{"id":4446,"date":"2013-06-29T06:10:11","date_gmt":"2013-06-29T06:10:11","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=4446"},"modified":"2026-03-28T11:11:22","modified_gmt":"2026-03-28T16:11:22","slug":"diagonals-of-parallelograms-rectangles-and-rhombi","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/diagonals-of-parallelograms-rectangles-and-rhombi\/","title":{"rendered":"Diagonals of Parallelograms, Rectangles, and Rhombi"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_N7dVPI0t4E8\" 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\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_N7dVPI0t4E8\" data-source-videoID=\"N7dVPI0t4E8\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Diagonals of Parallelograms, Rectangles, and Rhombi Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"Diagonals of Parallelograms, Rectangles, and Rhombi\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_N7dVPI0t4E8:hover {cursor:pointer;} img#videoThumbnailImage_N7dVPI0t4E8 {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/1240-diagonals-of-parallelograms-2.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_N7dVPI0t4E8\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_N7dVPI0t4E8\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.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\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"Diagonals of Parallelograms, Rectangles, and Rhombi\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_N7dVPI0t4E8\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_N7dVPI0t4E8\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_N7dVPI0t4E8\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction kUA_Function() {\n  var x = document.getElementById(\"kUA\");\n  if (x.style.display === \"none\") {\n    x.style.display = \"block\";\n  } else {\n    x.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<div class=\"moc-toc hide-on-desktop hide-on-tablet\">\n<div><button onclick=\"kUA_Function()\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/toc2.svg\" width=\"16\" height=\"16\" alt=\"show or hide table of contents\"><\/button><\/p>\n<p>On this page<\/p>\n<\/div>\n<nav id=\"kUA\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#Types_of_Quadrilaterals\" class=\"smooth-scroll\">Types of Quadrilaterals<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Diagonals_of_a_Parallelogram\" class=\"smooth-scroll\">Diagonals of a Parallelogram<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Diagonals_of_a_Rectangle\" class=\"smooth-scroll\">Diagonals of a Rectangle<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Diagonals_of_a_Rhombus\" class=\"smooth-scroll\">Diagonals of a Rhombus<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Diagonals_of_a_Square\" class=\"smooth-scroll\">Diagonals of a Square<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Review\" class=\"smooth-scroll\">Review<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Practice_Questions\" class=\"smooth-scroll\">Practice Questions<\/a><\/li>\n<\/ul>\n<\/nav>\n<\/div>\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>Hi, and welcome to this video on diagonals! Today we\u2019re going to explore the diagonals of parallelograms, rectangles, rhombi, and squares, and see how these shapes relate to each other overall. Let\u2019s get started!<\/p>\n<p>All of the shapes that we are going to look at today are <strong>quadrilaterals<\/strong>, meaning they are all four-sided polygons. A <strong>polygon<\/strong> is a shape with multiple sides. <\/p>\n<h2><span id=\"Types_of_Quadrilaterals\" class=\"m-toc-anchor\"><\/span>Types of Quadrilaterals<\/h2>\n<h3><span id=\"Properties_of_a_Parallelogram\" class=\"m-toc-anchor\"><\/span>Properties of a Parallelogram<\/h3>\n<p>\nA parallelogram is a quadrilateral that has two sets of parallel sides. The blue arrows denote which sides are parallel to each other. The opposite sides of a parallelogram, marked by green tick marks, are congruent, which means they have the same measure.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-114407 aligncenter\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/1-1.png\" alt=\"A simple parallelogram, which has green tick marks and blue arrows on each side\" width=\"453\" height=\"108\" \/><\/p>\n<h3><span id=\"Properties_of_a_Rectangle\" class=\"m-toc-anchor\"><\/span>Properties of a Rectangle<\/h3>\n<p>\nA rectangle is a shape we all know well since it appears in the real world so often. But one thing we don\u2019t usually think about is that rectangles are just a special kind of parallelogram. That means that the opposite sides are both parallel and congruent, just like our first parallelogram. What makes a rectangle a <strong>special parallelogram<\/strong> is that its interior <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/angles\/\">angles<\/a> are the same. In fact, they are all <strong>right angles<\/strong>, which means they measure 90 degrees. <\/p>\n<h3><span id=\"Properties_of_a_Rhombus\" class=\"m-toc-anchor\"><\/span>Properties of a Rhombus<\/h3>\n<p>\nAnother special parallelogram is a rhombus. It has all the properties of the parallelogram but all of the sides of a rhombus are congruent. Note that the tick marks are all the same, which tells us that all the sides are the same length. