{"id":1637,"date":"2022-04-21T09:42:29","date_gmt":"2022-04-21T09:42:29","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1637"},"modified":"2023-06-13T05:28:34","modified_gmt":"2023-06-13T05:28:34","slug":"parallelogram-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallelogram","title":{"rendered":"Parallelogram &#8211; Definition, Types, Examples, Practice Problems"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-0601fd62-becf-4278-a19d-fcd876d37270\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallelogram#0-what-is-parallelogram>What Is Parallelogram?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallelogram#3-types-of-parallelograms>Types of Parallelograms<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallelogram#4-area-of-a-parallelogram>Area of a Parallelogram<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallelogram#6-solved-examples-on-parallelogram>Solved Examples On Parallelogram<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallelogram#7-practice-problems-on-parallelogram>Practice Problems On Parallelogram<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallelogram#8-frequently-asked-questions-on-parallelogram>Frequently Asked Questions On Parallelogram<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-what-is-parallelogram\">What Is Parallelogram?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>A parallelogram is a special type of <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/quadrilateral\" target=\"_blank\" rel=\"noopener\" title=\"\">quadrilateral<\/a> that has both pairs of opposite sides parallel and equal.&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">The given figure shows a parallelogram ABCD, which has AB II CD and AD II BC. Also, AD = BC and AB = CD.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-style-default eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"155\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-1-01.png\" alt=\"Quadrilateral Parallelogram\" class=\"wp-image-3772\" title=\"Quadrilateral Parallelogram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-1-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-1-01-300x68.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Non-Example:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">A trapezium is a non-example of a parallelogram.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-style-default eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"155\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-2-01.png\" alt=\"Trapezium Parallelogram\" class=\"wp-image-3773\" title=\"Trapezium Parallelogram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-2-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-2-01-300x68.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/identify-kite-rhombuses-and-parallelograms\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/geometry_rhombus_parallelogram_pt.png\" alt=\"Identify Kite, Rhombuses and Parallelograms Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Identify Kite, Rhombuses and Parallelograms Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-real-life-examples-of-a-parallelogram\"><br>Real-Life Examples of a Parallelogram<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">When we look around us, we can see multiple parallelogram-like <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/shape\">shapes<\/a> and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/measurements\/object\">objects<\/a> in the form of buildings, tiles, or paper.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Buildings<\/strong>: Many buildings are constructed, keeping in mind the shape of parallelograms. A famous real-life illustration is the Dockland Office Building in Hamburg, Germany.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Tiles<\/strong>: Tiles come in various shapes and sizes. One of the most found tile shapes is a parallelogram.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-style-default eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"155\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-3-01.png\" alt=\"Tiles in Various shapes of parallelograms\" class=\"wp-image-3774\" title=\"Tiles in Various shapes of parallelograms\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-3-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-3-01-300x68.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Eraser<\/strong>: Everyone is familiar with the classic eraser. Erasers, too, come in several shapes and sizes, one of them being that of a parallelogram. The faces of this eraser are in the shape of a parallelogram.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-style-default eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"155\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-4-01.png\" alt=\"Eraser : a Shape of Parallelogram\" class=\"wp-image-3775\" title=\"Eraser : a Shape of Parallelogram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-4-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-4-01-300x68.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-properties-of-parallelograms\"><br>Properties of Parallelograms<\/h2>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">In a parallelogram, the opposite sides are parallel to each other. Here, AB || CD and AC || BD.