[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523106-105":59,"doc-detail-523106-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","similar-triangles-similarity-statements-and-missing-lengths","Similar Triangles - Similarity Statements and Missing Lengths","","Geometry worksheet on similar triangles, asking students to determine whether triangle pairs are similar, justify similarity using criteria such as SSS, SAS, or AA, and complete each required similarity statement. Includes problems to find missing side lengths when triangles are similar, plus a section to solve for x in similar-triangle setups. Organized as numbered items with given side or angle measures and corresponding triangle diagrams for comparison.",{"@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/similar-triangles-similarity-statements-and-missing-lengths/523106/",{"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/similar-triangles-similarity-statements-and-missing-lengths/523106.png","ImageObject",300,407,{"name":92,"@type":93},"McQueen","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you determine whether a pair of triangles is similar?","Question",{"text":112,"@type":113},"The worksheet directs students to state whether the triangles are similar and explain how they know, typically using similarity criteria such as SSS, SAS, or AA.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What do you do when the triangles are similar in this worksheet?",{"text":117,"@type":113},"When triangles are similar, the worksheet asks to complete the similarity statement using the correct vertex correspondence.",{"name":119,"@type":110,"acceptedAnswer":120},"What types of problems appear besides similarity statements?",{"text":121,"@type":113},"It also includes questions to find missing side lengths and to solve for x based on the similarity relationships shown in the diagrams.","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},523106,1791497251,{"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":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":29,"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":144,"preview_page_count":4},5909890329169,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Kuta Software-Infinite Geometry Name   \nSimilar Triangles Date  Period   \nState if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.  \n1)  \n3)  \n5)  \n\n| 16\u003Cbr>39 |  |  |  |\n| --- | --- | --- | --- |\n|  | U\u003Cbr>40 |  | 16 |\n\nD  \nS  \nE  \nT  \n∆UTS ~    \nT  \n14  \nM ~~   ~~  \n 8 V 28 UL  \n49  \n∆VUT ~    \nU T  \nS  \nC B  \n∆STU ~    \n2)  \n4)  \n6)  \n7)  \n9)  \nU  \nV 42 T  \nQ  25   \n15  \n30  \nS  \n∆TUV ~    \nS  \nR  \nG  \n∆HGF ~    \n11)  \n143  \n91  \n121  \nF  \nE  \nD  \n44  \nR  \n∆FED ~    \n8)  \nB  \nC  \nF  \nE  \nG  \n∆EFG ~    \n10)  \n12)  \nW V  \n42  \nG   H  \n21 76°  \nF  \n∆FGH ~    \nT  \n9 E   C  \nD  \nV  \n30  \nU  \n∆TUV ~    \nFind the missing length. The triangles in each pair are similar.  \n13)  \nR  \nQ  \nL  \nK  \nP  \n15)  \nT  \n18 C 6 U  \n12  \nSolve for x. The triangles in each pair are similar.  \n17) 11x − 4  \nS   R  \n70  \nT  \nB  \n60  \nD C  \n50  \n19)  \n72  \nJ  \n27  \nT  \nK  \nL  \n14)  \n16)  \n18)  \n20)  \nKuta Software-Infinite Geometry Name   \nSimilar Triangles Date  Period   \nState if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.  \n1)  \n3)  \n5)  \n\n| 16\u003Cbr>39 |  |  |  |\n| --- | --- | --- | --- |\n|  | U\u003Cbr>40 |  | 16 |\n\nD  \nS  \nE  \nT  \n∆UTS ~    \nT  \n14  \nM ~~   ~~  \n 8 V 28 UL  \n49  \n∆VUT ~    \nnot similar 2)  \nC  \nA  \n72  \nB  \n12  \nG  \nH  \nsimilar; SSS similarity; ∆FGH  \nF  \n∆CBA ~    \nsimilar; SAS similart)y; ∆VLM  \nV  \nU  \nJ  \nT  \nsimilar; AA similarity; ∆TUV  \nL K  \n∆JKL ~    \nU T  \nS  \nC B  \n∆STU ~    \nnot similar 6)  \nK  \n25  \n∆KLM ~  \nC 107  \nM  \nnot similar  \n7)  \nV  \nQ  \n15  \nS  \nsimilar; SSS similarity; ∆QRS8)  \nnot similar  \n∆EFG ~    \n9)  \n∆TUV ~    \nS  \nG  \n∆HGF ~    \nsimilar; AA similarity; ∆H10T)S  \nU  \n76° 9  \n18  \nW  \nV  \n42  \nG   H  \n21 76°  \nF  \nsimilar; SAS similarity; ∆UV  \n11)  \n143  \n91  \n121  \nF  \nE  \nD  \n44  \nR  \n∆FED ~    \n∆FGH ~  similar; SSS si1m2i)larity; ∆FRS  \n9  \nE   C  \n10  \nT  \nU  \n∆TUV ~    \nsimilar; SAS similarity; ∆CDE  \nFind the missing length. The triangles in each pair are similar.  \n13)  \n15)  \nR  \nQ  \nT  \nL  \nK  \n22 14)  \n42  \n35°  \nP 33  \nS  \n18 C 6 U  \n9  \n16)  \n12  \nSolve for x. The triangles in each pair are similar.  \n17)  \n60  \nB  \n11x − 4  \n70  \nR  \nS  \nT  \n8 18)  \nD C  \n50  \n19) 7 20)  \n64  \n72  \nJ  \n27  \nT  \n−4 + 4x U   K  \n96  \n36  \nL  \nK  \n60  \n?  \nV  \nU  \nT  \nL  \n54  \nM  \n11  \nC  \n9  \nA  \n77  \n11x + 11 B  \nD  \n30  \nE  \n21  \nF  \n18  \n24  \nU  \nS  \nT  \nU  \n11  \nW  \nCreate your own worksheets like this one with Infinite Geometry. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaieXDCkXLPbN6","https://ap.wps.com/l/cbCaieXDCkXLPbN6","pdf",49464,"English","# State Similarity\n## Identify similarity and complete statements\n# Find Missing Lengths\n## Similar triangle side lengths\n# Solve for x\n## Similar triangle equations","[{\"question\":\"How do you determine whether a pair of triangles is similar?\",\"answer\":\"The worksheet directs students to state whether the triangles are similar and explain how they know, typically using similarity criteria such as SSS, SAS, or AA.\"},{\"question\":\"What do you do when the triangles are similar in this worksheet?\",\"answer\":\"When triangles are similar, the worksheet asks to complete the similarity statement using the correct vertex correspondence.\"},{\"question\":\"What types of problems appear besides similarity statements?\",\"answer\":\"It also includes questions to find missing side lengths and to solve for x based on the similarity relationships shown in the diagrams.\"}]","Similar Triangles - Similarity Statements and Missing Lengths | PDF",1791426501,15]