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-114404 aligncenter\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/3.png\" alt=\"A rhombus, which has green tick marks and blue arrows on each side\" width=\"365\" height=\"238\" \/><\/p>\n<h3><span id=\"Properties_of_a_Square\" class=\"m-toc-anchor\"><\/span>Properties of a Square<\/h3>\n<p>\nOur last special parallelogram is a rectangle and a rhombus at the same time, so it has the right angles of the rectangle and the congruent sides of the rhombus. It\u2019s another shape we all know well: the square!<\/p>\n<p>As you can see, the opposite sides are parallel, all the angles are right angles, and all the sides are congruent. <\/p>\n<p>So let\u2019s recap our quadrilaterals before we start exploring their diagonals:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-114401 aligncenter\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/5.png\" alt=\"Four shapes with a parallelogram on top, a rectangle and rhombus side-by-side in the middle, and a square at the bottom\" width=\"453\" height=\"417\" \/><\/p>\n<p>Here, we\u2019ve arranged our quadrilaterals into a sort of \u201ctree\u201d, starting with the square as the trunk. Every square is a rhombus and every rhombus is a parallelogram. Every square is also a rectangle and every rectangle is a parallelogram. That\u2019s how it works going up the tree. But it doesn\u2019t work going down. Not every parallelogram is a rectangle and not every rhombus is a square. <\/p>\n<p>Okay, now let\u2019s explore the diagonals of these four quadrilaterals. A diagonal is a line segment connecting opposite vertices, or corners, of a quadrilateral. <\/p>\n<h2><span id=\"Diagonals_of_a_Parallelogram\" class=\"m-toc-anchor\"><\/span>Diagonals of a Parallelogram<\/h2>\n<p>\nHere\u2019s our regular, non-special parallelogram with the diagonals shown:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-114398 aligncenter\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/6.png\" alt=\"A parallelogram with green lines delineating the diagonals\" width=\"553\" height=\"178\" \/><\/p>\n<p>As you can see, the diagonals of a parallelogram bisect each other. In other words, they cut each other in half. We could add some numbers to illustrate this better&#8230; <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-114395 aligncenter\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/7.png\" alt=\"A parallelogram with a blue line and green line delineating the diagonals\" width=\"553\" height=\"178\" \/><\/p>\n<p>or we could use tick marks to show that the diagonals have been bisected: <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-114392 aligncenter\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/8.png\" alt=\"A parallelogram with 2 green lines delineating the diagonals and blue tick marks on each line\" width=\"553\" height=\"178\" \/><\/p>\n<p>Since the three special quadrilaterals we\u2019re talking about are all parallelograms, they will all have bisecting diagonals.<\/p>\n<h2><span id=\"Diagonals_of_a_Rectangle\" class=\"m-toc-anchor\"><\/span>Diagonals of a Rectangle<\/h2>\n<p>\nNow let\u2019s look at the rectangle. Here\u2019s a rectangle with its diagonals:<\/p>\n<p>The diagonals of a rectangle are congruent, and, again, since a rectangle is a parallelogram, the diagonals bisect each other, making each half the same length: <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-114389 aligncenter\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/9_1.png\" alt=\"A rectangle with green diagonal lines 2 blue tick marks on each line\" width=\"553\" height=\"185\" \/><\/p>\n<p>Each diagonal of a rectangle also divides the rectangle into two congruent right triangles: <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-114422 aligncenter\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/10.png\" alt=\"A rectangle is divided into two congruent triangles, one red and one white.\" width=\"553\" height=\"187\" \/><\/p>\n<p>This means that, if we wanted to, we could calculate the length of the diagonal using the <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/pythagorean-theorem\/\">Pythagorean theorem<\/a>. <\/p>\n<h2><span id=\"Diagonals_of_a_Rhombus\" class=\"m-toc-anchor\"><\/span>Diagonals of a Rhombus<\/h2>\n<p>\nNow that we\u2019ve got rectangles figured out, let\u2019s see what happens with another special parallelogram, the rhombus: <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-114413 aligncenter\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/11.png\" alt=\"A rhombus with 2 green diagonal lines and a blue square in the center\" width=\"359\" height=\"254\" \/><\/p>\n<p>Once again, since every rhombus is a parallelogram the diagonals bisect each other. The diagonals are NOT the same size though, so what\u2019s special about this one? Take a look at the angles at which the diagonals intersect. These angles look like they could all be the same, and since there are four angles there it must mean that each angle is 90 degrees! This means that the diagonals of a rhombus are perpendicular to each other <em>in addition to<\/em> bisecting each other. <\/p>\n<h2><span id=\"Diagonals_of_a_Square\" class=\"m-toc-anchor\"><\/span>Diagonals of a Square<\/h2>\n<p>\nOkay, only one quadrilateral left, the square. Remember, the square is a parallelogram, a rectangle, and a rhombus, so it should have all the properties of those shapes: <\/p>\n<ol>\n<li>The diagonals will bisect each other.