[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523046-105":59,"doc-detail-523046-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-lines-parallel-geometry-practice-worksheet","Proving Lines Parallel - Geometry Practice Worksheet","","This geometry practice worksheet, generated by Kuta Software's Infinite Geometry program, focuses on the concepts of proving lines parallel. It provides students with a series of problems involving geometric angle relationships, requiring them to determine the specific angle measures or values of x that result in lines being parallel. The document includes structured exercises, practical examples with diagrammatic references, and critical thinking questions designed to deepen students' understanding of geometric intersection and parallel line theorems.",{"@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-lines-parallel-geometry-practice-worksheet/523046/",{"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-lines-parallel-geometry-practice-worksheet/523046.png","ImageObject",300,407,{"name":92,"@type":93},"Cart","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",16,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What is the purpose of this worksheet?","Question",{"text":113,"@type":114},"This worksheet is designed to help students practice identifying the conditions, such as specific angle measures or variable values, that make two given lines parallel.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How are the problems structured?",{"text":118,"@type":114},"The problems are divided into two main types: finding missing angle measures and solving for the variable x, followed by critical thinking questions that explore the properties of intersecting and parallel lines.",{"name":120,"@type":111,"acceptedAnswer":121},"What is an example of the critical thinking questions included?",{"text":122,"@type":114},"One question asks students to determine a value of x that would cause the two lines to intersect rather than remain parallel, and another explores whether a specific value for x is geometrically possible based on the resulting angle measures.","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},523046,1791526918,{"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},18829141979164,"https://eur-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Kuta Software-Infinite Geometry Name   \nProving Lines Parallel Date  Period   \nFind the measure of the indicated angle that makes lines u and v parallel.  \n1)  \n3)  \n5)  \n7)  \nu  \n130°  \n?  \nu  \nv  \n66°  \n2)  \n4)  \n6)  \n8)  \nu  \nu  \n80°  \n? v  \nu  \n?  \nv  \n81°  \nu  \n?  \n58° v  \n9)  \n10)  \nFind the value of x that makes lines u and v parallel.  \n11)  \n13)  \n15)  \nu  \n16x − 6  \nv  \n105° u  \nv  \nx + 112  \n12)  \n14)  \n16)  \nu  \n?  \n117°  \nv  \nu  \n12x − 4  \nv  \n10x + 10  \n19x − 4 u  \nv  \n110°  \nu  \n7x + 14  \n8x + 6 v  \nCritical thinking questions:  \n17) For question \\#16, find a value of x that makes lines u and v intersect.  \n18) Even if the lines in question \\#16 were not parallel, could x = 25? Why or why not?  \nKuta Software-Infinite Geometry Name   \nProving Lines Parallel Date  Period   \nFind the measure of the indicated angle that makes lines u and v parallel.  \n1)  \n3)  \n5)  \n7)  \nu  \n130°  \n130°  \n?  \nu  \nv  \n66°  \n66°  \n90°  \n53°  \n2)  \n4)  \n6)  \n8)  \nu  \n128°  \nu  \n80°  \n? v  \n100°  \nu  \n?  \nv  \n81°  \n81°  \nu  \n?  \n58° v  \n58°  \n9)  \n50° 10)  \nFind the value of x that makes lines u and v parallel.  \n11)  \n13)  \n6 12)  \n−7 14)  \n105° u  \nv  \nx + 112  \n15)  \n12 16)  \nu  \n?  \n117°  \nv  \n7  \n6  \nu  \n7x + 14  \n8x + 6 v  \n63°  \n8  \nCritical thinking questions:  \n17) For question \\#16, find a value of x that makes lines u and v intersect.  \nAny value other than 8. Ideally 0 ≤ x ≤ 10  \n18) Even if the lines in question \\#16 were not parallel, could x = 25? Why or why not?  \nNo, that would make the angles 189° and 206° .  \nCreate your own worksheets like this one with Infinite Geometry. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaijL5VgiFjhC1","https://ap.wps.com/l/cbCaijL5VgiFjhC1","pdf",42628,"English","# Proving Lines Parallel Exercises\n## Angle Measure Problems\n## X-Value Determination Problems\n## Critical Thinking Questions","[{\"question\":\"What is the purpose of this worksheet?\",\"answer\":\"This worksheet is designed to help students practice identifying the conditions, such as specific angle measures or variable values, that make two given lines parallel.\"},{\"question\":\"How are the problems structured?\",\"answer\":\"The problems are divided into two main types: finding missing angle measures and solving for the variable x, followed by critical thinking questions that explore the properties of intersecting and parallel lines.\"},{\"question\":\"What is an example of the critical thinking questions included?\",\"answer\":\"One question asks students to determine a value of x that would cause the two lines to intersect rather than remain parallel, and another explores whether a specific value for x is geometrically possible based on the resulting angle measures.\"}]","Proving Lines Parallel - Geometry Practice Worksheet | PDF",1791426436]