{"id":2332,"date":"2021-10-08T13:32:20","date_gmt":"2021-10-08T13:32:20","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=2332"},"modified":"2022-02-28T17:11:46","modified_gmt":"2022-02-28T17:11:46","slug":"congruence-statement","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/congruence-statement\/","title":{"rendered":"Congruence statement"},"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<h2>Congruence Statement – Online Pratice With Examples<\/h2>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Determine the congruence statement for given two congruent figures.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]A <a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/congruence\">congruence statement<\/a> says that two polygons are congruent.<br \/>\nTo determine a congruence statement, list the corresponding vertices in the same order.[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]Write the congruent statement for the right triangles below?<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/congruence\"><img loading=\"lazy\" class=\"alignnone wp-image-2334 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/1-2.png\" alt=\"\" width=\"179\" height=\"133\" \/><\/a>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]In order to set up a congruence statement, we can write the first figure in whichever order we choose. We can see that the first triangle is named triangle ABC. Now we can match up angles in pairs. We see that the right angle A will match up with the right angle E in the other triangle. Similarly, angle B will pair up with angle F, and angle C will pair up with angle D. Therefore, the congruent statement formed is<\/p>\n<div style=\"margin-top: -15px; margin-left: 0px; width: 170px;\">\n<table>\n<tbody>\n<tr>\n<td style=\"height: 50px;\">\n<div style=\"font-size: 16px; border: 1px solid black; width: 170px; height: 50px; background-color: #beedfd; border-radius: 2px; display: inline-flex; align-items: center; justify-content: center; text-align: center; color: #ff0000;\">\u2206ABC \u2245 \u2206EFD<\/div>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <\/p>\n<\/div>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Congruence Statement[\/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;\">Which of the following is the correct congruent statement for the right triangles below?\u00a0<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/congruence\"><img loading=\"lazy\" class=\"alignnone wp-image-2820 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/1-17.png\" alt=\"Congruence Statement \u2013 Problem 1\" width=\"288\" height=\"293\" \/><\/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\/8th-grade\/congruence”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”22px”][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;\">Which of the following is the correct congruent statement for the quadrilaterals below?<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/congruence\"><img loading=\"lazy\" class=\"alignnone wp-image-2823 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/2-14.png\" alt=\"Congruence Statement \u2013 Problem 2\" width=\"289\" height=\"256\" \/><\/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\/8th-grade\/congruence”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”22px”][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;\">Given \u2206UVP \u2245 \u2206RST, angle S is 23\u02da and angle R is 84\u02da, find angle U. <\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/congruence\"><img loading=\"lazy\" class=\"alignnone wp-image-2830 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/3-11.png\" alt=\"Congruence Statement \u2013 Problem 3\" width=\"210\" height=\"53\" \/><\/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\/8th-grade\/congruence”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”22px”][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;\">Given \u2206GHD \u2245 \u2206YXZ, and side XZ is 18 m, find length of HD. <\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/congruence\"><img loading=\"lazy\" class=\"alignnone wp-image-2832 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/4-8.png\" alt=\"\" width=\"178\" height=\"52\" \/><\/a>[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/congruence”][\/vc_column_inner][\/vc_row_inner][vc_empty_space height=”22px”][vc_empty_space height=”22px”][\/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>Similar<\/strong> – Figures that have the same shape, but not necessarily the same size.<\/p>\n<p><strong>Congruent <\/strong>– Figures that have the same shape and same size.<\/p>\n<p><strong>Corresponding parts<\/strong> – The parts of congruent figures that match or correspond.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skill<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/congruence-and-transformations\"><span style=\"color: #ed5600;\">Congruence and Transformations <\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635231725730{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\/8th-grade\/similarity-and-transformations\"><span style=\"color: #333399;\">Similarity and Transformations<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/properties-of-similar-polygons\"><span style=\"color: #333399;\">Properties of Similar Polygons<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/similar-triangles-and-indirect-measurement\"><span style=\"color: #333399;\">Similar Triangles and Indirect Measurement<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/slope-and-similar-triangles\"><span style=\"color: #333399;\">Slope and Similar Triangles<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/8th-grade\/area-and-perimeter-of-similar-figures\"><span style=\"color: #333399;\">Area and Perimeter of Similar Figures<\/span><\/a>[\/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_btn title=”Trigonometry” color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Ftrigonometry|title:Trigonometry||”][\/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] Congruence Statement – Online Pratice With Examples [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Determine the congruence statement for given two congruent figures.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]A congruence statement says that two polygons are congruent. To determine a congruence statement, list […]<\/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>Congruence Statement - Online Practice, Rules With Examples | Oryx Learning<\/title>\n<meta name=\"description\" content=\"The consensual statement is a phrase used in geometry that declares the two elements are in congruity or have the same size and shape. 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