{"id":4227,"date":"2022-02-14T16:41:58","date_gmt":"2022-02-14T16:41:58","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=4227"},"modified":"2022-03-04T13:39:12","modified_gmt":"2022-03-04T13:39:12","slug":"rotation","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/rotation\/","title":{"rendered":"Rotation"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h5>Rotation<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Rotation is a circular motion around the particular axis of rotation or point of rotation. In general, rotation can be done in two common directions, clockwise and anti-clockwise or counter-clockwise direction.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]<strong>To rotate an object around a fixed point:<\/strong><br \/>\n1. Determine if the movement will be clockwise (negative) or counter-clockwise (positive).<br \/>\n2. Starting at the fixed point the object will be rotating around, find the two lines that connect to that point.<br \/>\n3. Choose one of the lines to rotate first. Move that line in the clockwise or counter-clockwise direction until it has completely rotated around the point in the number of degrees required. Draw the line (with the same length) in the new location.<br \/>\n4. Choose the second line to rotate next. Move that line in the clockwise or counter-clockwise direction until it has completely rotated around the point in the number of degrees required. Draw the line (with the same length) in the new location.<br \/>\n5. Draw the rest of the lines needed to complete the shape.<\/p>\n<p><strong>To rotate an object about the origin:<\/strong><br \/>\nA rotation about the origin, is a rotation that has a center of rotation at the origin (0,0).<\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/rotation-g5\"><img loading=\"lazy\" class=\"alignnone \" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1638784693526.svg\" width=\"414\" height=\"206\" \/><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/rotation-g5\"><img loading=\"lazy\" class=\"alignnone wp-image-4236 \" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1638784283967.svg\" alt=\"\" width=\"321\" height=\"277\" \/><\/a><br \/>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<strong><span style=\"color: #16a085;\">Graph the image given, rotated around the origin 180 degrees. <\/span><\/strong><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/rotation-g5\"><img loading=\"lazy\" class=\"alignnone \" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1638784301462.svg\" width=\"402\" height=\"311\" \/><\/a>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]Find the coordinates for all of the vertices. A(1, -2), B(4, -2), C(4, -4), and D(0, -4). For a 180 degree rotation around the origin, use the rule (x, y) \u2192 (-x, -y). This means to take the opposite of both the x and y coordinate values in the preimage to get the coordinates of the image.<br \/>\n<strong>A'(-1, 2), B'(-4, 2), C'(-4, 4), and D'(0, 4).<\/strong><\/p>\n<p><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/rotation-g5\"><img loading=\"lazy\" class=\"alignnone \" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1638784309662.svg\" width=\"408\" height=\"315\" \/><\/a>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Rotation<br \/>\n[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><strong><span style=\"color: #16a085;\">Graph the image of rectangle ABCD after rotation 90\u00b0 counter-clockwise around the point C.<\/span><\/strong><br \/>\nSelect the direction and the point to rotate around. Then, use the slider to rotate.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/rotation-g5\"><img loading=\"lazy\" class=\"alignnone wp-image-4239 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/5-13.png\" alt=\"Rotation - Practice Problem 1\" width=\"372\" height=\"239\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/5-13.png 372w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/5-13-300x193.png 300w\" sizes=\"(max-width: 372px) 100vw, 372px\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/rotation-g5″][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><strong><span style=\"color: #16a085;\">Graph the image of \u2206ABC after rotation 270\u00b0 counter-clockwise around the point B.<\/span><\/strong><br \/>\nSelect the direction and the point to rotate around. Then, use the slider to rotate.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/rotation-g5\"><img loading=\"lazy\" class=\"alignnone wp-image-4241 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/6-5.png\" alt=\"Rotation - Practice Problem 2\" width=\"386\" height=\"242\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/6-5.png 386w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/6-5-300x188.png 300w\" sizes=\"(max-width: 386px) 100vw, 386px\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/rotation-g5″][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><strong><span style=\"color: #16a085;\">Graph the image given, rotated 90 degrees clockwise around the origin.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/rotation-g5\"><img loading=\"lazy\" class=\"alignnone wp-image-4244 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/7-4.png\" alt=\"Rotation - Practice Problem 3\" width=\"281\" height=\"281\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/7-4.png 281w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/7-4-150x150.png 150w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/7-4-214x214.png 214w\" sizes=\"(max-width: 281px) 100vw, 281px\" \/><\/a><\/p>\n[\/vc_column_text][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><strong><span style=\"color: #16a085;\">Graph the image given, rotated 90 degrees clockwise around the origin.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/rotation-g5\"><img loading=\"lazy\" class=\"alignnone wp-image-4244 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/7-4.png\" alt=\"\" width=\"281\" height=\"281\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/7-4.png 281w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/7-4-150x150.png 150w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/7-4-214x214.png 214w\" sizes=\"(max-width: 281px) 100vw, 281px\" \/><\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/rotation-g5″][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 4<\/h5>\n<p><strong><span style=\"color: #16a085;\">Mary tidied up her room. She rotated all things 180 degrees. Her chair now has coordinates E'(-1,-1), F'(-2,1), G'(-4,1), and H'(-5,-1). What would be the old coordinates?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/rotation-g5\"><img loading=\"lazy\" class=\"alignnone wp-image-4246 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/8-4.png\" alt=\"Rotation - Practice Problem 4\" width=\"319\" height=\"45\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/8-4.png 319w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/8-4-300x42.png 300w\" sizes=\"(max-width: 319px) 100vw, 319px\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/rotation-g5″][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”30px”][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]<strong>Transformation<\/strong>: A transformation is an operation that maps an original geometric figure, the preimage, onto a new figure called the image.<\/p>\n<p><strong>Rotation<\/strong>: A rotation is a transformation in which a figure is rotated, or turned, about a fixed point.<\/p>\n<p><strong>Center of Rotation<\/strong>: A fixed point around which shapes move in a circular motion to a new position.<\/p>\n<p><strong>Congruent<\/strong>: Figures that have the same shape and same size.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/Graph-Points-on-Coordinate-Plane-g5\"><span style=\"color: #ed5600;\">Graph Points on Coordinate Plane<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/angles\"><span style=\"color: #ed5600;\">Angles<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635403970423{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 35px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/translation\"><span style=\"color: #333399;\">Translation<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/reflection\"><span style=\"color: #333399;\">Reflection<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/dilation\"><span style=\"color: #333399;\">Dilation<\/span><\/a><br \/>\n[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||”][vc_btn title=”Grade 6″ color=”info” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F6th-grade%2Fmaths|title:Grade%206%20Math||”][vc_btn title=”Grade 7″ color=”vista-blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F7th-grade%2Fmaths|title:Grade%207%20Math||”][vc_btn title=”Grade 8″ color=”mulled-wine” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F8th-grade%2Fmaths|title:Grade%208%20Math||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Geometry and Spatial sense” color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fgeometry-and-spatial-sense|title:Geometry%20and%20Spatial%20sense||”][vc_btn title=”Graphs” color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fgraphs|title:Graphs||”][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"<p>[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Rotation [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Rotation is a circular motion around the particular axis of rotation or point of rotation. In general, rotation can be done in two common directions, clockwise and anti-clockwise or counter-clockwise […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Rotation | Oryx Learning<\/title>\n<meta name=\"description\" content=\"Rotation is a circular motion around the particular axis of rotation or point of rotation. 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