What are the 4 properties of parallelograms?

{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2016-03-26T20:24:43+00:00","modifiedTime":"2016-03-26T20:24:43+00:00","timestamp":"2022-09-14T18:08:49+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"//dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Math","_links":{"self":"//dummies-api.dummies.com/v2/categories/33720"},"slug":"math","categoryId":33720},{"name":"Geometry","_links":{"self":"//dummies-api.dummies.com/v2/categories/33725"},"slug":"geometry","categoryId":33725}],"title":"Properties of Parallelograms","strippedTitle":"properties of parallelograms","slug":"properties-of-parallelograms","canonicalUrl":"","seo":{"metaDescription":"The properties of the parallelogram are simply those things that are true about it. These properties concern its sides, angles, and diagonals. The parallelogram","noIndex":0,"noFollow":0},"content":"<p>The properties of the parallelogram are simply those things that are true about it. These properties concern its sides, angles, and diagonals.</p>\n<p>The parallelogram has the following properties:</p>\n<ul class=\"level-one\">\n <li><p class=\"first-para\">Opposite sides are parallel by definition.</p>\n </li>\n <li><p class=\"first-para\">Opposite sides are congruent.</p>\n </li>\n <li><p class=\"first-para\">Opposite angles are congruent.</p>\n </li>\n <li><p class=\"first-para\">Consecutive angles are supplementary.</p>\n </li>\n <li><p class=\"first-para\">The diagonals bisect each other.</p>\n </li>\n</ul>\n<p>If you just look at a parallelogram, the things that look true (namely, the things on this list) are true and are thus properties, and the things that don’t look like they’re true aren’t properties. </p>\n<p class=\"Warning\">If you draw a picture to help you figure out a quadrilateral’s properties, make your sketch as general as possible. For instance, as you sketch your parallelogram, make sure it’s not almost a rhombus (with four sides that are almost congruent) or almost a rectangle (with four angles close to right angles). If your parallelogram sketch is close to, say, a rectangle, something that’s true for rectangles but not true for all parallelograms (such as congruent diagonals) may look true and thus cause you to mistakenly conclude that it’s a property of parallelograms. Capiche?</p>\n<img src=\"//sg.cdnki.com/what-are-the-4-properties-of-parallelograms---aHR0cHM6Ly93d3cuZHVtbWllcy5jb20vd3AtY29udGVudC91cGxvYWRzLzI3Mjg0My5pbWFnZTAuanBn.webp\" width=\"535\" height=\"154\" alt=\"image0.jpg\"/>\n<p>Imagine that you can’t remember the properties of a parallelogram. You could just sketch one (as in the above figure) and run through all things that might be properties. (Note that this parallelogram does not come close to resembling a rectangle of a rhombus.)</p>\n<p>The following questions concern the sides of a parallelogram (refer to the preceding figure).</p>\n<ul class=\"level-one\">\n <li><p class=\"first-para\">Do the sides appear to be congruent?</p>\n<p class=\"child-para\">Yes, opposite sides look congruent, and that’s a property. But adjacent sides don’t look congruent, and that’s <i>not</i> a property.</p>\n </li>\n <li><p class=\"first-para\">Do the sides appear to be parallel?</p>\n<p class=\"child-para\">Yes, opposite sides look parallel (and of course, you know this property if you know the definition of a parallelogram).</p>\n </li>\n</ul>\n<p>The following questions explore the angles of a parallelogram (refer to the figure again).</p>\n<ul class=\"level-one\">\n <li><p class=\"first-para\">Do any angles appear to be congruent?</p>\n<p class=\"child-para\">Yes, opposite angles look congruent, and that’s a property. (Angles <i>A</i> and <i>C</i> appear to be about 45°, and angles <i>B</i> and <i>D</i> look like about 135°).