{"id":4659,"date":"2022-02-05T20:37:57","date_gmt":"2022-02-05T20:37:57","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=4659"},"modified":"2022-03-04T13:25:25","modified_gmt":"2022-03-04T13:25:25","slug":"quadrilaterals","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/quadrilaterals\/","title":{"rendered":"Quadrilaterals"},"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″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][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>Quadrilaterals<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]In geometry, a quadrilateral is a closed shape that is formed by joining four points among which any three points are non-collinear. A quadrilateral has 4 sides, 4 angles, and 4 vertices. ‘Quadrilateral’ is derived from a Latin word, in which, ‘Quadra’ means four and ‘Latus’ means sides. All 4 sides of a quadrilateral may or may not be equal.<\/p>\n<p>Although a quadrilateral always has four sides, four angles, and four vertices, the measure of the sides and angles differ. It is to be noted that the sum of the interior angles of a quadrilateral is always equal to 360\u00b0. Below are the different types of quadrilaterals.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/classify-quadrilaterals\"><img loading=\"lazy\" class=\"alignnone wp-image-5487 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/5-25.png\" alt=\"\" width=\"295\" height=\"213\" \/><\/a><br \/>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]A square is a quadrilateral because it has 4 sides. It is also a parallelogram because opposite sides are parallel. It is a special rectangle with 4 right angles and 4 congruent sides.<\/p>\n<p>A rhombus is a quadrilateral because it has 4 sides. It is also a parallelogram because opposite sides are congruent. However, it is not a rectangle because it does not have 4 right angles. Instead, it has 2 acute and 2 obtuse angles.<\/p>\n<p>A trapezoid is a quadrilateral because it has 4 sides. However, it is not a parallelogram because two of its sides are not parallel. It is also not a rectangle, because it does not always have right angles. Instead, it has 2 acute and 2 obtuse angles and one pair of parallel sides.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/classify-quadrilaterals\"><img loading=\"lazy\" class=\"alignnone wp-image-5764 \" style=\"margin-top: 11px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1573822471051.svg\" alt=\"\" width=\"313\" height=\"313\" \/><\/a>[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<span style=\"color: #16a085;\"><strong>The family tree shows how the quadrilaterals are connected to each other.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/classify-quadrilaterals\"><img loading=\"lazy\" class=\"alignnone wp-image-5764 \" style=\"margin-top: 11px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1573822471051.svg\" alt=\"\" width=\"313\" height=\"313\" \/><\/a><br \/>\n<\/strong><\/span><br \/>\nAre all squares rhombuses?<br \/>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]<strong>Yes<\/strong>, all squares are rhombuses as a square is a quadrilateral with 4 equal-length sides and opposite sides parallel to each other just like a rhombus.[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Quadrilaterals[\/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><span style=\"color: #16a085;\"><strong>Select all rectangles.<\/strong><\/span><br \/>\nRemember: A rectangle has 4 right angles. Its opposite sides are equal and parallel.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/classify-quadrilaterals\"><img loading=\"lazy\" class=\"alignnone wp-image-4665 size-full\" style=\"margin-top: 11px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/15-1.png\" alt=\"Quadrilaterals - Practice Problem 1\" width=\"278\" height=\"276\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/15-1.png 278w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/15-1-150x150.png 150w\" sizes=\"(max-width: 278px) 100vw, 278px\" \/><\/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\/classify-quadrilaterals”][\/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><span style=\"color: #16a085;\"><strong>The family tree shows how the quadrilaterals are connected to each other.<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/classify-quadrilaterals\"><img loading=\"lazy\" class=\"alignnone wp-image-5764\" style=\"margin-top: 11px;\" src=\"https:\/\/cdn.oryxlearning.com\/media_assets\/1573822471051.svg\" alt=\"Quadrilaterals - Practice Problem 2\" width=\"313\" height=\"313\" \/><\/a><br \/>\nSelect whether the below statement is true or false.<br \/>\n<span style=\"color: #16a085;\"><strong>Every trapezoid is a rectangle.<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/classify-quadrilaterals\"><img loading=\"lazy\" class=\"alignnone wp-image-4667 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/16-1.png\" alt=\"\" width=\"206\" height=\"61\" \/><\/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\/classify-quadrilaterals”][\/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><span style=\"color: #16a085;\"><strong>A square has 2 pair of congruent sides.<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/quadrilateral-facts\"><img loading=\"lazy\" class=\"alignnone wp-image-4667 size-full\" style=\"margin-top: 11px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/16-1.png\" alt=\"Quadrilaterals - Practice Problem 3\" width=\"206\" height=\"61\" \/><\/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\/quadrilateral-facts”][\/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><span style=\"color: #16a085;\"><strong>Select all the correct names for this shape.