{"id":154618,"date":"2022-03-25T23:44:05","date_gmt":"2022-03-25T18:14:05","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/diagonal-in-geometry-explanation-definitions-formula-properties\/"},"modified":"2023-01-02T18:03:03","modified_gmt":"2023-01-02T12:33:03","slug":"diagonal-in-geometry-explanation-definitions-formula-properties","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/diagonal-in-geometry\/","title":{"rendered":"Diagonal in Geometry &#8211; Explanation, Definitions, Formula, Properties"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonal-in-geometry\/#What_is_Diagonal\" title=\"What is Diagonal?\">What is Diagonal?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonal-in-geometry\/#Key_Definitions_to_Remember_While_learning_Diagonals\" title=\"Key Definitions to Remember While learning Diagonals\">Key Definitions to Remember While learning Diagonals<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonal-in-geometry\/#Number_of_Diagonals_in_a_Polygon\" title=\"Number of Diagonals in a Polygon\">Number of Diagonals in a Polygon<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonal-in-geometry\/#Diagonal_of_a_Polygon_Formula\" title=\"Diagonal of a Polygon Formula\">Diagonal of a Polygon Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonal-in-geometry\/#Diagonal_of_a_Square\" title=\"Diagonal of a Square\">Diagonal of a Square<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonal-in-geometry\/#Properties_of_the_Diagonals_in_a_Square\" title=\"Properties of the Diagonals in a Square\">Properties of the Diagonals in a Square<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonal-in-geometry\/#Diagonal_of_a_Rectangle\" title=\"Diagonal of a Rectangle\">Diagonal of a Rectangle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonal-in-geometry\/#Diagonal_of_a_Rhombus\" title=\"Diagonal of a Rhombus\">Diagonal of a Rhombus<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonal-in-geometry\/#Diagonal_of_a_Parallelogram\" title=\"Diagonal of a Parallelogram\">Diagonal of a Parallelogram<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonal-in-geometry\/#Diagonal_of_Parallelogram\" title=\"Diagonal of Parallelogram\">Diagonal of Parallelogram<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonal-in-geometry\/#d12_d22_2a2b2\" title=\"d12 + d22  = 2(a2+b2)\">d12 + d22  = 2(a2+b2)<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"What_is_Diagonal\"><\/span>What is Diagonal?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A diagonal is a line segment that connects two opposite corners of a polygon or polyhedron.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-154617 size-medium\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/diagonal-in-geometry-explanation-definitions-formula-properties-300x212.jpg\" alt=\"Diagonal in Geometry\" width=\"300\" height=\"212\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/diagonal-in-geometry-explanation-definitions-formula-properties-300x212.jpg?v=1648232042 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/diagonal-in-geometry-explanation-definitions-formula-properties.jpg?v=1648232042 606w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Key_Definitions_to_Remember_While_learning_Diagonals\"><\/span>Key Definitions to Remember While learning Diagonals<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A diagonal line is a line that is not horizontal or vertical. It is a line that goes from one corner of a square to another corner.<\/p>\n<p>A diagonal is a line that goes from one corner of a square to another corner.<\/p>\n<p>A square has four diagonals.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Number_of_Diagonals_in_a_Polygon\"><\/span>Number of Diagonals in a Polygon<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A polygon is a closed figure formed by a finite number of straight line segments that are joined end to end. A polygon has at least 3 sides and at most 5 sides. A polygon has at least 3 diagonals and at most 8 diagonals.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Diagonal_of_a_Polygon_Formula\"><\/span>Diagonal of a Polygon Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The diagonal of a polygon is a line segment that connects any two opposite vertices. The length of the diagonal is the length of the hypotenuse of a right triangle whose other two sides are the length of the polygon&#8217;s sides.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Diagonal_of_a_Square\"><\/span>Diagonal of a Square<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The diagonal of a square is the length of the hypotenuse of a right triangle with the base of the triangle being the length of one side of the square and the height of the triangle being the length of the other side of the square.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Properties_of_the_Diagonals_in_a_Square\"><\/span>Properties of the Diagonals in a Square<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The diagonals in a square are both the same length and they are perpendicular to each other.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Diagonal_of_a_Rectangle\"><\/span>Diagonal of a Rectangle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The diagonal of a rectangle is the line segment that connects the opposite corners. The length of the diagonal is the length of a side of the rectangle multiplied by the square root of 2.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Diagonal_of_a_Rhombus\"><\/span>Diagonal of a Rhombus<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The diagonal of a rhombus is the line segment that connects two opposite vertices of the rhombus.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Diagonal_of_a_Parallelogram\"><\/span>Diagonal of a Parallelogram<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The diagonal of a parallelogram is the line segment that connects two opposite corners of the parallelogram.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Diagonal_of_Parallelogram\"><\/span>Diagonal of Parallelogram<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The diagonal of a parallelogram is a line segment that connects two opposite vertices.<\/p>\n<h2>d12 + d22  = 2(a2+b2)<\/h2>\n<p>d12 + d22 = 4a2<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is Diagonal? A diagonal is a line segment that connects two opposite corners of a polygon or polyhedron. Key [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Diagonal in Geometry","_yoast_wpseo_title":"%%title%% %%page%%","_yoast_wpseo_metadesc":"Learn about diagonal in geometry topic of maths in details explained by subject experts on infinitylearn.com.","custom_permalink":"maths\/diagonal-in-geometry\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Diagonal in Geometry - Explanation, Definitions, Formula, Properties<\/title>\n<meta name=\"description\" content=\"Learn about diagonal in geometry topic of maths in details explained by subject experts on infinitylearn.com.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/diagonal-in-geometry\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Diagonal in Geometry - 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