</p>\n </li>\n <li><p class=\"first-para\">Do any angles appear to be supplementary?</p>\n<p class=\"child-para\">Yes, consecutive angles (like angles <i>A</i> and <i>B</i>) look like they’re supplementary, and that’s a property. (Using parallel lines </p>\n<img src=\"//sg.cdnki.com/what-are-the-4-properties-of-parallelograms---aHR0cHM6Ly93d3cuZHVtbWllcy5jb20vd3AtY29udGVudC91cGxvYWRzLzI3Mjg0NC5pbWFnZTEucG5n.webp\" width=\"215\" height=\"25\" alt=\"image1.png\"/>\n<p class=\"child-para\">angles <i>A</i> and <i>B</i> are same-side interior angles and are therefore supplementary.)</p>\n </li>\n <li><p class=\"first-para\">Do any angles appear to be right angles?</p>\n<p class=\"child-para\">Obviously not, and that’s not a property.</p>\n </li>\n</ul>\n<p>The following questions address statements about the diagonals of a parallelogram</p>\n<ul class=\"level-one\">\n <li><p class=\"first-para\">Do the diagonals appear to be congruent?</p>\n<p class=\"child-para\">Not even close (in the above figure, one is roughly twice as long as the other, which surprises most people) — not a property.</p>\n </li>\n <li><p class=\"first-para\">Do the diagonals appear to be perpendicular?</p>\n<p class=\"child-para\">Not even close; not a property.</p>\n </li>\n <li><p class=\"first-para\">Do the diagonals appear to be bisecting each other?</p>\n<p class=\"child-para\">Yes, each one seems to cut the other in half, and that’s a property.</p>\n </li>\n <li><p class=\"first-para\">Do the diagonals appear to be bisecting the angles whose vertices they meet?</p>\n<p class=\"child-para\">No.</p>\n<img src=\"//sg.cdnki.com/what-are-the-4-properties-of-parallelograms---aHR0cHM6Ly93d3cuZHVtbWllcy5jb20vd3AtY29udGVudC91cGxvYWRzLzI3Mjg0NS5pbWFnZTIucG5n.webp\" width=\"509\" height=\"73\" alt=\"image2.png\"/>\n<p class=\"child-para\">Not a property.</p>\n </li>\n</ul>","description":"<p>The properties of the parallelogram are simply those things that are true about it. These properties concern its sides, angles, and diagonals.</p>\n<p>The parallelogram has the following properties:</p>\n<ul class=\"level-one\">\n <li><p class=\"first-para\">Opposite sides are parallel by definition.</p>\n </li>\n <li><p class=\"first-para\">Opposite sides are congruent.</p>\n </li>\n <li><p class=\"first-para\">Opposite angles are congruent.</p>\n </li>\n <li><p class=\"first-para\">Consecutive angles are supplementary.</p>\n </li>\n <li><p class=\"first-para\">The diagonals bisect each other.</p>\n </li>\n</ul>\n<p>If you just look at a parallelogram, the things that look true (namely, the things on this list) are true and are thus properties, and the things that don’t look like they’re true aren’t properties. </p>\n<p class=\"Warning\">If you draw a picture to help you figure out a quadrilateral’s properties, make your sketch as general as possible. For instance, as you sketch your parallelogram, make sure it’s not almost a rhombus (with four sides that are almost congruent) or almost a rectangle (with four angles close to right angles). If your parallelogram sketch is close to, say, a rectangle, something that’s true for rectangles but not true for all parallelograms (such as congruent diagonals) may look true and thus cause you to mistakenly conclude that it’s a property of parallelograms. Capiche?</p>\n<img src=\"//www.dummies.com/wp-content/uploads/272843.image0.jpg\" width=\"535\" height=\"154\" alt=\"image0.jpg\"/>\n<p>Imagine that you can’t remember the properties of a parallelogram. You could just sketch one (as in the above figure) and run through all things that might be properties. (Note that this parallelogram does not come close to resembling a rectangle of a rhombus.)</p>\n<p>The following questions concern the sides of a parallelogram (refer to the preceding figure).