{"id":269,"date":"2022-04-13T10:31:26","date_gmt":"2022-04-13T10:31:26","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=269"},"modified":"2025-02-28T09:29:21","modified_gmt":"2025-02-28T09:29:21","slug":"n-4-congruence-transformations","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/n-4-congruence-transformations\/","title":{"rendered":"N.4 Congruence transformations"},"content":{"rendered":"\n

Congruence transformations<\/strong><\/h2>\n\n\n\n

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

A reflection flips a figure across a line to create a mirror image.<\/p>\n\n\n\n

When a point is reflected across the line y=x  the coordinates switch places.<\/p>\n\n\n\n

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

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Write the coordinates of the vertices after a rotation 270\u00b0 clockwise around the origin.<\/strong><\/p>\n\n\n

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

T (5,-7)——> T'(____ , ____)<\/p>\n\n\n\n

U(5 ,-6)——>U'(____ , ____)<\/p>\n\n\n\n

V(7 , -6)——>V'(____ , ____)<\/p>\n\n\n\n

W(7 , 7)——>W'(____ , ____)<\/p>\n<\/div><\/div>\n\n\n\n

270\u00b0is 3\/4 of a full turn . The rotation will turn the rectangle 3\/4 of a full turn in the clockwise direction.<\/p>\n\n\n

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

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

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

Rotate point T<\/em>(5, –<\/sup>7) 270\u00b0 clockwise around the origin. The point will move from Quadrant IV to Quadrant I. To find the exact location, imagine (0, 0) and T<\/em> forming opposite corners of a box. Rotate the box, keeping the (0, 0) corner fixed. T<\/em>\u2032 has coordinates (7, 5).<\/p>\n\n\n

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

Now rotate point U<\/em>(5, –<\/sup>6) 270\u00b0 clockwise around the origin. The point will move from Quadrant IV to Quadrant I. Again, imagine a box to find the exact location. U<\/em>\u2032 has coordinates (6, 5).<\/p>\n\n\n

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

Now rotate points V<\/em>(7, –<\/sup>6) and W<\/em>(7, –<\/sup>7) 270\u00b0 clockwise around the origin. V<\/em>\u2032 has coordinates (6, 7) and W<\/em>\u2032 has coordinates (7, 7).<\/p>\n\n\n\n

The rotated points form a rectangle congruent to TUVW<\/em>.<\/p>\n\n\n

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

Write the coordinates of the vertices using arrow notation:<\/p>\n\n\n\n

T(5 , -7) ——> T'(7 , 5)<\/p>\n\n\n\n

U(5 ,-6)——>U'(6 , 5)<\/p>\n\n\n\n

V(7 , -6)——>V'(6 , 7)<\/p>\n\n\n\n

W(7 , 7)——>W'(7 , 7)<\/p>\n<\/div><\/div>\n\n\n\n

\n
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Write the coordinates of the vertices after a rotation 90\u00b0 clockwise around the origin.<\/strong><\/p>\n\n\n

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

T (-8 , 3)——> T'(____ , ____)<\/p>\n\n\n\n

U(-8 ,10)——>U'(____ , ____)<\/p>\n\n\n\n

V(-3 , 3)——>V'(____ , ____)<\/p>\n<\/div><\/div>\n\n\n\n

90\u00b0is 1\/4 of a full turn . The rotation will turn the triangle 1\/4 of a full turn in the clockwise direction.<\/p>\n\n\n

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

Rotate point T<\/em>(–<\/sup>8, 3) 90\u00b0 clockwise around the origin. The point will move from Quadrant II to Quadrant I. To find the exact location, imagine (0, 0) and T<\/em> forming opposite corners of a box. Rotate the box, keeping the (0, 0) corner fixed. T<\/em>\u2032 has coordinates (3, 8).<\/p>\n\n\n

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

Now rotate point U<\/em>(–<\/sup>8, 10) 90\u00b0 clockwise around the origin. The point will move from Quadrant II to Quadrant I. Again, imagine a box to find the exact location. U<\/em>\u2032 has coordinates (10, 8).<\/p>\n\n\n

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

Now rotate point V<\/em>(–<\/sup>3, 3) 90\u00b0 clockwise around the origin. V<\/em>\u2032 has coordinates (3, 3).The rotated points form a triangle congruent to TUV<\/em>.<\/p>\n\n\n

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

Write the coordinates of the vertices using arrow notation:<\/p>\n\n\n\n

T (-8 , 3)——> T'(3 , 8)<\/p>\n\n\n\n

U(-8 ,10)——>U'(10 , 8)<\/p>\n\n\n\n

V(-3 , 3)——>V'(3 , 3)<\/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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\"\"<\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Congruence transformations Key Notes : A reflection flips a figure across a line to create a mirror image. When a point is reflected across the line y=x  the coordinates switch places. Learn with an example Write the coordinates of the vertices after a rotation 270\u00b0 clockwise around the origin. T (5,-7)——> T'(____ , ____) U(5 ,-6)——>U'(____ , ____) V(7 , -6)——>V'(____ , ____) W(7Continue reading “N.4 Congruence transformations”<\/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-269","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/269","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=269"}],"version-history":[{"count":18,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/269\/revisions"}],"predecessor-version":[{"id":17545,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/269\/revisions\/17545"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=269"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}