{"id":230,"date":"2022-04-13T10:24:04","date_gmt":"2022-04-13T10:24:04","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=230"},"modified":"2025-01-31T10:20:57","modified_gmt":"2025-01-31T10:20:57","slug":"l-4-midpoints","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/l-4-midpoints\/","title":{"rendered":"L.4 Midpoints"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"> <strong>Midpoints<\/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\">If the coordinate of <em>Y<\/em> is X<sub>1 <\/sub>and the coordinate of <em>Z<\/em> is X<sub>2<\/sub>, then the coordinate of the midpoint of YZ is X<sub>1<\/sub> + X<sub>2<\/sub> \/2 .<\/p>\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:#eae1e1\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group\"><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-6d95fd5a073bdbc118158630f54bbf8f\" style=\"color:#b00012\"><strong>1) What is the coordinate of the midpoint of <em>PQ<\/em> ?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"828\" height=\"110\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-24.png\" alt=\"\" class=\"wp-image-9974\" style=\"aspect-ratio:7.527272727272727;width:530px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-24.png 828w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-24-300x40.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-24-768x102.png 768w\" sizes=\"auto, (max-width: 828px) 100vw, 828px\" \/><\/figure>\n\n\n\n<p><em>Write your answer as an integer or a decimal, or mixed number in simplest form.<\/em> ____________<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p>Find the coordinates of&nbsp;P and&nbsp;Q&nbsp;on the number line.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"828\" height=\"110\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T160233.717.png\" alt=\"\" class=\"wp-image-10887\" style=\"width:708px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T160233.717.png 828w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T160233.717-300x40.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T160233.717-768x102.png 768w\" sizes=\"auto, (max-width: 828px) 100vw, 828px\" \/><\/figure>\n\n\n\n<p>The coordinate of P is 8 and the coordinate of Q is 10 . So , the coordinate of the midpoint of PQ is 8+10\/2 = 18\/2 = 9.<\/p>\n\n\n\n<p>If you plot the midpoint on the number line, you can see that it is halfway between&nbsp;P and&nbsp;Q.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"828\" height=\"110\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T160233.717-1.png\" alt=\"\" class=\"wp-image-10889\" style=\"width:730px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T160233.717-1.png 828w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T160233.717-1-300x40.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T160233.717-1-768x102.png 768w\" sizes=\"auto, (max-width: 828px) 100vw, 828px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#e1cff6\"><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-5cd77cf731e9b86c68779cf87b479b18\" style=\"color:#b00012\"><strong>2) What is the coordinate of the mid point of <em>EF<\/em> ?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"795\" height=\"85\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-26.png\" alt=\"\" class=\"wp-image-9976\" style=\"aspect-ratio:9.352941176470589;width:527px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-26.png 795w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-26-300x32.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-26-768x82.png 768w\" sizes=\"auto, (max-width: 795px) 100vw, 795px\" \/><\/figure>\n\n\n\n<p>Write your answer as an integer or a decimal, or mixed number in simplest form.__________<\/p>\n<\/div><\/div>\n\n\n\n<p>Find the coordinates of&nbsp;E&nbsp;and&nbsp;F&nbsp;on the number line.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"795\" height=\"85\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T160835.475.png\" alt=\"\" class=\"wp-image-10892\" style=\"width:645px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T160835.475.png 795w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T160835.475-300x32.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T160835.475-768x82.png 768w\" sizes=\"auto, (max-width: 795px) 100vw, 795px\" \/><\/figure>\n\n\n\n<p>The coordinate of E is 5 and the coordinate of F is 7 . So , the coordinate of the midpoint of EF is 5+7\/2 = 12\/2 = 6.<\/p>\n\n\n\n<p>If you plot the midpoint on the number line, you can see that it is halfway between&nbsp;E and&nbsp;F.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"795\" height=\"85\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T160835.475-1.png\" alt=\"\" class=\"wp-image-10893\" style=\"width:617px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T160835.475-1.png 795w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T160835.475-1-300x32.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T160835.475-1-768x82.png 768w\" sizes=\"auto, (max-width: 795px) 100vw, 795px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#c9d4fb\"><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-f94ca89b4f3a06bdbca6a9ba3010bf06\" style=\"color:#b00012\"><strong>3) What is the coordinate of the midpoint of <em>RS<\/em> ?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"782\" height=\"100\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-28.png\" alt=\"\" class=\"wp-image-9978\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-28.png 782w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-28-300x38.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-28-768x98.png 768w\" sizes=\"auto, (max-width: 782px) 100vw, 782px\" \/><\/figure>\n\n\n\n<p>Write your answer as an integer or a decimal, or mixed number in simplest form. _________<\/p>\n<\/div><\/div>\n\n\n\n<p>Find the coordinates of&nbsp;R&nbsp;and&nbsp;S&nbsp;on the number line.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"782\" height=\"100\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T161316.271.png\" alt=\"\" class=\"wp-image-10894\" style=\"width:641px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T161316.271.png 782w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T161316.271-300x38.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T161316.271-768x98.png 768w\" sizes=\"auto, (max-width: 782px) 100vw, 782px\" \/><\/figure>\n\n\n\n<p>The coordinate of R is 31 and the coordinate of S is 33 . So , the coordinate of the midpoint of RS is 31+33\/2 = 64\/2 = 32.<\/p>\n\n\n\n<p>If you plot the midpoint on the number line, you can see that it is halfway between&nbsp;R and&nbsp;S.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"782\" height=\"100\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T161316.271-1.png\" alt=\"\" class=\"wp-image-10896\" style=\"width:626px;height:auto\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T161316.271-1.png 782w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T161316.271-1-300x38.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-removebg-preview-2023-12-28T161316.271-1-768x98.png 768w\" sizes=\"auto, (max-width: 782px) 100vw, 782px\" \/><\/figure>\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\/85888\/137\/942\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-68.png\" alt=\"\" class=\"wp-image-7030\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-68.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-68-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-68-150x150.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\/63830\/314\/613\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-86.png\" alt=\"\" class=\"wp-image-7032\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-86.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-86-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-86-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Midpoints Key Notes : If the coordinate of Y is X1 and the coordinate of Z is X2, then the coordinate of the midpoint of YZ is X1 + X2 \/2 . Learn with an example 1) What is the coordinate of the midpoint of PQ ? Write your answer as an integer or a<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/l-4-midpoints\/\">Continue reading <span class=\"screen-reader-text\">&#8220;L.4 Midpoints&#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-230","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/230","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=230"}],"version-history":[{"count":16,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/230\/revisions"}],"predecessor-version":[{"id":17492,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/230\/revisions\/17492"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=230"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}