</p>\n<ul class=\"level-one\">\n <li><p class=\"first-para\">Do the sides appear to be congruent?</p>\n<p class=\"child-para\">Yes, opposite sides look congruent, and that’s a property. But adjacent sides don’t look congruent, and that’s <i>not</i> a property.</p>\n </li>\n <li><p class=\"first-para\">Do the sides appear to be parallel?</p>\n<p class=\"child-para\">Yes, opposite sides look parallel (and of course, you know this property if you know the definition of a parallelogram).</p>\n </li>\n</ul>\n<p>The following questions explore the angles of a parallelogram (refer to the figure again).</p>\n<ul class=\"level-one\">\n <li><p class=\"first-para\">Do any angles appear to be congruent?</p>\n<p class=\"child-para\">Yes, opposite angles look congruent, and that’s a property. (Angles <i>A</i> and <i>C</i> appear to be about 45°, and angles <i>B</i> and <i>D</i> look like about 135°).</p>\n </li>\n <li><p class=\"first-para\">Do any angles appear to be supplementary?</p>\n<p class=\"child-para\">Yes, consecutive angles (like angles <i>A</i> and <i>B</i>) look like they’re supplementary, and that’s a property. (Using parallel lines </p>\n<img src=\"//www.dummies.com/wp-content/uploads/272844.image1.png\" width=\"215\" height=\"25\" alt=\"image1.png\"/>\n<p class=\"child-para\">angles <i>A</i> and <i>B</i> are same-side interior angles and are therefore supplementary.)</p>\n </li>\n <li><p class=\"first-para\">Do any angles appear to be right angles?</p>\n<p class=\"child-para\">Obviously not, and that’s not a property.</p>\n </li>\n</ul>\n<p>The following questions address statements about the diagonals of a parallelogram</p>\n<ul class=\"level-one\">\n <li><p class=\"first-para\">Do the diagonals appear to be congruent?</p>\n<p class=\"child-para\">Not even close (in the above figure, one is roughly twice as long as the other, which surprises most people) — not a property.</p>\n </li>\n <li><p class=\"first-para\">Do the diagonals appear to be perpendicular?</p>\n<p class=\"child-para\">Not even close; not a property.</p>\n </li>\n <li><p class=\"first-para\">Do the diagonals appear to be bisecting each other?</p>\n<p class=\"child-para\">Yes, each one seems to cut the other in half, and that’s a property.</p>\n </li>\n <li><p class=\"first-para\">Do the diagonals appear to be bisecting the angles whose vertices they meet?</p>\n<p class=\"child-para\">No.</p>\n<img src=\"//www.dummies.com/wp-content/uploads/272845.image2.png\" width=\"509\" height=\"73\" alt=\"image2.png\"/>\n<p class=\"child-para\">Not a property.</p>\n </li>\n</ul>","blurb":"","authors":[{"authorId":8957,"name":"Mark Ryan","slug":"mark-ryan","description":" <p><b>Mark Ryan</b> has taught pre&#45;algebra through calculus for more than 25 years. In 1997, he founded The Math Center in Winnetka, Illinois, where he teaches junior high and high school mathematics courses as well as standardized test prep classes. He also does extensive one&#45;on&#45;one tutoring. He is a member of the Authors Guild and the National Council of Teachers of Mathematics. ","hasArticle":false,"_links":{"self":"//dummies-api.dummies.com/v2/authors/8957"}}],"primaryCategoryTaxonomy":{"categoryId":33725,"title":"Geometry","slug":"geometry","_links":{"self":"//dummies-api.dummies.com/v2/categories/33725"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[],"relatedArticles":{"fromBook":[],"fromCategory":[{"articleId":230077,"title":"How to Copy an Angle Using a Compass","slug":"copy-angle-using-compass","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"//dummies-api.dummies.com/v2/articles/230077"}},{"articleId":230072,"title":"How to Copy a Line Segment Using a Compass","slug":"copy-line-segment-using-compass","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"//dummies-api.dummies.com/v2/articles/230072"}},{"articleId":230069,"title":"How