{"id":228,"date":"2022-04-13T10:23:46","date_gmt":"2022-04-13T10:23:46","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=228"},"modified":"2025-01-31T09:54:29","modified_gmt":"2025-01-31T09:54:29","slug":"l-3-additive-property-of-length","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/l-3-additive-property-of-length\/","title":{"rendered":"L.3 Additive property of length"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Additive property of length<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-8550df6181cd5d83aa7a08ef336a4ca1\" style=\"color:#74008b\">Key Notes :<\/p>\n\n\n\n<p class=\"has-large-font-size\">The&nbsp;<strong>Additive Property of Length<\/strong>&nbsp;states that if&nbsp;<em>Y<\/em>&nbsp;is between&nbsp;<em>X<\/em>&nbsp;and&nbsp;<em>Z<\/em>, then&nbsp;<em>XY<\/em>&nbsp;+&nbsp;<em>YZ<\/em>&nbsp;=&nbsp;<em>XZ<\/em>.<\/p>\n\n\n\n<p class=\"has-large-font-size\"><strong>Introduction:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>The concept of the additive property of length is fundamental in geometry and mathematics.<\/li>\n\n\n\n<li>It refers to the idea that the total length of a combination of line segments is equal to the sum of the lengths of the individual segments.<\/li>\n\n\n\n<li>This property plays a crucial role in solving various geometric problems and real-world applications.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-large-font-size\"><strong>Explanation of the Additive Property:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list has-large-font-size\">\n<li>Let&#8217;s consider two line segments, AB and BC, where point B is common to both.<\/li>\n\n\n\n<li>According to the additive property of length, the length of the entire segment AC is equal to the sum of the lengths of AB and BC, denoted as AC = AB + BC.<\/li>\n\n\n\n<li>This principle can be extended to more than two line segments, emphasizing that the total length is the sum of all individual lengths.<\/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 has-large-font-size\" style=\"background-color:#f8dfe4\"><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 has-link-color wp-elements-79ea1f8334cbe29c39005ef5f7d3a069\" style=\"color:#b00012\"><strong>1) If&nbsp;<em>JK<\/em>&nbsp;= 18&nbsp;and&nbsp;<em>KL<\/em>&nbsp;= 8, what is&nbsp;<em>JL<\/em>?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"811\" height=\"110\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-15.png\" alt=\"\" class=\"wp-image-9952\" style=\"width:523px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-15.png 811w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-15-300x41.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-15-768x104.png 768w\" sizes=\"auto, (max-width: 811px) 100vw, 811px\" \/><\/figure>\n\n\n\n<p><em>Write your answer as a decimal or integer.<\/em>   __________<\/p>\n<\/div><\/div>\n\n\n\n<p>Use the diagram to write an equation and solve for&nbsp;JL.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"811\" height=\"110\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T151245.869.png\" alt=\"\" class=\"wp-image-10875\" style=\"width:715px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T151245.869.png 811w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T151245.869-300x41.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T151245.869-768x104.png 768w\" sizes=\"auto, (max-width: 811px) 100vw, 811px\" \/><\/figure>\n\n\n\n<p>JL = JK + KL     Additive Property of Length<\/p>\n\n\n\n<p>JL = 18 + 8        Plug in&nbsp;JK&nbsp;= 18&nbsp;and&nbsp;KL&nbsp;= 8<\/p>\n\n\n\n<p>JL = 26             Add<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#c8def0\"><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 has-link-color wp-elements-5e1b01ce88b0161b192dcea151fb6350\" style=\"color:#b00012\"><strong>2) If&nbsp;<em>CD<\/em>&nbsp;= 15&nbsp;and&nbsp;<em>DE<\/em>&nbsp;= 6, what is&nbsp;<em>CE<\/em>?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"757\" height=\"99\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-18.png\" alt=\"\" class=\"wp-image-9958\" style=\"aspect-ratio:7.646464646464646;width:530px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-18.png 757w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-18-300x39.png 300w\" sizes=\"auto, (max-width: 757px) 100vw, 757px\" \/><\/figure>\n\n\n\n<p><em>Write your answer as a decimal or integer.<\/em> ___________<\/p>\n<\/div><\/div>\n\n\n\n<p>Use the diagram to write an equation and solve for&nbsp;CE.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"757\" height=\"99\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T151647.472.png\" alt=\"\" class=\"wp-image-10876\" style=\"width:665px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T151647.472.png 757w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T151647.472-300x39.png 300w\" sizes=\"auto, (max-width: 757px) 100vw, 757px\" \/><\/figure>\n\n\n\n<p>CE = CD + DE     Additive Property of Length<\/p>\n\n\n\n<p>CE= 15 + 6        Plug in&nbsp;CD&nbsp;= 15&nbsp;and&nbsp; DE&nbsp;= 6<\/p>\n\n\n\n<p>CE= 21             Add<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f1eaea\"><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 has-link-color wp-elements-a930e3f690741628f71960222fdbdb9a\" style=\"color:#b00012\"><strong>3) If&nbsp;<em>DE<\/em>&nbsp;= 7&nbsp;and&nbsp; <em>EF<\/em>&nbsp;= 11, what is&nbsp;<em>DF<\/em>?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"784\" height=\"96\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-20.png\" alt=\"\" class=\"wp-image-9960\" style=\"width:506px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-20.png 784w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-20-300x37.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-20-768x94.png 768w\" sizes=\"auto, (max-width: 784px) 100vw, 784px\" \/><\/figure>\n\n\n\n<p><em>Write your answer as a decimal or integer.<\/em> _________<\/p>\n<\/div><\/div>\n\n\n\n<p>Use the diagram to write an equation and solve for&nbsp;DF.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"784\" height=\"96\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T152226.735.png\" alt=\"\" class=\"wp-image-10877\" style=\"width:751px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T152226.735.png 784w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T152226.735-300x37.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T152226.735-768x94.png 768w\" sizes=\"auto, (max-width: 784px) 100vw, 784px\" \/><\/figure>\n\n\n\n<p>DF = DE + EF     Additive Property of Length<\/p>\n\n\n\n<p>DF = 7 + 11        Plug in&nbsp;DE&nbsp;= 7&nbsp;and&nbsp; EF&nbsp;= 11<\/p>\n\n\n\n<p>DF =  18             Add<\/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!<\/strong><\/p>\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\/85886\/906\/348\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-67.png\" alt=\"\" class=\"wp-image-7027\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-67.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-67-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-67-150x150.png 150w\" 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\/37926\/753\/623\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-85.png\" alt=\"\" class=\"wp-image-7028\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-85.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-85-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-85-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Additive property of length Key Notes : The&nbsp;Additive Property of Length&nbsp;states that if&nbsp;Y&nbsp;is between&nbsp;X&nbsp;and&nbsp;Z, then&nbsp;XY&nbsp;+&nbsp;YZ&nbsp;=&nbsp;XZ. Introduction: Explanation of the Additive Property: Learn with an example 1) If&nbsp;JK&nbsp;= 18&nbsp;and&nbsp;KL&nbsp;= 8, what is&nbsp;JL? Write your answer as a decimal or integer. __________ Use the diagram to write an equation and solve for&nbsp;JL. JL = JK + KL<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/l-3-additive-property-of-length\/\">Continue reading <span class=\"screen-reader-text\">&#8220;L.3 Additive property of length&#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,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-228","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/228","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=228"}],"version-history":[{"count":14,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/228\/revisions"}],"predecessor-version":[{"id":17491,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/228\/revisions\/17491"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=228"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}