{"id":267,"date":"2022-04-13T10:31:10","date_gmt":"2022-04-13T10:31:10","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=267"},"modified":"2025-02-15T07:22:51","modified_gmt":"2025-02-15T07:22:51","slug":"n-3-rotations-find-the-coordinates","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/n-3-rotations-find-the-coordinates\/","title":{"rendered":"N.3 Rotations: find the coordinates"},"content":{"rendered":"\n

Rotations: find the coordinates<\/strong><\/h2>\n\n\n\n

Key Notes :<\/p>\n\n\n\n

A rotation turns a figure around a fixed point.<\/p>\n\n\n\n

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

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The point P<\/em>(–<\/sup>6, –<\/sup>6) is rotated 270\u00b0 anticlockwise around the origin. What are the coordinates of the resulting point, P<\/em>\u2032?<\/p>\n\n\n

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

P’ = (_____,____)<\/p>\n<\/div><\/div>\n\n\n\n

270\u00b0 is 3\/4 of a full turn. The rotation will turn the point 3\/4 of a full turn in the anticlockwise direction.<\/p>\n\n\n

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

270\u00b0 anticlockwise is the same as 90\u00b0clockwise. You can think of the rotation as 1\/4 of a full turn in the clockwise direction.<\/p>\n\n\n

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

Start with the point P<\/em>(–<\/sup>6, –<\/sup>6).<\/p>\n\n\n

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

Rotate the point 270\u00b0 anticlockwise around the origin. The point will move from Quadrant III to Quadrant II. To find the exact location, imagine (0, 0) and P<\/em> forming opposite corners of a box. Rotate the box, keeping the (0, 0) corner fixed.<\/p>\n\n\n

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

P<\/em>\u2032 has coordinates (–<\/sup>6, 6).<\/p>\n<\/div><\/div>\n\n\n\n

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The point V<\/em>(1, –<\/sup>2) is rotated 180\u00b0 clockwise around the origin. What are the coordinates of the resulting point, V<\/em>\u2032?<\/p>\n\n\n

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

V’ = (_____,____)<\/p>\n<\/div><\/div>\n\n\n\n

180\u00b0 is 1\/2 of a full turn.The rotation will turn the point 1\/2 of a full turn in the clockwise direction.<\/p>\n\n\n

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

Start with the point V<\/em>(1, –<\/sup>2).<\/p>\n\n\n

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

Rotate the point 180\u00b0 clockwise around the origin. The point will move from Quadrant IV to Quadrant II. To find the exact location, imagine (0, 0) and V<\/em> forming opposite corners of a box. Rotate the box, keeping the (0, 0) corner fixed.<\/p>\n\n\n

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

V<\/em>\u2032 has coordinates (–<\/sup>1, 2).<\/p>\n<\/div><\/div>\n\n\n\n

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The point P<\/em>(–<\/sup>1, –<\/sup>4) is rotated 180\u00b0 anticlockwise around the origin. What are the coordinates of the resulting point, P<\/em>\u2032?<\/p>\n\n\n

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

P’ = (_____,____)<\/p>\n<\/div><\/div>\n\n\n\n

180\u00b0 is 1\/2 of a full turn.The rotation will turn the point 1\/2 of a full turn in the anticlockwise direction.<\/p>\n\n\n

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

Start with the point P(-1,-4)<\/p>\n\n\n

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

Rotate the point 180\u00b0 anticlockwise around the origin. The point will move from Quadrant III to Quadrant I. To find the exact location, imagine (0, 0) and P<\/em> forming opposite corners of a box. Rotate the box, keeping the (0, 0) corner fixed.<\/p>\n\n\n

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

P<\/em>\u2032 has coordinates (1, 4).<\/p>\n<\/div><\/div>\n\n\n\n

let’s practice!<\/p>\n\n\n\n

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

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Rotations: find the coordinates Key Notes : A rotation turns a figure around a fixed point. Learn with an example The point P(–6, –6) is rotated 270\u00b0 anticlockwise around the origin. What are the coordinates of the resulting point, P\u2032? P’ = (_____,____) 270\u00b0 is 3\/4 of a full turn. The rotation will turn the point 3\/4 of aContinue reading “N.3 Rotations: find the coordinates”<\/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-267","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/267","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=267"}],"version-history":[{"count":18,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/267\/revisions"}],"predecessor-version":[{"id":17526,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/267\/revisions\/17526"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=267"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}