386056-105":59,"doc-detail-386056-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","triangle-congruency-worksheet-1","Triangle Congruency Worksheet - 1","","Practice worksheet on triangle congruence using standard postulates. Students analyze multiple given pairs of triangles, deciding whether the triangles are congruent and identifying which congruency postulate applies. The tasks require writing congruency statements and, when needed, listing additional information such as reflexive properties, vertical angles, or segment midpoint/bisector facts to complete proofs. Worksheets include numbered problems and sections focused on applying SAS, ASA, AAS, SSS, and HL reasoning.",{"@graph":69,"@context":122},[70,84,105],{"@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/triangle-congruency-worksheet-1/386056/",{"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/triangle-congruency-worksheet-1/386056.png","ImageObject",300,407,{"name":92,"@type":93},"Aria Callaghan","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-05","2026-09-24",true,{"@type":102,"interactionType":103,"userInteractionCount":56},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you decide if a pair of triangles is congruent?","Question",{"text":112,"@type":113},"Determine whether corresponding sides and angles match according to a valid congruency postulate or additional given information.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which congruency postulates are used in the worksheet?",{"text":117,"@type":113},"The worksheet focuses on SSS, SAS, ASA, AAS, and HL.",{"name":119,"@type":110,"acceptedAnswer":120},"What extra information might be needed to complete a congruence proof?",{"text":121,"@type":113},"You may need facts such as vertical angles, reflexive properties, or midpoint/bisector information to satisfy the chosen postulate.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},386056,1790790797,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":56,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":52,"preview_page_count":4},962084926284,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Geometry (E) Name:    \nTriangle Congruency Period:    \nTriangle Congruence Worksheet \\#1  \nFor each pair of triangles, tell which postulates, if any, make the triangles congruent.  \n1. 􀀧ABC 􀀣 􀀧EFD  \nC  \nA  B  \n2. 􀀧ABC 􀀣 􀀧CDA  \n3. 􀀧ABC 􀀣 􀀧EDF   4. 􀀧ADC 􀀣 􀀧BDC  C F C  \nA  B D  E A D B  \n5. 􀀧MAD 􀀣 􀀧MBC   6. 􀀧ABE 􀀣 􀀧CDE    \nD C  \nC  \nA B  \nA M B  \n7. 􀀧BAP 􀀣 􀀧BCP   8. 􀀧SAT 􀀣 􀀧SAR    \nGiven: BD bisects ABC  \nA  \nTriangle Congruence Worksheet \\#2  \nFor each pair of triangles, Determine the congruent triangles and tell which postulates, if any, make the triangles congruent.  \n1. 􀀧   􀀣 􀀧   because   2.  \nC  \nD  \nC  \nB  \n3.   􀀣   because    \nA  \nD  \n______________  \nTriangle Congruence Worksheet \\#3  \nII. For each pair of triangles,(a) Are they congruent? (b) If so, write the triangle congruency statement.  \n(c) Give the postulate (SSS, SAS, ASA, AAS, HL) that makes them congruent. (d) List any additional information needed to prove them congruent (vertical angles, reflexive property, etc) .  \n\n| 1. D\u003Cbr>\u003Cbr>A\u003Cbr>| 2.\u003Cbr>a.  \u003Cbr>b. 􀀧   􀀣 􀀧  \u003Cbr>c.  \u003Cbr>d.  \u003Cbr>L\u003Cbr>O\u003Cbr>V\u003Cbr>E\u003Cbr>| 3. Given: T is the midpoint of WR |  |  |\n| --- | --- | --- | --- | --- |\n|  |  | A\u003Cbr>W | | E\u003Cbr>R |\n| a.  \u003Cbr>b. 􀀧   􀀣 􀀧  \u003Cbr>c.  \u003Cbr>d.   |  | a.  \u003Cbr>b. 􀀧   􀀣 􀀧  \u003Cbr>c.  \u003Cbr>d.   |  |  |\n| 4.\u003Cbr>\u003Cbr>a.  \u003Cbr>b. 􀀧   􀀣 􀀧  \u003Cbr>c.  \u003Cbr>d.   | 5. Given: IH Bisects WIS\u003Cbr>I\u003Cbr>W  SH\u003Cbr>a.  \u003Cbr>b. 􀀧   􀀣 􀀧  \u003Cbr>c.  \u003Cbr>d.  \u003Cbr>| 6. L U\u003Cbr>\u003Cbr>G E\u003Cbr>a.  \u003Cbr>b. 􀀧   􀀣 􀀧  \u003Cbr>c.  \u003Cbr>d.   |  |  |\n| 7.\u003Cbr>\u003Cbr>a.  \u003Cbr>b. 􀀧   􀀣 􀀧  \u003Cbr>c.  \u003Cbr>d.   | 8.\u003Cbr>\u003Cbr>a.  \u003Cbr>b. 􀀧   􀀣 􀀧  \u003Cbr>c.  \u003Cbr>d.   | 9.\u003Cbr>\u003Cbr>a.  \u003Cbr>b. 􀀧   􀀣 􀀧  \u003Cbr>c.  \u003Cbr>d.   |  |  |\n\n10. Given: I is the midpoint of ME and SL  \nM L  \nS E  \na.    \nb. 􀀧   􀀣 􀀧    \nc.    \nd.    \n11.  \na.    \nb. 􀀧   􀀣 􀀧    \nc.    \nd.    \n12.  \nC F  \nA B D E  \na.    \nb. 􀀧   􀀣 􀀧    \nc.    \nd.    \nIII. To prove the triangles congruent by the given congruency postulate, determine what additional piece of information would be needed.  \n\n| 1. SAS |  | 2. ASA |  |  |  | 3. SSS |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| | B\u003Cbr>C | C\u003Cbr>A\u003Cbr>B\u003Cbr>D\u003Cbr>E\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>|  |  | \u003Cbr>F\u003Cbr>| B |  |  |\n|  |  |  |  |  |  | A | | C |\n|  |  |  |  |  |  | D |  |  |\n|   􀀣   |  |   􀀣   |  |  |  |   􀀣   |  |  |\n| 4. AAS\u003Cbr>\u003Cbr>  􀀣   |  | 5. HL\u003Cbr>P |  |  |  | 6. ASA\u003Cbr>\u003Cbr>  􀀣   |  |  |\n|  |  | R | | Q |  |  |  |  |\n|  |  |   􀀣   |  |  |  |  |  |  |","cbCaiewURWyFzprn","https://ap.wps.com/l/cbCaiewURWyFzprn","pdf",439501,"English","# Triangle Congruency Worksheet #1\n# Triangle Congruency Worksheet #2\n# Triangle Congruency Worksheet #3\n## Are the triangles congruent?\n## Proving congruence using given postulates","[{\"question\":\"How do you decide if a pair of triangles is congruent?\",\"answer\":\"Determine whether corresponding sides and angles match according to a valid congruency postulate or additional given information.\"},{\"question\":\"Which congruency postulates are used in the worksheet?\",\"answer\":\"The worksheet focuses on SSS, SAS, ASA, AAS, and HL.\"},{\"question\":\"What extra information might be needed to complete a congruence proof?\",\"answer\":\"You may need facts such as vertical angles, reflexive properties, or midpoint/bisector information to satisfy the chosen postulate.\"}]","Triangle Congruency Worksheet - 1 | PDF",1790271943]