{"id":516,"date":"2022-04-16T09:20:19","date_gmt":"2022-04-16T09:20:19","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=516"},"modified":"2024-10-23T15:19:39","modified_gmt":"2024-10-23T15:19:39","slug":"r-12parallel-perpendicular-and-intersecting-lines","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/r-12parallel-perpendicular-and-intersecting-lines\/","title":{"rendered":"R.12 Parallel, perpendicular and intersecting lines"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Parallel, perpendicular and intersecting lines<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\"><strong>Key notes:<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h3 class=\"wp-block-heading has-text-color\" style=\"color:#000060\">1. <strong>Definitions<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Parallel Lines<\/strong>: Two lines that are always the same distance apart and never meet, no matter how far they are extended. They have the same slope.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-3-1024x1024.png\" alt=\"\" class=\"wp-image-14554\" style=\"aspect-ratio:1;width:228px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-3-1024x1024.png 1024w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-3-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-3-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-3-768x768.png 768w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-3-400x400.png 400w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-3-1536x1536.png 1536w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-3.png 1563w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<ul class=\"wp-block-list\">\n<li><strong>Perpendicular Lines<\/strong>: Two lines that intersect at a right angle (90 degrees). The slopes of perpendicular lines are negative reciprocals of each other.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-4-1024x1024.png\" alt=\"\" class=\"wp-image-14557\" style=\"aspect-ratio:1;width:304px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-4-1024x1024.png 1024w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-4-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-4-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-4-768x768.png 768w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-4-400x400.png 400w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-4-1536x1536.png 1536w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-4.png 1563w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Intersecting Lines<\/strong>: Two lines that cross each other at any angle. They meet at a point called the point of intersection.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-5-1024x1024.png\" alt=\"\" class=\"wp-image-14559\" style=\"aspect-ratio:1;width:254px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-5-1024x1024.png 1024w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-5-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-5-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-5-768x768.png 768w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-5-400x400.png 400w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-5-1536x1536.png 1536w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2024\/10\/Untitled-design-5.png 1563w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading has-primary-color has-text-color\">2. <strong>Properties<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Parallel Lines<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Symbol: || (e.g., line A || line B)<\/li>\n\n\n\n<li>Example: Rails of a train track.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Perpendicular Lines<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Symbol: \u22a5 (e.g., line A \u22a5 line B)<\/li>\n\n\n\n<li>Form right angles at the point of intersection.<\/li>\n\n\n\n<li>Example: The corner of a square or rectangle.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Intersecting Lines<\/strong>:\n<ul class=\"wp-block-list\">\n<li>Can form various angles.<\/li>\n\n\n\n<li>Example: The intersection of two roads.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading has-primary-color has-text-color\">3. <strong>Identifying Lines<\/strong><\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Use a ruler to draw and identify the types of lines:\n<ul class=\"wp-block-list\">\n<li>For <strong>parallel lines<\/strong>, ensure they are equidistant.<\/li>\n\n\n\n<li>For <strong>perpendicular lines<\/strong>, use a protractor to check for a 90-degree angle.<\/li>\n\n\n\n<li>For <strong>intersecting lines<\/strong>, simply draw two lines that cross.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#dfcbfd\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udce2 <strong>Are these lines perpendicular?<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-18.png\" alt=\"\" class=\"wp-image-4853\" style=\"aspect-ratio:1;width:354px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-18.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-18-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-18-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-18-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Look at this figure:<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__18_-removebg-preview.png\" alt=\"\" class=\"wp-image-4854\" style=\"aspect-ratio:1;width:392px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__18_-removebg-preview.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__18_-removebg-preview-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__18_-removebg-preview-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__18_-removebg-preview-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>These lines are not perpendicular. They intersect but do not make square corners.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f8ccf0\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udce2<strong> Are these lines parallel?<\/strong><\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-14.png\" alt=\"\" class=\"wp-image-4855\" style=\"aspect-ratio:1;width:326px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-14.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-14-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-14-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-14-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Look at this figure:<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design-removebg-preview-12.png\" alt=\"\" class=\"wp-image-4856\" style=\"aspect-ratio:1;width:310px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design-removebg-preview-12.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design-removebg-preview-12-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design-removebg-preview-12-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design-removebg-preview-12-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>These lines are not parallel. They intersect at one point.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f5f3d8\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\ud83d\udce2<strong> Are these lines perpendicular?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-1-4.png\" alt=\"\" class=\"wp-image-4857\" style=\"aspect-ratio:1;width:310px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-1-4.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-1-4-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-1-4-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-design-1-4-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>Look at this figure:<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-9.png\" alt=\"\" class=\"wp-image-4858\" style=\"aspect-ratio:1;width:324px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-9.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-9-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-9-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled_design__1_-removebg-preview-9-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>These lines are not perpendicular. They intersect but do not make square corners.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/78189\/775\/276\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-95.png\" alt=\"\" class=\"wp-image-6774\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-95.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-95-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-95-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-95-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/79936\/059\/850\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-96.png\" alt=\"\" class=\"wp-image-6775\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-96.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-96-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-96-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-96-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Parallel, perpendicular and intersecting lines Key notes: 1. Definitions 2. Properties 3. Identifying Lines Learn with an example \ud83d\udce2 Are these lines perpendicular? Look at this figure: These lines are not perpendicular. They intersect but do not make square corners. \ud83d\udce2 Are these lines parallel? Look at this figure: These lines are not parallel. They<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/r-12parallel-perpendicular-and-intersecting-lines\/\">Continue reading <span class=\"screen-reader-text\">&#8220;R.12 Parallel, perpendicular and intersecting lines&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"footnotes":""},"class_list":["post-516","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/516","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=516"}],"version-history":[{"count":16,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/516\/revisions"}],"predecessor-version":[{"id":14560,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/516\/revisions\/14560"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=516"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}