{"id":21693,"date":"2016-02-17T21:47:14","date_gmt":"2016-02-17T21:47:14","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=21693"},"modified":"2026-10-22T21:12:30","modified_gmt":"2026-10-23T02:12:30","slug":"intro-to-parallelograms","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/intro-to-parallelograms\/","title":{"rendered":"Intro to Parallelograms"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_F71KHOVB40o\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/png\">\n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_F71KHOVB40o\" data-source-video-id=\"F71KHOVB40o\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Intro to Parallelograms Video\" height=\"720\" width=\"1280\" class=\"size-full\" data-matomo-title=\"Intro to Parallelograms\" style=\"background-size:contain;background-image:url(&quot;https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/04\/Parallelogram-thumb.webp&quot;);\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>#videoThumbnailImage_F71KHOVB40o:hover {cursor:pointer;}<\/style>\n\t\t\t<script defer>\n\t\t\t(function (config) {\n\t\t\t\t\"use strict\";\n\t\t\t\tvar thumbnail = document.getElementById(config.thumbnailId);\n\t\t\t\tvar container = document.getElementById(config.containerId);\n\t\t\t\tif (!thumbnail || !container) { return; }\n\n\t\t\t\tthumbnail.addEventListener(\"click\", function () {\n\t\t\t\t\tvar videoId = thumbnail.getAttribute(\"data-source-video-id\");\n\t\t\t\t\tif (!\/^[A-Za-z0-9_-]{11}$\/.test(videoId)) { return; }\n\n\t\t\t\t\tvar iframe = document.createElement(\"iframe\");\n\t\t\t\t\tiframe.id = \"yt\" + videoId;\n\t\t\t\t\tiframe.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\t\tiframe.frameBorder = \"0\";\n\t\t\t\t\tiframe.allow = \"autoplay; fullscreen\";\n\t\t\t\t\tiframe.width = thumbnail.width;\n\t\t\t\t\tiframe.height = thumbnail.height;\n\t\t\t\t\tiframe.setAttribute(\"data-matomo-title\", config.pageTitle);\n\n\t\t\t\t\tvar help = document.createElement(\"div\");\n\t\t\t\t\thelp.id = config.messageId;\n\t\t\t\t\thelp.style.cssText = \"display:none;position:absolute;top:-24px;width:100%;text-align:center;\";\n\t\t\t\t\tvar helpText = document.createElement(\"span\");\n\t\t\t\t\thelpText.style.cssText = \"font-style:italic;font-size:small;border-top:1px solid #fc0;\";\n\t\t\t\t\thelpText.appendChild(document.createTextNode(\"Having trouble? \"));\n\t\t\t\t\tvar helpLink = document.createElement(\"a\");\n\t\t\t\t\thelpLink.href = \"https:\/\/www.youtube.com\/watch?v=\" + encodeURIComponent(videoId);\n\t\t\t\t\thelpLink.target = \"_blank\";\n\t\t\t\t\thelpLink.rel = \"noopener noreferrer\";\n\t\t\t\t\thelpLink.textContent = \"Click here to watch on YouTube.\";\n\t\t\t\t\thelpText.appendChild(helpLink);\n\t\t\t\t\thelp.appendChild(helpText);\n\n\t\t\t\t\tcontainer.replaceChildren(iframe);\n\t\t\t\t\tcontainer.prepend(help);\n\t\t\t\t\tsetTimeout(function () { help.style.display = \"block\"; }, 2000);\n\t\t\t\t});\n\t\t\t})({\"containerId\":\"mmDeferVideoEncompass_F71KHOVB40o\",\"thumbnailId\":\"videoThumbnailImage_F71KHOVB40o\",\"messageId\":\"mmDeferVideoYTMessage_F71KHOVB40o\",\"pageTitle\":\"Intro to Parallelograms\"});\n\t\t\t<\/script>\n\t\t\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Welcome to this video lesson on common quadrilaterals.<\/p>\n<p>Today, we will go over parallelograms, rectangles, and squares.<\/p>\n<p><strong>Parallelogram:<\/strong> A parallelogram is a quadrilateral where all opposite sides are parallel and of equal length, and all opposite angles are equal.<\/p>\n<p>To find the area of a parallelogram, multiply the length of of the sides, and multiply it by the height. In this case: \\(x \\times h = \\text{area}\\).<\/p>\n<p><strong>Rectangle:<\/strong> A rectangle is a quadrilateral where all angles are equal to 90\u00ba, and all opposite sides are of equal length.  The area of a rectangle is very easy to find, just like a parallelogram, height times width, in this case, \\(x \\times y\\).<\/p>\n<p><strong>Square:<\/strong> A square is a quadrilateral where all side lengths and angle measures are equal.  Since all sides are equal, finding the area is simply a matter of multiplying any side by itself.<\/p>\n<p>I hope that helps. Thanks for watching this video lesson, and until next time, happy studying.<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Parallelogram_Practice_Questions\" class=\"m-toc-anchor\" aria-hidden=\"true\"><\/span>Parallelogram Practice Questions<\/h2>\n\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #1:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>Which of the following is not part of the definition of a parallelogram?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">It is a quadrilateral<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-2\">All angles are right angles<\/div><div class=\"PQ\"  id=\"PQ-1-3\">Opposite sides are parallel and of equal length<\/div><div class=\"PQ\"  id=\"PQ-1-4\">All opposite angles are equal<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-1\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-1-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The definition of a parallelogram is, a quadrilateral where all opposite sides are parallel and of equal length, and all opposite angles are equal.