{"id":47092,"date":"2025-07-02T10:28:08","date_gmt":"2025-07-02T10:28:08","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=47092"},"modified":"2025-07-02T10:28:09","modified_gmt":"2025-07-02T10:28:09","slug":"what-is-the-coordinate-of-c-after-a-270-degree-rotation-counter-clockwise","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-is-the-coordinate-of-c-after-a-270-degree-rotation-counter-clockwise\/","title":{"rendered":"What is the coordinate of C&#8217; after a 270 degree rotation counter clockwise"},"content":{"rendered":"\n<p>What is the coordinate of C&#8217; after a 270 degree rotation counter clockwise? A) (5,5) B (5,-6) (C) (-5,-6) D) (-6,6)<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"700\" height=\"646\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/image-111.png\" alt=\"\" class=\"wp-image-47131\" style=\"width:840px;height:auto\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/image-111.png 700w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/image-111-300x277.png 300w\" sizes=\"auto, (max-width: 700px) 100vw, 700px\" \/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is&nbsp;<strong>B (5, -6)<\/strong>.<\/p>\n\n\n\n<p>To find the coordinates of C&#8217; after a 270-degree counterclockwise rotation, we first need to identify the original coordinates of point C from the provided graph. By observing the coordinate plane, we can see that point C is located 6 units to the right of the origin along the x-axis and 5 units up along the y-axis. Therefore, the coordinates of point C are (6, 5).<\/p>\n\n\n\n<p>The next step is to apply the rule for a 270-degree counterclockwise rotation about the origin. When a point with coordinates (x, y) is rotated 270 degrees counterclockwise, its new coordinates, which we can call (x&#8217;, y&#8217;), are determined by the formula (y, -x). This rule indicates that the original y-coordinate becomes the new x-coordinate, and the negative of the original x-coordinate becomes the new y-coordinate.<\/p>\n\n\n\n<p>Now, we apply this rule to our point C (6, 5). In this case, x = 6 and y = 5. Using the rotation formula (y, -x), we substitute the values:<\/p>\n\n\n\n<p>The new x-coordinate (x&#8217;) will be the original y-coordinate, which is 5.<br>The new y-coordinate (y&#8217;) will be the negative of the original x-coordinate, which is -6.<\/p>\n\n\n\n<p>This calculation gives us the new coordinates for C&#8217; as (5, -6).<\/p>\n\n\n\n<p>We can also visualize this rotation to confirm the result. Point C (6, 5) is in the first quadrant. A 90-degree counterclockwise rotation would place it in the second quadrant. A 180-degree rotation would move it to the third quadrant. Finally, a 270-degree rotation places it in the fourth quadrant. The coordinates (5, -6) correctly place the point in the fourth quadrant, as points in this quadrant have a positive x-coordinate and a negative y-coordinate.<\/p>\n\n\n\n<p>Comparing our result with the given options, the coordinates (5, -6) match option B<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-216.jpeg\" alt=\"\" class=\"wp-image-47136\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-216.jpeg 1024w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-216-300x300.jpeg 300w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-216-150x150.jpeg 150w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-216-768x768.jpeg 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>What is the coordinate of C&#8217; after a 270 degree rotation counter clockwise? A) (5,5) B (5,-6) (C) (-5,-6) D) (-6,6) The Correct Answer and Explanation is: The correct answer is&nbsp;B (5, -6). To find the coordinates of C&#8217; after a 270-degree counterclockwise rotation, we first need to identify the original coordinates of point C [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-47092","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/47092","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=47092"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/47092\/revisions"}],"predecessor-version":[{"id":47141,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/47092\/revisions\/47141"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=47092"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=47092"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=47092"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}