to Find the Right Angle to Two Points","slug":"find-right-angle-two-points","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"//dummies-api.dummies.com/v2/articles/230069"}},{"articleId":230066,"title":"Find the Locus of Points Equidistant from Two Points","slug":"find-locus-points-equidistant-two-points","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"//dummies-api.dummies.com/v2/articles/230066"}},{"articleId":230063,"title":"How to Solve a Two-Dimensional Locus Problem","slug":"solve-two-dimensional-locus-problem","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"//dummies-api.dummies.com/v2/articles/230063"}}]},"hasRelatedBookFromSearch":true,"relatedBook":{"bookId":292794,"slug":"geometry-essentials-for-dummies","isbn":"9781119590446","categoryList":["academics-the-arts","math","geometry"],"amazon":{"default":"//www.amazon.com/gp/product/1119590442/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"//www.amazon.ca/gp/product/1119590442/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"//www.tkqlhce.com/click-9208661-13710633?url=//www.chapters.indigo.ca/en-ca/books/product/1119590442-item.html&cjsku=978111945484","gb":"//www.amazon.co.uk/gp/product/1119590442/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"//www.amazon.de/gp/product/1119590442/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"//catalogimages.wiley.com/images/db/jimages/9781119590446.jpg","width":250,"height":350},"title":"Geometry Essentials For Dummies","testBankPinActivationLink":"","bookOutOfPrint":false,"authorsInfo":"\n <p><p><b><b data-author-id=\"8957\">Mark Ryan</b></b> is the owner of The Math Center in Chicago, Illinois, where he teaches students in all levels of mathematics, from pre&#45;algebra to calculus. He is the author of <i>Calculus For Dummies</i> and <i> Geometry For Dummies.</i></p>","authors":[{"authorId":8957,"name":"Mark Ryan","slug":"mark-ryan","description":" <p><b>Mark Ryan</b> is the owner of The Math Center in Chicago, Illinois, where he teaches students in all levels of mathematics, from pre&#45;algebra to calculus. He is the author of <i>Calculus For Dummies</i> and <i> Geometry For Dummies.</i> ","hasArticle":false,"_links":{"self":"//dummies-api.dummies.com/v2/authors/8957"}}],"_links":{"self":"//dummies-api.dummies.com/v2/books/292794"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;math&quot;,&quot;geometry&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[null]}]\" id=\"du-slot-632218b18c390\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{&quot;key&quot;:&quot;cat&quot;,&quot;values&quot;:[&quot;academics-the-arts&quot;,&quot;math&quot;,&quot;geometry&quot;]},{&quot;key&quot;:&quot;isbn&quot;,&quot;values&quot;:[null]}]\" id=\"du-slot-632218b18cc0e\"></div></div>"},"articleType":{"articleType":"Articles","articleList":null,"content":null,"videoInfo":{"videoId":null,"name":null,"accountId":null,"playerId":null,"thumbnailUrl":null,"description":null,"uploadDate":null}},"sponsorship":{"sponsorshipPage":false,"backgroundImage":{"src":null,"width":0,"height":0},"brandingLine":"","brandingLink":"","brandingLogo":{"src":null,"width":0,"height":0},"sponsorAd":"","sponsorEbookTitle":"","sponsorEbookLink":"","sponsorEbookImage":{"src":null,"width":0,"height":0}},"primaryLearningPath":"Advance","lifeExpectancy":null,"lifeExpectancySetFrom":null,"dummiesForKids":"no","sponsoredContent":"no","adInfo":"","adPairKey":[]},"status":"publish","visibility":"public","articleId":187547},"articleLoadedStatus":"success"},"listState":{"list":{},"objectTitle":"","status":"initial","pageType":null,"objectId":null,"page":1,"sortField":"time","sortOrder":1,"categoriesIds":[],"articleTypes":[],"filterData":{},"filterDataLoadedStatus":"initial","pageSize":10},"adsState":{"pageScripts":{"headers":{"timestamp":"2022-11-21T10:50:01+00:00"},"adsId":0,"data":{"scripts":[{"pages":["all"],"location":"header","script":"<!