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The opposite sides of a parallelogram are equal in length. Here, AB = CD and AC = BD<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The measurement of opposite angles of a parallelogram is equal. Here, \u2220A = \u2220C and \u2220B = \u2220D<\/li>\n\n\n\n<li class=\"eplus-wrapper\">Like all other quadrilaterals, the sum of all the angles of a parallelogram is 360\u00b0.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The adjacent or the adjoining angles of a parallelogram add up to 180\u00b0. Therefore, \u2220A + \u2220B = 180\u00b0, \u2220B + \u2220C = 180\u00b0, \u2220C + \u2220D = 180\u00b0, and \u2220D + \u2220A = 180\u00b0.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The diagonals of a parallelogram bisect each other. Here, OB = OD, and OA = OC.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The diagonals AC and BD in the figure divide the parallelogram into two congruent triangles.<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full is-style-default eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"238\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-5-01.png\" alt=\"Properties of Parallelogram\" class=\"wp-image-3776\" title=\"Properties of Parallelogram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-5-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-5-01-300x105.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-types-of-parallelograms\"><br>Types of Parallelograms<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">There are<strong> <\/strong>three unique kinds of parallelograms:<\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rhombus\">Rhombus<\/a>: A rhombus is a parallelogram in which all sides are equal. Here, AB = BC = CD = DA. ABCD is a rhombus.<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full is-style-default eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"206\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-6-01.png\" alt=\"Rhombus parallelogram\" class=\"wp-image-3777\" title=\"Rhombus parallelogram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-6-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-6-01-300x91.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/square\">Square<\/a>: A square is a parallelogram where all sides and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/diagonal\" target=\"_blank\" rel=\"noopener\" title=\"\">diagonals<\/a> are equal. The angles are <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/right-angle\" target=\"_blank\" rel=\"noopener\" title=\"right angles\">right angles<\/a>. Here, AB = BC = CD = DA and \u2220A = \u2220B =\u2220C =<br>\u2220D = 90 degrees and also AD = BC. ABCD is a square.<\/li>\n<\/ol>\n\n\n<div class=\"wp-block-image is-style-default eplus-wrapper\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"206\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-7-01.png\" alt=\"Square Parallelogram\" class=\"wp-image-3778\" title=\"Square Parallelogram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-7-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-7-01-300x91.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n<\/div>\n\n\n<ol start=\"3\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/rectangle\">Rectangle<\/a>: A rectangle is a parallelogram in which all angles are 90\u00b0, and the diagonals are equal. The opposite sides have equal lengths. Here all angles are right angles. Diagonals PN and OM are equal. MNOP is a rectangle.<\/li>\n<\/ol>\n\n\n\n<figure class=\"wp-block-image size-full is-style-default eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"206\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-8-01.png\" alt=\"Rectangle Parallelogram\" class=\"wp-image-3779\" title=\"Rectangle Parallelogram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-8-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-8-01-300x91.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-area-of-a-parallelogram\">Area of a Parallelogram<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The area of a parallelogram is given by the formula<strong> A = bh<\/strong>, where b is the length of the base, and &#8220;h&#8221; is the height.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-style-default eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"206\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-9-01.png\" alt=\"Area of a Parallelogram\" class=\"wp-image-3780\" title=\"Area of a Parallelogram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-9-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-9-01-300x91.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-the-perimeter-of-a-parallelogram\">The Perimeter of a Parallelogram<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The perimeter of a parallelogram equals the sum of the lengths of the four sides. Since the opposite sides of a parallelogram are equal, its perimeter can also be expressed as 2 x the sum of adjacent sides, i.e., 2 (AB + BC)&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-style-default eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"238\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-10-01.png\" alt=\"Perimeter of a Parallelogram\" class=\"wp-image-3781\" title=\"Perimeter of a Parallelogram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-10-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-10-01-300x105.