{"id":279,"date":"2022-04-13T10:33:09","date_gmt":"2022-04-13T10:33:09","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=279"},"modified":"2025-03-01T07:23:53","modified_gmt":"2025-03-01T07:23:53","slug":"n-9-dilations-scale-factor-and-classification","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/n-9-dilations-scale-factor-and-classification\/","title":{"rendered":"N.9 Dilations: scale factor and classification"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#b82222\"> Dilations: scale factor and classification<\/h2>\n\n\n\n<p>The scale factor of a dilation is the ratio of a length in the image after the dilation to the corresponding length in the original figure.<\/p>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#2145c9\">Learn with an example<\/p>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#d7f6e7\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>The purple shape is a dilation of the black shape. What is the scale factor of the dilation?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-500px-31.png\" alt=\"\" class=\"wp-image-4777\" style=\"width:428px;height:428px\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-500px-31.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-500px-31-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-500px-31-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p>Find the length of one side in the original shape.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___1_-removebg-preview-12.png\" alt=\"\" class=\"wp-image-4778\" style=\"width:322px;height:322px\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___1_-removebg-preview-12.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___1_-removebg-preview-12-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___1_-removebg-preview-12-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>The side connects&nbsp;(<sup>&#8211;<\/sup>1,&nbsp;<sup>&#8211;<\/sup>2)&nbsp;and&nbsp;(1,&nbsp;<sup>&#8211;<\/sup>2). It is 2 units long.<\/p>\n\n\n\n<p>Find the length of the corresponding side in the image.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___2_-removebg-preview-13.png\" alt=\"\" class=\"wp-image-4779\" style=\"width:319px;height:319px\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___2_-removebg-preview-13.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___2_-removebg-preview-13-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___2_-removebg-preview-13-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>The side connects&nbsp;(<sup>&#8211;<\/sup>5,&nbsp;<sup>&#8211;<\/sup>10)&nbsp;and&nbsp;(5,&nbsp;<sup>&#8211;<\/sup>10). It is 10 units long.<\/p>\n\n\n\n<p>Write the ratio of the length in the image to the length in the original figure.<\/p>\n\n\n\n<p>10\/2<\/p>\n\n\n\n<p>Simplify the fraction.<\/p>\n\n\n\n<p>10\/2=5<\/p>\n\n\n\n<p>The scale factor is 5.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#e2eadf\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>The orange shape is a dilation of the black shape. Is it an enlargement or a reduction?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-500px-3-5.png\" alt=\"\" class=\"wp-image-4783\" style=\"width:338px;height:338px\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-500px-3-5.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-500px-3-5-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-500px-3-5-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p>The orange shape is larger than the black shape. So, the dilation is an enlargement.<\/p>\n\n\n\n<p>You can check your answer by finding the scale factor. Find the length of one side in the original shape.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___4_-removebg-preview-9.png\" alt=\"\" class=\"wp-image-4784\" style=\"width:341px;height:341px\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___4_-removebg-preview-9.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___4_-removebg-preview-9-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___4_-removebg-preview-9-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>The side connects&nbsp;(<sup>&#8211;<\/sup>3,&nbsp;<sup>&#8211;<\/sup>3)&nbsp;and&nbsp;(3,&nbsp;<sup>&#8211;<\/sup>3). It is 6 units long.<\/p>\n\n\n\n<p>Find the length of the corresponding side in the image.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___4_-removebg-preview-10.png\" alt=\"\" class=\"wp-image-4785\" style=\"width:331px;height:331px\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___4_-removebg-preview-10.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___4_-removebg-preview-10-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___4_-removebg-preview-10-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>The side connects&nbsp;(<sup>&#8211;<\/sup>9,&nbsp;<sup>&#8211;<\/sup>9)&nbsp;and&nbsp;(9,&nbsp;<sup>&#8211;<\/sup>9). It is 18 units long.<\/p>\n\n\n\n<p>Write the ratio of the length in the image to the length in the original figure.<\/p>\n\n\n\n<p>18\/6<\/p>\n\n\n\n<p>Simplify the fraction.<\/p>\n\n\n\n<p>18\/6=3<\/p>\n\n\n\n<p>The scale factor is 3. Since the scale factor is greater than 1, the dilation is an enlargement.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#edd7ff\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>The green shape is a dilation of the black shape. Is it an enlargement or a reduction?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-500px-6-3.png\" alt=\"\" class=\"wp-image-4789\" style=\"width:250px;height:250px\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-500px-6-3.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-500px-6-3-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-500px-6-3-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p>The green shape is smaller than the black shape. So, the dilation is a reduction.<\/p>\n\n\n\n<p>You can check your answer by finding the scale factor. Find the length of one side in the original shape.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px_-removebg-preview-7.png\" alt=\"\" class=\"wp-image-4790\" style=\"width:290px;height:290px\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px_-removebg-preview-7.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px_-removebg-preview-7-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px_-removebg-preview-7-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>The side connects&nbsp;(<sup>&#8211;<\/sup>10,&nbsp;<sup>&#8211;<\/sup>10)&nbsp;and&nbsp;(<sup>&#8211;<\/sup>10, 5). It is 15 units long.<\/p>\n\n\n\n<p>Find the length of the corresponding side in the image.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___1_-removebg-preview-13.png\" alt=\"\" class=\"wp-image-4791\" style=\"width:331px;height:331px\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___1_-removebg-preview-13.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___1_-removebg-preview-13-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled__500___500px___1_-removebg-preview-13-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n\n\n\n<p>The side connects&nbsp;(<sup>&#8211;<\/sup>2,&nbsp;<sup>&#8211;<\/sup>2)&nbsp;and&nbsp;(<sup>&#8211;<\/sup>2, 1). It is 3 units long.<\/p>\n\n\n\n<p>Write the ratio of the length in the image to the length in the original figure.<\/p>\n\n\n\n<p>3\/15<\/p>\n\n\n\n<p>Simplify the fraction.<\/p>\n\n\n\n<p>3\/15=1\/5<\/p>\n\n\n\n<p>The scale factor is 1\/5. Since the scale factor is greater than 1, the dilation is an enlargement.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#39125c\">let&#8217;s practice!<\/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\/87677\/402\/940\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-90.png\" alt=\"\" class=\"wp-image-7121\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-90.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-90-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-90-150x150.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\/38078\/308\/162\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-108.png\" alt=\"\" class=\"wp-image-7122\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-108.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-108-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-108-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Dilations: scale factor and classification The scale factor of a dilation is the ratio of a length in the image after the dilation to the corresponding length in the original figure. Learn with an example The purple shape is a dilation of the black shape. What is the scale factor of the dilation? Find the<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/n-9-dilations-scale-factor-and-classification\/\">Continue reading <span class=\"screen-reader-text\">&#8220;N.9 Dilations: scale factor and classification&#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-279","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/279","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=279"}],"version-history":[{"count":13,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/279\/revisions"}],"predecessor-version":[{"id":17551,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/279\/revisions\/17551"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=279"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}