--Optimizely Script-->\r\n<script src=\"//cdn.optimizely.com/js/10563184655.js\"></script>","enabled":false},{"pages":["all"],"location":"header","script":"<!-- comScore Tag -->\r\n<script>var _comscore = _comscore || [];_comscore.push({ c1: \"2\", c2: \"15097263\" });(function() {var s = document.createElement(\"script\"), el = document.getElementsByTagName(\"script\")[0]; s.async = true;s.src = (document.location.protocol == \"\" ? \"//sb\" : \"//b\") + \".scorecardresearch.com/beacon.js\";el.parentNode.insertBefore(s, el);})();</script><noscript><img src=\"//sb.scorecardresearch.com/p?c1=2&c2=15097263&cv=2.0&cj=1\" /></noscript>\r\n<!-- / comScore Tag -->","enabled":true},{"pages":["all"],"location":"footer","script":"<!--BEGIN QUALTRICS WEBSITE FEEDBACK SNIPPET-->\r\n<script type='text/javascript'>\r\n(function(){var g=function(e,h,f,g){\r\nthis.get=function(a){for(var a=a+\"=\",c=document.cookie.split(\";\"),b=0,e=c.length;b<e;b++){for(var d=c[b];\" \"==d.charAt(0);)d=d.substring(1,d.length);if(0==d.indexOf(a))return d.substring(a.length,d.length)}return null};\r\nthis.set=function(a,c){var b=\"\",b=new Date;b.setTime(b.getTime()+6048E5);b=\"; expires=\"+b.toGMTString();document.cookie=a+\"=\"+c+b+\"; path=/; \"};\r\nthis.check=function(){var a=this.get(f);if(a)a=a.split(\":\");else if(100!=e)\"v\"==h&&(e=Math.random()>=e/100?0:100),a=[h,e,0],this.set(f,a.join(\":\"));else return!0;var c=a[1];if(100==c)return!0;switch(a[0]){case \"v\":return!1;case \"r\":return c=a[2]%Math.floor(100/c),a[2]++,this.set(f,a.join(\":\")),!c}return!0};\r\nthis.go=function(){if(this.check()){var a=document.createElement(\"script\");a.type=\"text/javascript\";a.src=g;document.body&&document.body.appendChild(a)}};\r\nthis.start=function(){var t=this;\"complete\"!==document.readyState?window.addEventListener?window.addEventListener(\"load\",function(){t.go()},!1):window.attachEvent&&window.attachEvent(\"onload\",function(){t.go()}):t.go()};};\r\ntry{(new g(100,\"r\",\"QSI_S_ZN_5o5yqpvMVjgDOuN\",\"//zn5o5yqpvmvjgdoun-wiley.siteintercept.qualtrics.com/SIE/?Q_ZID=ZN_5o5yqpvMVjgDOuN\")).start()}catch(i){}})();\r\n</script><div id='ZN_5o5yqpvMVjgDOuN'><!--DO NOT REMOVE-CONTENTS PLACED HERE--></div>\r\n<!--END WEBSITE FEEDBACK SNIPPET-->","enabled":false},{"pages":["all"],"location":"header","script":"<!-- Hotjar Tracking Code for //www.dummies.com -->\r\n<script>\r\n (function(h,o,t,j,a,r){\r\n h.hj=h.hj||function(){(h.hj.q=h.hj.q||[]).push(arguments)};\r\n h._hjSettings={hjid:257151,hjsv:6};\r\n a=o.getElementsByTagName('head')[0];\r\n r=o.createElement('script');r.async=1;\r\n r.src=t+h._hjSettings.hjid+j+h._hjSettings.hjsv;\r\n a.appendChild(r);\r\n })(window,document,'//static.hotjar.com/c/hotjar-','.js?sv=');\r\n</script>","enabled":false},{"pages":["article"],"location":"header","script":"<!-- //Connect Container: dummies --> <script src=\"//get.s-onetag.com/bffe21a1-6bb8-4928-9449-7beadb468dae/tag.min.js\" async defer></script>","enabled":true},{"pages":["homepage"],"location":"header","script":"<meta name=\"facebook-domain-verification\" content=\"irk8y0irxf718trg3uwwuexg6xpva0\" />","enabled":true},{"pages":["homepage","article","category","search"],"location":"footer","script":"<!-- Facebook Pixel Code -->\r\n<noscript>\r\n<img height=\"1\" width=\"1\" src=\"//www.facebook.com/tr?id=256338321977984&ev=PageView&noscript=1\"/>\r\n</noscript>\r\n<!