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">SplashLearn is transforming education for elementary school kids from Kindergarten to Grade 5. SplashLearn motivates kids to study math through highly engaging and personalized programs. Available across all digital platforms, it has been used by over 40 million kids worldwide.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-solved-examples-on-parallelogram\">Solved Examples On Parallelogram<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">In the figure below, ABCD is a parallelogram where \u2220DAB = 75\u00b0 and \u2220CBD = 60\u00b0. Calculate \u2220BDC.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-style-default eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"680\" height=\"238\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-11-01.png\" alt=\"Example of parallelogram\" class=\"wp-image-3782\" title=\"Example of parallelogram\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-11-01.png 680w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/parallelogram-11-01-300x105.png 300w\" sizes=\"auto, (max-width: 680px) 100vw, 680px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">As we know, the opposite angles of a parallelogram are equal. Therefore, \u2220DCB = \u2220DAB = 75\u00b0.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We also know that the sum of the angles of a triangle is 180\u00b0. Now, consider <\/p>\n\n\n\n<p class=\"eplus-wrapper\">\u2206 BCD. Here, \u2220BDC + \u2220DCB + \u2220CBD = 180\u00b0<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that \u2220DCB = \u2220DAB = 75\u00b0. Therefore,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">\u2220BDC + \u2220DCB + \u2220CBD = 180\u00b0<\/p>\n\n\n\n<p class=\"eplus-wrapper\">\u21d2 \u2220BDC + 75\u00b0 + 60\u00b0 = 180\u00b0<\/p>\n\n\n\n<p class=\"eplus-wrapper\">\u21d2 \u2220BDC + 135\u00b0 = 180\u00b0<\/p>\n\n\n\n<p class=\"eplus-wrapper\">\u21d2 \u2220BDC = 180\u00b0 &#8211; 135\u00b0 = 45\u00b0<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Therefore, \u2220BDC = 45\u00b0<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Find the area of this parallelogram with a base of 15 centimeters and a height of 6 centimeters.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">A = b \u00d7 h<\/p>\n\n\n\n<p class=\"eplus-wrapper\">A = (15 cm) \u00d7 (6 cm)<\/p>\n\n\n\n<p class=\"eplus-wrapper\">A = 90 cm<sup>2<\/sup><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 3<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Two adjacent sides of a parallelogram are 5 cm and 3 cm. Find its perimeter.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">We know that opposite sides of a parallelogram are equal.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Suppose we have a parallelogram ABCD, then:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">AB = CD = 5 cm and<\/p>\n\n\n\n<p class=\"eplus-wrapper\">BC = AD = 3 cm<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Perimeter of parallelogram = 2 (AB + BC) = 2 (5 + 3) cm<\/p>\n\n\n\n<p class=\"eplus-wrapper\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;= 16 cm<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-practice-problems-on-parallelogram\">Practice Problems On Parallelogram<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Parallelogram<\/h2><p style=\"display:none;\">Attend this Quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What is the perimeter of a parallelogram ABCD where the two adjacent sides are 12m and 8m, respectively?<\/h3><\/span><div class=\"spq_question_image\"><img decoding=\"async\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image3-14.png\"><\/div><div class=\"spq_answer_block\" data-value=\"0\">40m<\/div><div class=\"spq_answer_block\" data-value=\"1\">20m<\/div><div class=\"spq_answer_block\" data-value=\"2\">4m<\/div><div class=\"spq_answer_block\" data-value=\"3\">30m<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 40m<br\/>Permieter of a parallelogram = 2 x sum of adjacent sides = 2 (12m + 8m) = 40m <\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Which of the following is not a parallelogram?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">Rectangle<\/div><div class=\"spq_answer_block\" data-value=\"1\">Rhombus<\/div><div class=\"spq_answer_block\" data-value=\"2\">Square<\/div><div class=\"spq_answer_block\" data-value=\"3\">Trapezium<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: Trapezium<br\/>A parallelogram has both the pair of opposite sides as parallel and equal, whereas a trapezium has only one pair of parallel sides and no equal sides.