<\/li>\n<li>The diagonals will be the same length.<\/li>\n<li>The diagonals will be perpendicular to each other. <\/li>\n<\/ol>\n<p>Let\u2019s see if we\u2019re right.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-114410 aligncenter\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/12.png\" alt=\"A square with 2 green diagonal lines, a blue square in the center, and 4 blue tick marks on each green line\" width=\"352\" height=\"352\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/12.png 352w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/12-300x300.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2022\/02\/12-150x150.png 150w\" sizes=\"auto, (max-width: 352px) 100vw, 352px\" \/><\/p>\n<p>We were right! If we look closely, we can also see that the two diagonals cut the square into four congruent isosceles right triangles.<\/p>\n<hr>\n<h2><span id=\"Review\" class=\"m-toc-anchor\"><\/span>Review<\/h2>\n<p>\nNow that we\u2019ve looked at our four parallelograms and their diagonals, let\u2019s finish with a review to see what all you can remember.<\/p>\n<p>Which of the following statements is false?<\/p>\n<ol style=\"list-style: upper-alpha;\">\n<li>Every rectangle is a parallelogram.<\/li>\n<li>Every rhombus is a square. <\/li>\n<li>Every square is a rectangle. <\/li>\n<li>The diagonals of a parallelogram bisect each other. <\/li>\n<li>The diagonals of a rhombus intersect at right angles. <\/li>\n<li>A diagonal of a rectangle divides it into two congruent right triangles. <\/li>\n<li>The diagonals of a rectangle are the same length. <\/li>\n<li>A quadrilateral whose diagonals bisect each other, intersect at right angles, and are congruent must be a square. <\/li>\n<\/ol>\n<div style=\"text-align: center; margin-bottom: 20px;\"><button class=\"buttontranscript\" onClick=\"toggle('Answer1')\">Show Answer<\/button><\/div>\n<div id=\"Answer1\" style=\"display:none; box-shadow: 1.5px 1.5px 5px grey; background-color:#E0E0E0; padding: 30px; padding-bottom: 15px; width: 60%; margin: auto; text-align: center;\">\n<strong>The correct answer is B.<\/strong><\/p>\n<p style=\"text-align: left;\">Remember the tree? Not every rhombus is a square, but every square is a rhombus.<\/p>\n<\/div>\n<p>\n&nbsp;<\/p>\n<p>Thanks for watching, and happy studying!<\/p>\n<ul class=\"citelist\">\n<li><a href=\"https:\/\/www.mathopenref.com\/parallelogramdiags.html\"target=\"_blank\">\u201cParallelogram Diagonals Bisect Each Other &#8211; Math Open Reference.\u201d n.d.<\/a><\/li>\n<li><a href=\"https:\/\/www.mathopenref.com\/rectanglediagonals.html\"target=\"_blank\">\u201cDiagonals of a Rectangle with Calculator &#8211; Math Open Reference.\u201d n.d.<\/a><\/li>\n<li><a href=\"https:\/\/www.mathopenref.com\/rhombusdiagonals.html\"target=\"_blank\">\u201cRhombus Diagonals Bisect Each Other at Right Angles &#8211; Math Open Reference.\u201d n.d.<\/a><\/li>\n<li><a href=\"https:\/\/www.mathopenref.com\/squarediagonals.html\"target=\"_blank\">\u201cDiagonals of a Square with Calculator- Math Open Reference.\u201d n.d.<\/a><\/li>\n<\/ul>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\">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>&nbsp;<br \/>\nWhich statement is false, regarding the diagonal lines drawn through a square? <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-70175 aligncenter\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagonals-of-a-square.png\" alt=\"Diagonals of a square\" width=\"186\" height=\"187\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagonals-of-a-square.png 778w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagonals-of-a-square-298x300.png 298w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagonals-of-a-square-150x150.png 150w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagonals-of-a-square-768x773.png 768w\" sizes=\"auto, (max-width: 186px) 100vw, 186px\" \/><\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">The diagonal lines will be the same length. <\/div><div class=\"PQ\"  id=\"PQ-1-2\">Four congruent isosceles right triangles will be formed. <\/div><div class=\"PQ\"  id=\"PQ-1-3\">The diagonal lines will bisect each other. <\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-4\">Four scalene triangles will be formed. <\/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>When diagonal lines are drawn through a square, three things will be true: the diagonal lines will bisect each other at their midpoints, the diagonal lines will be the same length, and the diagonal lines will create four congruent triangles that are all right isosceles triangles. Four scalene triangles will not be a result of diagonal lines drawn through a square.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-70172 aligncenter\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagonals-of-a-square-with-diagram-of-angles-and-congruent-diagonals.png\" alt=\"Diagonals of a square with diagram of angles and congruent diagonals\" width=\"186\" height=\"178\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagonals-of-a-square-with-diagram-of-angles-and-congruent-diagonals.png 716w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/Diagonals-of-a-square-with-diagram-of-angles-and-congruent-diagonals-300x287.png 300w\" sizes=\"auto, (max-width: 186px) 100vw, 186px\" \/><\/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>&nbsp;<br \/>\nWhich statement is correct? <\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">A parallelogram is always a rectangle.