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-1-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #2:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>What is the area of this parallelogram?<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Parallelogram-example-1.svg\" alt=\"A parallelogram with a base of 17 cm and a perpendicular height of 12 cm is shown.\" width=\"258\" height=\"169\" class=\"aligncenter size-full wp-image-274759\" role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">102 cm<sup>2<\/sup><\/div><div class=\"PQ\"  id=\"PQ-2-2\">212 cm<sup>2<\/sup><\/div><div class=\"PQ\"  id=\"PQ-2-3\">119 cm<sup>2<\/sup><\/div><div class=\"PQ correct_answer\"  id=\"PQ-2-4\">204 cm<sup>2<\/sup><\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-2\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-2-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The correct answer is 204 cm<sup>2<\/sup>. The formula of a parallelogram is:<\/p>\n<p style=\"text-align:center\">\n\\(A=bh\\)<\/p>\n<p>The base (\\(b\\)) is 17 cm and the height (\\(h\\)) is 12 cm.<\/p>\n<p style=\"text-align:center\">\n\\(A=(170)(12)=204\\text{ cm}^2\\)<\/p>\n<p>The area of this parallelogram is 204 cm<sup>2<\/sup>.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-2-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #3:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>What shape matches the definition below?<\/p>\n<div class=\"yellow-math-quote\">A quadrilateral where all side lengths and angle measures are equal<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\">Parallelogram<\/div><div class=\"PQ\"  id=\"PQ-3-2\">Rectangle<\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-3\">Square<\/div><div class=\"PQ\"  id=\"PQ-3-4\">Trapezoid<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-3\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-3-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>This is the exact definition of a square. It has all equal sides and all equal angles.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-3-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #4:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>What is the area of a square with a side length of 4 inches?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">24 in<sup>2<\/sup><\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-2\">16 in<sup>2<\/sup><\/div><div class=\"PQ\"  id=\"PQ-4-3\">8 in<sup>2<\/sup><\/div><div class=\"PQ\"  id=\"PQ-4-4\">32 in<sup>2<\/sup><\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-4\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-4-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The formula for area of a square is:<\/p>\n<p style=\"text-align:center\">\\(A=s^2\\)<\/p>\n<p>The length of the side (\\(s\\)) is 4 inches.<\/p>\n<p style=\"text-align:center\">\\(A=(4)^2=16\\text{ in}^2\\)<\/p>\n<p>Therefore, the area of this square is 16 square inches.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-4-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #5:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>What is the area of this rectangle?<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Parallelogram-example-2.svg\" alt=\"A rectangle with a width of 11 feet and a height of 7 feet is shown, labeled with these dimensions.\" width=\"246\" height=\"154\" class=\"aligncenter size-full wp-image-274765\" role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-5-1\">77 ft<sup>2<\/sup><\/div><div class=\"PQ\"  id=\"PQ-5-2\">60 ft<sup>2<\/sup><\/div><div class=\"PQ\"  id=\"PQ-5-3\">36 ft<sup>2<\/sup><\/div><div class=\"PQ\"  id=\"PQ-5-4\">42 ft<sup>2<\/sup><\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-5\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-5-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The correct answer is 77 ft<sup>2<\/sup>. The formula for area of a rectangle is:<\/p>\n<p style=\"text-align:center\">\\(A=lw\\)<\/p>\n<p>The length (\\(l\\)) is 17 feet and the width (\\(w\\)) is 7 feet.<\/p>\n<p style=\"text-align:center\">\\(A=(11)(7)=77\\text{ ft}^2\\)<\/p>\n<p>The area of this rectangle is 77 square feet.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-5-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/geometry\/\">Return to Geometry Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Geometry Videos<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":{"0":"post-21693","1":"page","2":"type-page","3":"status-publish","5":"page_category-math-advertising-group","6":"page_category-shape-videos","7":"subject_matter-math"},"acf":[],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO Pro 5.0.5.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"How do angles and sides make squares and rectangles different from each other? 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