<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/quadrilateral-facts\"><img loading=\"lazy\" class=\"alignnone wp-image-4669 size-full\" style=\"margin-top: 11px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/17-1.png\" alt=\"Quadrilaterals - Practice Problem 4\" width=\"291\" height=\"311\" srcset=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/17-1.png 291w, https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/17-1-281x300.png 281w\" sizes=\"(max-width: 291px) 100vw, 291px\" \/><\/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\/quadrilateral-facts”][\/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>Quadrilateral<\/strong> – a 4-sided figure.<\/p>\n<p><strong>Parallelogram<\/strong> – a 4-sided figure with opposite sides parallel.<\/p>\n<p><strong>Rectangle<\/strong> – a figure with 4 straight sides and 4 right angles.<\/p>\n<p><strong>Square<\/strong> – a figure with 4 equal straight sides and 4 right angles.<\/p>\n<p><strong>Rhombus<\/strong> – a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and 4 equal sides.<\/p>\n<p><strong>Trapezoid<\/strong> – a quadrilateral with only one pair of parallel sides.<\/p>\n<p><strong>Parallel<\/strong> – lines that run alongside one another without intersecting.<\/p>\n<p><strong>Congruent<\/strong> – having the same size and shape.<\/p>\n<p><strong>Right angles<\/strong> – angles that are 90\u00b0.<\/p>\n<p><strong>Acute angles<\/strong> – angles that are less than 90\u00b0.<\/p>\n<p><strong>Obtuse angles<\/strong> – angles that are more than 90\u00b0.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635836277949{border-radius: 10px !important;}”]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/identify-solid-shapes-G2\"><span style=\"color: #ed5600;\">Identify Solid Shapes<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/solid-shapes-faces-edges-and-vertices\"><span style=\"color: #ed5600;\">Solid Shapes – Faces, Edges and Vertices<\/span><br \/>\n<\/a><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/identify-plane-shapes-G2\"><span style=\"color: #ed5600;\">Identify Plane Shapes<\/span><\/a><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/solid-shapes-faces-edges-and-vertices\"><br \/>\n<\/a><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/plane-shapes-sides-and-vertices\"><span style=\"color: #ed5600;\">Plane shapes – Sides and vertices<\/span><\/a><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/solid-shapes-faces-edges-and-vertices\"><br \/>\n<\/a><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/relate-solid-shapes-to-plane-shapes-G2\"><span style=\"color: #ed5600;\">Relate Solid Shapes to Plane Shapes<\/span><\/a><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/solid-shapes-faces-edges-and-vertices\"><br \/>\n<\/a><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/simple-polygons\"><span style=\"color: #ed5600;\">Simple Polygons<\/span><\/a><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/solid-shapes-faces-edges-and-vertices\"><br \/>\n<\/a><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/identify-polygons\"><span style=\"color: #ed5600;\">Identify Polygons<\/span><\/a><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/solid-shapes-faces-edges-and-vertices\"><br \/>\n<\/a><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/lines-segments-and-rays\"><span style=\"color: #ed5600;\">Lines, Segments and Rays<\/span><\/a><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/solid-shapes-faces-edges-and-vertices\"><br \/>\n<\/a><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/parallel-perpendicular-and-intersecting-lines\"><span style=\"color: #ed5600;\">Parallel, Perpendicular and Intersecting Lines<\/span><\/a><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/2nd-grade\/solid-shapes-faces-edges-and-vertices\"><br \/>\n<\/a><a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/congruent-lines\"><span style=\"color: #ed5600;\">Congruent Lines<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635836474175{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: 10px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/identify-three-dimensional-figures\">Identify Three Dimensional Figures<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/faces-edges-and-vertices\">Faces, Edges, and Vertices<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/nets-of-3-dimensional-figures\">Nets of 3 Dimensional Figures<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/open-and-closed-shapes\">Open and Closed Shapes<\/a><\/span><br \/>\n<span style=\"color: #333399;\"><a style=\"color: #333399;\" href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/Identify-Polygons---Word-Problems\">Identify Polygons – Word Problems<\/a><\/span>[\/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″ 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link=”url:https%3A%2F%2Fen.oryxlearning.com%2Ftopics%2Fmaths%2Fmeasurement|title:Measurement||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][\/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″ css=”.vc_custom_1633761494145{border-radius: 1px !important;}”][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] Quadrilaterals [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]In geometry, a quadrilateral is a closed shape that is formed by joining four points among which any three points are non-collinear. A quadrilateral has 4 sides, […]<\/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>Quadrilaterals | Oryx Learning<\/title>\n<meta name=\"description\" content=\"In geometry, a quadrilateral is a closed shape that is formed by joining four points among which any three points are non-collinear...\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/oryxlearning.com\/learn\/quadrilaterals\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Quadrilaterals\" \/>\n<meta property=\"og:description\" content=\"In geometry, a 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