-- End Facebook Pixel Code -->","enabled":true}]}},"pageScriptsLoadedStatus":"success"},"navigationState":{"navigationCollections":[{"collectionId":287568,"title":"BYOB (Be Your Own Boss)","hasSubCategories":false,"url":"/collection/for-the-entry-level-entrepreneur-287568"},{"collectionId":293237,"title":"Be a Rad Dad","hasSubCategories":false,"url":"/collection/be-the-best-dad-293237"},{"collectionId":294090,"title":"Contemplating the Cosmos","hasSubCategories":false,"url":"/collection/theres-something-about-space-294090"},{"collectionId":287563,"title":"For Those Seeking Peace of Mind","hasSubCategories":false,"url":"/collection/for-those-seeking-peace-of-mind-287563"},{"collectionId":287570,"title":"For the Aspiring Aficionado","hasSubCategories":false,"url":"/collection/for-the-bougielicious-287570"},{"collectionId":291903,"title":"For the Budding Cannabis Enthusiast","hasSubCategories":false,"url":"/collection/for-the-budding-cannabis-enthusiast-291903"},{"collectionId":291934,"title":"For the Exam-Season Crammer","hasSubCategories":false,"url":"/collection/for-the-exam-season-crammer-291934"},{"collectionId":287569,"title":"For the Hopeless Romantic","hasSubCategories":false,"url":"/collection/for-the-hopeless-romantic-287569"},{"collectionId":287567,"title":"For the Unabashed Hippie","hasSubCategories":false,"url":"/collection/for-the-unabashed-hippie-287567"},{"collectionId":295430,"title":"Have a Beautiful (and Tasty) Thanksgiving","hasSubCategories":false,"url":"/collection/have-a-wonderful-thanksgiving-295430"}],"navigationCollectionsLoadedStatus":"success","navigationCategories":{"books":{"0":{"data":[{"categoryId":33512,"title":"Technology","hasSubCategories":true,"url":"/category/books/technology-33512"},{"categoryId":33662,"title":"Academics & The Arts","hasSubCategories":true,"url":"/category/books/academics-the-arts-33662"},{"categoryId":33809,"title":"Home, Auto, & Hobbies","hasSubCategories":true,"url":"/category/books/home-auto-hobbies-33809"},{"categoryId":34038,"title":"Body, Mind, & Spirit","hasSubCategories":true,"url":"/category/books/body-mind-spirit-34038"},{"categoryId":34224,"title":"Business, Careers, & Money","hasSubCategories":true,"url":"/category/books/business-careers-money-34224"}],"breadcrumbs":[],"categoryTitle":"Level 0 Category","mainCategoryUrl":"/category/books/level-0-category-0"}},"articles":{"0":{"data":[{"categoryId":33512,"title":"Technology","hasSubCategories":true,"url":"/category/articles/technology-33512"},{"categoryId":33662,"title":"Academics & The Arts","hasSubCategories":true,"url":"/category/articles/academics-the-arts-33662"},{"categoryId":33809,"title":"Home, Auto, & Hobbies","hasSubCategories":true,"url":"/category/articles/home-auto-hobbies-33809"},{"categoryId":34038,"title":"Body, Mind, & Spirit","hasSubCategories":true,"url":"/category/articles/body-mind-spirit-34038"},{"categoryId":34224,"title":"Business, Careers, & Money","hasSubCategories":true,"url":"/category/articles/business-careers-money-34224"}],"breadcrumbs":[],"categoryTitle":"Level 0 Category","mainCategoryUrl":"/category/articles/level-0-category-0"}}},"navigationCategoriesLoadedStatus":"success"},"searchState":{"searchList":[],"searchStatus":"initial","relatedArticlesList":[],"relatedArticlesStatus":"initial"},"routeState":{"name":"Article3","path":"/article/academics-the-arts/math/geometry/properties-of-parallelograms-187547/","hash":"","query":{},"params":{"category1":"academics-the-arts","category2":"math","category3":"geometry","article":"properties-of-parallelograms-187547"},"fullPath":"/article/academics-the-arts/math/geometry/properties-of-parallelograms-187547/","meta":{"routeType":"article","breadcrumbInfo":{"suffix":"Articles","baseRoute":"/category/articles"},"prerenderWithAsyncData":true},"from":{"name":null,"path":"/","hash":"","query":{},"params":{},"fullPath":"/","meta":{}}},"dropsState":{"submitEmailResponse":false,"status":"initial"},"sfmcState":{"status":"initial"},"profileState":{"auth":{},"userOptions":{},"status":"success"}}