[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-435323-105":59,"doc-detail-435323-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","parallel-and-perpendicular-lines-practice-worksheet","Parallel and Perpendicular Lines - Practice Worksheet","","Practice worksheet focused on parallel and perpendicular lines using slope relationships. It explains that parallel lines share the same slope while perpendicular lines have slopes that are negative reciprocals whose product is -1. The material provides a quick method to find a perpendicular slope by flipping the fraction and changing its sign, followed by step-by-step worked examples and an answer key covering multiple numbered problems and word problems.",{"@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/parallel-and-perpendicular-lines-practice-worksheet/435323/",{"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/parallel-and-perpendicular-lines-practice-worksheet/435323.png","ImageObject",300,407,{"name":92,"@type":93},"noah","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-22","2026-09-29",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How do you determine whether two lines are parallel using slopes?","Question",{"text":113,"@type":114},"Two lines are parallel when they have the same slope.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What slope relationship makes two lines perpendicular?",{"text":118,"@type":114},"Two lines are perpendicular when their slopes are negative reciprocals, meaning the product of the slopes is -1.",{"name":120,"@type":111,"acceptedAnswer":121},"What is the quickest method to find a perpendicular slope from a given slope?",{"text":122,"@type":114},"Flip the fraction of the slope and then change its sign to get the perpendicular slope.","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},435323,1790716940,{"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":81,"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":39},1099529839121,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Practice 􀀏 Progress 􀀏 Succeed | PERT Math  \n~~ ~~  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \nParallel and Perpendicular Lines  \n\n| Name:   | D | ate:   | S | core:   / 18 |\n| --- | --- | --- | --- | --- |\n\nQuick Review and Helpful Hints  \nTwo lines are parallel when they have the same slope. They are perpendicular when their slopes are negative reciprocals (the product of the slopes is 􀀀1) . To get a perpendicular slope, 􀀃ip the fraction and change its sign.  \n▷ Example: A line has slope 2. Find the slope of a line (a) parallel and (b) perpendicular to it. Work: Parallel keeps the same slope: 2.  \nPerpendicular 􀀃ips and negates: 􀀀 12 . ⋆ Answer: 2 and 􀀀 12  \nParallel: same slope. Perpendicular: 􀀃ip & negate.  \n♦ Word Problems  \n15. A road has slope 34 . A road parallel to it has what slope?  \n16. A wall is perpendicular to a ramp of slope 25 . What is the wall’s slope?  \n17. Line a is y = 12x + 4 . Give the slope of any line perpendicular to it.  \n18. Are the lines y = 􀀀 x + 6 and y = x 􀀀 2 perpendicular?  \n[E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n1  \nScan Me  \nPractice 􀀏 Progress 􀀏 Succeed | PERT Math  \n~~ ~~  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \nAnswer Keys  \nStep-by-Step Explanations  \n1. Start by naming the process: Parallel lines keep the same slope; perpendicular lines use the opposite reciprocal slope. The setup/work is Parallel lines share the slope: 3. So the 􀀂nal answer is 3.  \n2. A good way to think about this is: Parallel lines keep the same slope; perpendicular lines use the opposite reciprocal slope. The setup/work is Flip and negate 3 = 31 : 􀀀 13 . So the 􀀂nal answer is 􀀀 13 .  \n3. Step by step: Parallel lines keep the same slope; perpendicular lines use the opposite reciprocal slope. The setup/work is Parallel keeps the slope: 􀀀2 . So the 􀀂nal answer is 􀀀2 .  \n4. Take it one move at a time: Parallel lines keep the same slope; perpendicular lines use the opposite reciprocal slope. The setup/work is Flip and negate 􀀀2:  \n1 . So the 􀀂nal answer is 1 2 2 .  \n5. Start by naming the process: Parallel lines keep the same slope; perpendicular lines use the opposite reciprocal slope. The setup/work is Parallel keeps the slope: 14 . So the 􀀂nal answer is 14 .  \n6. A good way to think about this is: Parallel lines keep the same slope; perpendicular lines use the opposite reciprocal slope. The setup/work is Flip and negate 14 : 􀀀4 . So the 􀀂nal answer is 􀀀4 .  \n7. Step by step: Parallel lines keep the same slope; perpendicular lines use the opposite reciprocal slope. The setup/work is Flip and negate 1: 􀀀1 . So the  \n􀀂nal answer is 􀀀1 .  \n8. Take it one move at a time: Parallel lines keep the same slope; perpendicular lines use the opposite reciprocal slope. The setup/work is Flip and negate 􀀀 23 :  \n32 . So the 􀀂nal answer is 32 .  \n9. Start by naming the process: Parallel lines keep the same slope; perpendicular","cbCailCgzYiaGcpm","https://ap.wps.com/l/cbCailCgzYiaGcpm","pdf",107206,"English","# Quick Review and Helpful Hints\n## Word Problems\n# Answer Keys\n## Step-by-Step Explanations","[{\"question\":\"How do you determine whether two lines are parallel using slopes?\",\"answer\":\"Two lines are parallel when they have the same slope.\"},{\"question\":\"What slope relationship makes two lines perpendicular?\",\"answer\":\"Two lines are perpendicular when their slopes are negative reciprocals, meaning the product of the slopes is -1.\"},{\"question\":\"What is the quickest method to find a perpendicular slope from a given slope?\",\"answer\":\"Flip the fraction of the slope and then change its sign to get the perpendicular slope.\"}]","Parallel and Perpendicular Lines - Practice Worksheet | PDF",1790672985]