{"id":275,"date":"2022-04-13T10:32:29","date_gmt":"2022-04-13T10:32:29","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=275"},"modified":"2025-02-28T11:45:12","modified_gmt":"2025-02-28T11:45:12","slug":"n-7-dilations-graph-the-image","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/n-7-dilations-graph-the-image\/","title":{"rendered":"N.7 Dilations: graph the image"},"content":{"rendered":"\n

Dilations: graph the image<\/h2>\n\n\n\n

A dilation enlarges or reduces a figure.<\/p>\n\n\n\n

Learn with an example<\/p>\n\n\n\n

\n
\n

Graph the image of \u25b3CDE after a dilation with a scale factor of 1\/4, centred at the origin.<\/p>\n\n\n\n

\"\"<\/figure>\n<\/div><\/div>\n\n\n\n

The scale factor of a dilation is the ratio of a length in the image to the corresponding length in the original figure.<\/p>\n\n\n\n

This dilation is centred at the origin, so you can find the image by multiplying the x- and y-coordinates by the scale factor.<\/p>\n\n\n\n

Multiply the coordinates of point C(\u20138,0)by 14.The image is C‘<\/em>(\u20132,0).<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Now multiply the coordinates of point D(4,0) by 1\/4. The image is D‘<\/em>(1,0).<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Now multiply the coordinates of point E(\u20138,\u20138) by 1\/4.The image is E‘<\/em>(\u20132,\u20132).The dilated points form a triangle similar to \u25b3CDE.<\/p>\n\n\n\n

\"\"<\/figure>\n<\/div><\/div>\n\n\n\n
\n
\n

Graph the image of \u25b3BCD after a dilation with a scale factor of 1\/3, centred at the origin.<\/p>\n\n\n\n

\"\"<\/figure>\n<\/div><\/div>\n\n\n\n

The scale factor of a dilation is the ratio of a length in the image to the corresponding length in the original figure.<\/p>\n\n\n\n

This dilation is centred at the origin, so you can find the image by multiplying the x- and y-coordinates by the scale factor.<\/p>\n\n\n\n

Multiply the coordinates of point B(\u20139,0)by 1\/3.The image is B‘<\/em>(\u20133,0).<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Now multiply the coordinates of point C(9,0) by 1\/3. The image is C‘<\/em>(3,0).<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Now multiply the coordinates of point D(\u20139,6) by 1\/3.The image is D‘<\/em>(\u20133,2).<\/p>\n\n\n\n

The dilated points form a triangle similar to \u25b3BCD.<\/p>\n\n\n\n

\"\"<\/figure>\n<\/div><\/div>\n\n\n\n
\n
\n

Graph the image of rectangle RSTU after a dilation with a scale factor of 1\/5, centred at the origin.<\/p>\n\n\n\n

\"\"<\/figure>\n<\/div><\/div>\n\n\n\n

The scale factor of a dilation is the ratio of a length in the image to the corresponding length in the original figure.<\/p>\n\n\n\n

This dilation is centred at the origin, so you can find the image by multiplying the x-and y-coordinates by the scale factor.<\/p>\n\n\n\n

Multiply the coordinates of point R(0,5) by 1\/5. The image is R‘<\/em>(0,1).<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Now multiply the coordinates of point S(10,5) by 1\/5. The image is S‘<\/em>(2,1).<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Now multiply the coordinates of points T(10,10) and U(0,10) by 15. The images are T‘<\/em>(2,2) and U‘<\/em>(0,2).<\/p>\n\n\n\n

The dilated points form a rectangle similar to RSTU.<\/p>\n\n\n\n

\"\"<\/figure>\n<\/div><\/div>\n\n\n\n
\n
\n
\n

Graph the image of \u25b3BCD after a dilation with a scale factor of 3, centred at the origin.<\/p>\n\n\n\n

\"\"<\/figure>\n<\/div><\/div>\n\n\n\n

The scale factor of a dilation is the ratio of a length in the image to the corresponding length in the original figure.<\/p>\n\n\n\n

This dilation is centred at the origin, so you can find the image by multiplying the x- and y-coordinates by the scale factor.<\/p>\n\n\n\n

Multiply the coordinates of point B(2,\u20132) by 3. The image is B‘<\/em>(6,\u20136).<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Now multiply the coordinates of point C(2,0) by 3. The image is C‘<\/em>(6,0).<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Now multiply the coordinates of point D(\u20133,\u20133) by 3. The image is D‘<\/em>(\u20139,\u20139).<\/p>\n\n\n\n

The dilated points form a triangle similar to \u25b3BCD.<\/p>\n\n\n\n

\"\"<\/figure>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n

let’s practice!<\/p>\n\n\n\n

\n
\n
\"\"<\/a><\/figure>\n<\/div>\n\n\n\n
\n
\"\"<\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Dilations: graph the image A dilation enlarges or reduces a figure. Learn with an example Graph the image of \u25b3CDE after a dilation with a scale factor of 1\/4, centred at the origin. The scale factor of a dilation is the ratio of a length in the image to the corresponding length in the original figure. This dilation is centred at the origin, so you canContinue reading “N.7 Dilations: graph the image”<\/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-275","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/275","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=275"}],"version-history":[{"count":15,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/275\/revisions"}],"predecessor-version":[{"id":17548,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/275\/revisions\/17548"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=275"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}