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">In a parallelogram ABCD, if \u2220A = 60\u00b0, then \u2220D is equal to<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">140\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"1\">130\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"2\">120\u00b0<\/div><div class=\"spq_answer_block\" data-value=\"3\">110\u00b0<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 120\u00b0<br\/>Opposite angles of a parallelogram are equal. So \u2220A = \u2220C = 60\u00b0 and also \u2220B = \u2220D <br>\r\nAlso, \u2220A + \u2220B + \u2220C + \u2220D = 360\u00b0 <br>\r\n60\u00b0 + \u2220B + 60\u00b0 + \u2220D = 360\u00b0 <br>\r\n120\u00b0 + \u2220B + \u2220D = 360\u00b0 <br>\r\n\u2220B + \u2220D = 240\u00b0 and \u2220B = \u2220D <br>\r\nTherefore, \u2220D = 120\u00b0<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this Quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Parallelogram\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Parallelogram\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What is the perimeter of a parallelogram ABCD where the two adjacent sides are 12m and 8m, respectively?\",\n                    \"text\": \"What is the perimeter of a parallelogram ABCD where the two adjacent sides are 12m and 8m, respectively? <img src=\\\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/05\/image3-14.png\\\"\/>\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Permieter of a parallelogram = 2 x sum of adjacent sides = 2 (12m + 8m) = 40m \"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"20m\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Permieter of a parallelogram = 2 x sum of adjacent sides = 2 (12m + 8m) = 40m \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4m\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Permieter of a parallelogram = 2 x sum of adjacent sides = 2 (12m + 8m) = 40m \"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"30m\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Permieter of a parallelogram = 2 x sum of adjacent sides = 2 (12m + 8m) = 40m \"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"40m\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Permieter of a parallelogram = 2 x sum of adjacent sides = 2 (12m + 8m) = 40m \"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Permieter of a parallelogram = 2 x sum of adjacent sides = 2 (12m + 8m) = 40m \"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following is not a parallelogram?\",\n                    \"text\": \"Which of the following is not a parallelogram?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"A parallelogram has both the pair of opposite sides as parallel and equal, whereas a trapezium has only one pair of parallel sides and no equal sides.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Rectangle\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A parallelogram has both the pair of opposite sides as parallel and equal, whereas a trapezium has only one pair of parallel sides and no equal sides.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Rhombus\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A parallelogram has both the pair of opposite sides as parallel and equal, whereas a trapezium has only one pair of parallel sides and no equal sides.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Square\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"A parallelogram has both the pair of opposite sides as parallel and equal, whereas a trapezium has only one pair of parallel sides and no equal sides.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"Trapezium\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"A parallelogram has both the pair of opposite sides as parallel and equal, whereas a trapezium has only one pair of parallel sides and no equal sides.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"A parallelogram has both the pair of opposite sides as parallel and equal, whereas a trapezium has only one pair of parallel sides and no equal sides.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"In a parallelogram ABCD, if \u2220A = 60\u00b0, then \u2220D is equal to\",\n                    \"text\": \"In a parallelogram ABCD, if \u2220A = 60\u00b0, then \u2220D is equal to\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Opposite angles of a parallelogram are equal. So \u2220A = \u2220C = 60\u00b0 and also \u2220B = \u2220D <br>\r\nAlso, \u2220A + \u2220B + \u2220C + \u2220D = 360\u00b0 <br>\r\n60\u00b0 + \u2220B + 60\u00b0 + \u2220D = 360\u00b0 <br>\r\n120\u00b0 + \u2220B + \u2220D = 360\u00b0 <br>\r\n\u2220B + \u2220D = 240\u00b0 and \u2220B = \u2220D <br>\r\nTherefore, \u2220D = 120\u00b0\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"140\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Opposite angles of a parallelogram are equal. So \u2220A = \u2220C = 60\u00b0 and also \u2220B = \u2220D <br>\r\nAlso, \u2220A + \u2220B + \u2220C + \u2220D = 360\u00b0 <br>\r\n60\u00b0 + \u2220B + 60\u00b0 + \u2220D = 360\u00b0 <br>\r\n120\u00b0 + \u2220B + \u2220D = 360\u00b0 <br>\r\n\u2220B + \u2220D = 240\u00b0 and \u2220B = \u2220D <br>\r\nTherefore, \u2220D = 120\u00b0\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"130\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Opposite angles of a parallelogram are equal. So \u2220A = \u2220C = 60\u00b0 and also \u2220B = \u2220D <br>\r\nAlso, \u2220A + \u2220B + \u2220C + \u2220D = 360\u00b0 <br>\r\n60\u00b0 + \u2220B + 60\u00b0 + \u2220D = 360\u00b0 <br>\r\n120\u00b0 + \u2220B + \u2220D = 360\u00b0 <br>\r\n\u2220B + \u2220D = 240\u00b0 and \u2220B = \u2220D <br>\r\nTherefore, \u2220D = 120\u00b0\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"110\u00b0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Opposite