<\/div><div class=\"PQ\"  id=\"PQ-2-2\">A rectangle is always a square. <\/div><div class=\"PQ correct_answer\"  id=\"PQ-2-3\">A rhombus is always a parallelogram.<\/div><div class=\"PQ\"  id=\"PQ-2-4\">A parallelogram is always a rhombus. <\/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>It is true that a rhombus is always a parallelogram. A rhombus has four congruent side lengths, with diagonal lines that are perpendicular to each other. Every square is a rhombus, but not every rhombus is square. <\/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>&nbsp;<br \/>\nWhich definition is NOT accurate for the shape below?<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/09\/area-of-a-rectangle-example-01.svg\" alt=\"Practice problem for the area of a rectangle.\" width=\"330\" height=\"194\" class=\"aligncenter size-full wp-image-196253\"  role=\"img\" \/><\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\">Rectangle<\/div><div class=\"PQ\"  id=\"PQ-3-2\">Quadrilateral<\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-3\">Rhombus<\/div><div class=\"PQ\"  id=\"PQ-3-4\">Parallelogram<\/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 shape can be classified as a rectangle, quadrilateral, or parallelogram. However, this is not a rhombus. A rhombus has all side lengths congruent.<\/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>&nbsp;<br \/>\nSir John Boys House is a historical building in Canterbury. The building is now famous for its uniquely slanted red front door. A carpenter wants to document some of the measurements of the door. Which statement will be true about two diagonal lines measured across from corner to corner?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">Both of the diagonal lines will be the same length. <\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-2\">The diagonal lines will bisect each other at the midpoint of each line. <\/div><div class=\"PQ\"  id=\"PQ-4-3\">The diagonal lines will bisect to form 90 degree angles. <\/div><div class=\"PQ\"  id=\"PQ-4-4\">The diagonal lines will create four right triangles. <\/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 diagonal lines of a parallelogram will bisect each other at the midpoint of each line. This means that each line will be cut in half by the other line.<\/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>&nbsp;<br \/>\nA hail storm has damaged the rectangular shutters on Sean\u2019s house, so he wants to make some repairs. Before he begins the repair job, he wants to make a few measurements. Which statement about the diagonal lines drawn across the windows is incorrect?<\/p>\n<p> <img loading=\"lazy\" decoding=\"async\" class=\" wp-image-70181 aligncenter\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/window-with-diagonals-draw.png\" alt=\"window with diagonals draw\" width=\"308\" height=\"209\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/window-with-diagonals-draw.png 1436w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/window-with-diagonals-draw-300x203.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/window-with-diagonals-draw-1024x695.png 1024w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/03\/window-with-diagonals-draw-768x521.png 768w\" sizes=\"auto, (max-width: 308px) 100vw, 308px\" \/><\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-5-1\">The diagonal lines will create four 90 degree angles in the center of the window where they bisect. <\/div><div class=\"PQ\"  id=\"PQ-5-2\">Both diagonal lines will be congruent.<\/div><div class=\"PQ\"  id=\"PQ-5-3\">The diagonal lines will bisect each other at the midpoint of each line.<\/div><div class=\"PQ\"  id=\"PQ-5-4\">Each of the diagonal lines divides the rectangle into two congruent right triangles. <\/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>If the window frame was a square or a rhombus, the bisecting diagonals would create four 90 degree angles in the center of the window. However, this particular window frame is a rectangular parallelogram, so the bisecting diagonals will not create 90 degree angles.<\/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<p><script>\nfunction toggle(obj) {\n          var obj=document.getElementById(obj);\n          if (obj.style.display == \"block\") obj.style.display = \"none\";\n          else obj.style.display = \"block\";\n}\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Return to Geometry Videos<\/p>\n","protected":false},"author":1,"featured_media":100336,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-4446","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-math-advertising-group","7":"page_category-shape-videos","8":"page_type-video","9":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4446","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=4446"}],"version-history":[{"count":7,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4446\/revisions"}],"predecessor-version":[{"id":260737,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/4446\/revisions\/260737"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/100336"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=4446"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}