[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523112-105":59,"doc-detail-523112-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","using-similar-polygons-worksheet","Using Similar Polygons - Worksheet","","This worksheet from Kuta Software Infinite Geometry is designed for students to practice identifying and calculating the properties of similar polygons. The document features a series of geometry problems that require students to find missing side lengths and solve for variable expressions using given scale factors between two similar polygons. These exercises cover fundamental geometric ratios and algebraic applications in similarity. The content provides structured practice for students learning to apply proportional reasoning to shapes, enhancing their understanding of geometric transformations and mathematical consistency in similar figures.",{"@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/using-similar-polygons-worksheet/523112/",{"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/using-similar-polygons-worksheet/523112.png","ImageObject",300,407,{"name":92,"@type":93},"McQueen","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-09","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 find a missing side length given a scale factor?","Question",{"text":112,"@type":113},"To find a missing side, multiply the known side length of the corresponding polygon by the ratio provided by the scale factor.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the goal of the exercises involving variables?",{"text":117,"@type":113},"The goal is to solve for the unknown variable x by setting up a proportion based on the similarity of the two given polygons and their respective scale factor.",{"name":119,"@type":110,"acceptedAnswer":120},"What information is provided for each pair of polygons?",{"text":121,"@type":113},"Each pair includes the similarity relationship and a specified scale factor from polygon A to polygon B, along with at least one known dimension or variable expression.","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},523112,1791505485,{"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":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},5909890329169,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Kuta Software-Infinite Geometry Name   \nUsing Similar Polygons Date  Period   \nThe polygons in each pair are similar. Find the missing side length.  \n1)  \n15  \n2)  \n12  \n15  \n?  \n24  \n24  \n3)  \n7  \n5)  \n7)  \nscale factor from A to B = 2 : 7  \nscale factor from A to B = 5 : 6  \n11)    \n9 ?  \n B  A   \nscale factor from A to B = 2 : 3  \n4)  \n6)  \n8)  \n12  \n56  \n B 12  A ?  \nscale factor from A to B = 2 : 3  \n10)  \n12)  \nscale factor from A to B = 1 : 7  \nscale factor from A to B = 1 : 2  \nscale factor from A to B = 6 : 7  \nSolve for x. The polygons in each pair are similar.  \n15)  \n14)  \n16)  \nscale factor from A to B = 1 : 3  \n17)  \n18)  \n42  \n45  \n40  \n2x + 4  \n16  \n19)  \nscale factor from A to B = 5 : 6  \n20)  \n30  \nA  \n3x  \nB  \n21)  \n8x − 7 B  \n14 A  \nscale factor from A to B = 2 : 7  \n22)  \nscale factor from A to B = 5 : 6  \nscale factor from A to B = 6 : 7  \nKuta Software-Infinite Geometry Name   \nUsing Similar Polygons Date  Period   \nThe polygons in each pair are similar. Find the missing side length.  \n1)  \n3)  \n5)  \n7)  \n9)  \n2)  \n4)  \n6)  \n8)  \n20  \n10  \n30  \n B 12  A ?  \nscale factor from A to B = 2 : 3 8  \n10)  \n7  \n A   \nscale factor from A to B = 1 : 7 49  \nscale factor from A to B = 5 : 6 25  \n11)   12)  \nB   ?  A  ?  6   \n A B  \nscale factor from A to B = 2 : 3    \n6  \nscale factor from A to B = 1 : 2  \n3  \n9  \nscale factor from A to B = 6 : 7  \n30  \nSolve for x. The polygons in each pair are similar.  \n15)  \n49  \n14)  \n16)  \nscale factor from A to B = 1 : 3 9  \n49  \n11  \n63  \n36  \n27  \n17)  \n19)  \n21)  \n7  \n63  \n10  \n18)  \n42  \n20)  \nscale factor from A to B = 5 : 6 8  \n8x − 7 B  \n14 A  \nscale factor from A to B = 2 : 7 7  \n22)  \n45  \n407  \n30  \nA  \n3x  \nB  \nscale factor from A to B = 5 : 6 12  \nscale factor from A to B = 6 : 7 7  \nCreate your own worksheets like this one with Infinite Geometry. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCais28RqwC7A2K","https://ap.wps.com/l/cbCais28RqwC7A2K","pdf",37441,"English","# Finding Missing Side Lengths\n## Scale Factor Applications\n# Solving for Variables\n## Algebraic Expressions in Geometry","[{\"question\":\"How do you find a missing side length given a scale factor?\",\"answer\":\"To find a missing side, multiply the known side length of the corresponding polygon by the ratio provided by the scale factor.\"},{\"question\":\"What is the goal of the exercises involving variables?\",\"answer\":\"The goal is to solve for the unknown variable x by setting up a proportion based on the similarity of the two given polygons and their respective scale factor.\"},{\"question\":\"What information is provided for each pair of polygons?\",\"answer\":\"Each pair includes the similarity relationship and a specified scale factor from polygon A to polygon B, along with at least one known dimension or variable expression.\"}]","Using Similar Polygons - Worksheet | PDF",1791426507]