angles of a parallelogram are equal. So \u2220A = \u2220C = 60\u00b0 and also \u2220B = \u2220D <br>\r\nAlso, \u2220A + \u2220B + \u2220C + \u2220D = 360\u00b0 <br>\r\n60\u00b0 + \u2220B + 60\u00b0 + \u2220D = 360\u00b0 <br>\r\n120\u00b0 + \u2220B + \u2220D = 360\u00b0 <br>\r\n\u2220B + \u2220D = 240\u00b0 and \u2220B = \u2220D <br>\r\nTherefore, \u2220D = 120\u00b0\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"120\u00b0\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Opposite angles of a parallelogram are equal. So \u2220A = \u2220C = 60\u00b0 and also \u2220B = \u2220D <br>\r\nAlso, \u2220A + \u2220B + \u2220C + \u2220D = 360\u00b0 <br>\r\n60\u00b0 + \u2220B + 60\u00b0 + \u2220D = 360\u00b0 <br>\r\n120\u00b0 + \u2220B + \u2220D = 360\u00b0 <br>\r\n\u2220B + \u2220D = 240\u00b0 and \u2220B = \u2220D <br>\r\nTherefore, \u2220D = 120\u00b0\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Opposite angles of a parallelogram are equal. So \u2220A = \u2220C = 60\u00b0 and also \u2220B = \u2220D <br>\r\nAlso, \u2220A + \u2220B + \u2220C + \u2220D = 360\u00b0 <br>\r\n60\u00b0 + \u2220B + 60\u00b0 + \u2220D = 360\u00b0 <br>\r\n120\u00b0 + \u2220B + \u2220D = 360\u00b0 <br>\r\n\u2220B + \u2220D = 240\u00b0 and \u2220B = \u2220D <br>\r\nTherefore, \u2220D = 120\u00b0\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-frequently-asked-questions-on-parallelogram\"><strong>Frequently Asked Questions<\/strong> On Parallelogram<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-3c11f0d7-7323-436a-a371-c4a10e278c75\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-3c11f0d7-7323-436a-a371-c4a10e278c75\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3c11f0d7-7323-436a-a371-c4a10e278c75\"><strong>Is a trapezium a parallelogram?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-3c11f0d7-7323-436a-a371-c4a10e278c75\">\n\n<p class=\"eplus-wrapper\">No, a trapezium is not a parallelogram because there are two pairs of parallel sides in a parallelogram, whereas a trapezium has only one pair of parallel sides.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-3c11f0d7-7323-436a-a371-c4a10e278c75\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3c11f0d7-7323-436a-a371-c4a10e278c75\"><strong>Are all rectangles parallelograms?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-3c11f0d7-7323-436a-a371-c4a10e278c75\">\n\n<p class=\"eplus-wrapper\">Yes, all rectangles are parallelograms because a rectangle has two sets of parallel sides and two pairs of opposite sides that are equal. Therefore, it abides by all the properties of a parallelogram.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-3c11f0d7-7323-436a-a371-c4a10e278c75\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3c11f0d7-7323-436a-a371-c4a10e278c75\"><strong>Are all parallelograms rectangles?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-3c11f0d7-7323-436a-a371-c4a10e278c75\">\n\n<p class=\"eplus-wrapper\">No, a parallelogram is not always a rectangle. In a rectangle, all angles must be equal to 90\u00b0. But for a parallelogram, no angles need to be equal to 90\u00b0.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-3c11f0d7-7323-436a-a371-c4a10e278c75\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3c11f0d7-7323-436a-a371-c4a10e278c75\"><strong>Do diagonals of a parallelogram always bisect each other?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-3c11f0d7-7323-436a-a371-c4a10e278c75\">\n\n<p class=\"eplus-wrapper\">Yes, diagonals of a parallelogram always bisect each other.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-4-3c11f0d7-7323-436a-a371-c4a10e278c75\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-3c11f0d7-7323-436a-a371-c4a10e278c75\"><strong>Is it necessary that all sides be equal in a quadrilateral to be a parallelogram?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-4-3c11f0d7-7323-436a-a371-c4a10e278c75\">\n\n<p class=\"eplus-wrapper\">No, a parallelogram does not have all sides equal. Only opposite sides of a parallelogram are equal.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What Is Parallelogram? A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.&nbsp; The given figure shows a parallelogram ABCD, which has AB II CD and AD II BC. Also, AD = BC and AB = CD. Non-Example: A trapezium is a non-example of a parallelogram. Recommended &#8230; <a title=\"Parallelogram &#8211; Definition, Types, Examples, Practice Problems\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/geometry\/parallelogram\" aria-label=\"More on Parallelogram &#8211; Definition, Types, Examples, Practice Problems\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-1637","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1637","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=1637"}],"version-history":[{"count":17,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1637\/revisions"}],"predecessor-version":[{"id":30458,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1637\/revisions\/30458"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1637"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1637"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1637"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}