{"id":1112,"date":"2026-03-08T16:42:24","date_gmt":"2026-03-08T16:42:24","guid":{"rendered":"https:\/\/yesrenee.com\/?p=1112"},"modified":"2026-03-08T16:45:20","modified_gmt":"2026-03-08T16:45:20","slug":"distance-preserving-proprety-of-rotation","status":"publish","type":"post","link":"https:\/\/yesrenee.com\/?p=1112","title":{"rendered":"Distance Preserving Proprety of Rotation"},"content":{"rendered":"\n<p>Rotation is a transformation in metric spaces. Though the positions of points and lines will change, their lengths and angles will not.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"450\" height=\"331\" src=\"https:\/\/yesrenee.com\/wp-content\/uploads\/2026\/03\/screen_shot_2022-03-26_at_7.45.11_am8022974024482459394.png\" alt=\"\" class=\"wp-image-1113\" srcset=\"https:\/\/yesrenee.com\/wp-content\/uploads\/2026\/03\/screen_shot_2022-03-26_at_7.45.11_am8022974024482459394.png 450w, https:\/\/yesrenee.com\/wp-content\/uploads\/2026\/03\/screen_shot_2022-03-26_at_7.45.11_am8022974024482459394-300x221.png 300w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><\/figure>\n\n\n\n<p>A rotation is a type of isometry that moves all points according to a fixed point known as the rotocenter. <\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Rotation is a transformation in metric spaces. Though the positions of points and lines will change, their lengths and angles will not. A rotation is a type of isometry that moves all points according to a fixed point known as the rotocenter.<\/p>\n","protected":false},"author":1,"featured_media":1113,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[41,22,42,43],"class_list":["post-1112","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-daily","tag-geometry","tag-math","tag-repechage","tag-rotation"],"_links":{"self":[{"href":"https:\/\/yesrenee.com\/index.php?rest_route=\/wp\/v2\/posts\/1112","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/yesrenee.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/yesrenee.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/yesrenee.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/yesrenee.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1112"}],"version-history":[{"count":2,"href":"https:\/\/yesrenee.com\/index.php?rest_route=\/wp\/v2\/posts\/1112\/revisions"}],"predecessor-version":[{"id":1116,"href":"https:\/\/yesrenee.com\/index.php?rest_route=\/wp\/v2\/posts\/1112\/revisions\/1116"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/yesrenee.com\/index.php?rest_route=\/wp\/v2\/media\/1113"}],"wp:attachment":[{"href":"https:\/\/yesrenee.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1112"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/yesrenee.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1112"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/yesrenee.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1112"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}