{"id":42600,"date":"2026-10-16T16:38:04","date_gmt":"2026-10-16T16:38:04","guid":{"rendered":"https:\/\/mp.moonpreneur.com\/math-corner\/?p=42600"},"modified":"2026-10-16T16:44:20","modified_gmt":"2026-10-16T16:44:20","slug":"what-is-a-parallelogram","status":"publish","type":"post","link":"https:\/\/mp.moonpreneur.com\/math-corner\/what-is-a-parallelogram\/","title":{"rendered":"What Is a Parallelogram? Definition, Properties &#038; Examples"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"42600\" class=\"elementor elementor-42600\" data-elementor-post-type=\"post\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-b85f1ac elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b85f1ac\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1af88f9\" data-id=\"1af88f9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6facd10 elementor-widget elementor-widget-html\" data-id=\"6facd10\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<div style=\"background:#fff8e8; border-left:5px solid #e5a323; border-radius:10px; padding:20px; margin:20px 0; font-family:Arial,sans-serif; color:#333; line-height:1.7; box-sizing:border-box; width:100%;\">\r\n  <h2 style=\"margin:0 0 12px; font-size:21px; color:#8a5a00;\"><\/h2>\r\n  <p style=\"margin:0 0 12px; font-size:16px;\">\r\n     <strong>What Is a Parallelogram? The Short Answer\r\n<\/strong>\r\n\r\n\r\nSo, what is a parallelogram? It is a flat, four-sided shape in which both pairs of opposite sides are parallel and equal in length. Picture a rectangle that someone has gently pushed sideways, like a neat stack of playing cards nudged to one side. That friendly lean is what makes a parallelogram so easy to spot.\r\nYou have met this shape more often than you think: in floor tiles, folding gates, desk lamps and even the diagrams in your physics textbook. In this guide we will unpack what a parallelogram is, what its properties are, how to find its area, and why it keeps showing up in the real world.\r\n\r\n\r\n  <\/p>\r\n  <p style=\"margin:0; font-size:16px;\">\r\n    \r\n  <\/p>\r\n<\/div>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-9b2fb3f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9b2fb3f\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-04ac2e2\" data-id=\"04ac2e2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fc2786d elementor-widget elementor-widget-text-editor\" data-id=\"fc2786d\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><strong>Similar Interest:<\/strong><\/p><ul><li class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/what-is-the-area-of-a-polygon\/\">What Is the Area of a Polygon? Formula &amp; Examples<\/a><\/li><li class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/place-value-after-a-decimal\/\">What Is the Place Value After Decimal? Chart &amp; Examples<\/a><\/li><li class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/mp.moonpreneur.com\/math-corner\/converting-gallons-to-quarts\/\">Converting Gallons to Quarts: Formula, Examples &amp; Guide<\/a><\/li><\/ul>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-aff39ca elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"aff39ca\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-26469b5\" data-id=\"26469b5\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-50d9520 elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"50d9520\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInDown&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h2><b>What Shape Is a Parallelogram?<\/b><\/h2>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-e9422e5 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e9422e5\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-bd404ba\" data-id=\"bd404ba\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b4746cb elementor-widget elementor-widget-text-editor\" data-id=\"b4746cb\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400; color: #000000;\">A parallelogram is a two-dimensional shape with four straight sides and four corners (vertices). It belongs to the family of quadrilaterals, and it has one special rule: opposite sides never meet, because they run in the same direction forever. That is exactly what &#8220;parallel&#8221; means.<\/span><\/p><p><span style=\"font-weight: 400; color: #000000;\">If you are asking what shape is a parallelogram, think of a &#8220;slanted rectangle&#8221;. The top and bottom edges are parallel, the left and right edges are parallel, but the corners are usually not square. Two corners are sharp (acute) and two are wide (obtuse).<\/span><\/p><p><span style=\"color: #000000;\"><span style=\"font-weight: 400;\">The name itself is a clue. It comes from the Greek <\/span><i><span style=\"font-weight: 400;\">parallelogrammon<\/span><\/i><span style=\"font-weight: 400;\">, meaning &#8220;bounded by parallel lines&#8221;, and the shape has been studied since the days of ancient Greek geometry.<\/span><\/span><\/p><p><span style=\"font-weight: 400; color: #000000;\">If we name the corners A, B, C and D going around the shape, a parallelogram ABCD has AB parallel to DC and AD parallel to BC. So what is a parallelogram shape in one line? It is a quadrilateral with two pairs of parallel sides.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-03d83be elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"03d83be\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-27208b1\" data-id=\"27208b1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a1cd0af elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"a1cd0af\" data-element_type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeInDown&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<h2><b>Key Properties of a Parallelogram<\/b><\/h2>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-c3c8225 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c3c8225\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5b357f4\" data-id=\"5b357f4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-185b31d elementor-widget elementor-widget-text-editor\" data-id=\"185b31d\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400; color: #000000;\">Every parallelogram, no matter how stretched or tilted, follows the same set of rules. These are the properties that define it:<\/span><\/p><p><span style=\"color: #000000;\"><b>1. Opposite sides are parallel.<\/b><span style=\"font-weight: 400;\"> This is the defining rule.<\/span><\/span><\/p><p><span style=\"color: #000000;\"><b>2. Opposite sides are equal in length.<\/b><span style=\"font-weight: 400;\"> The top matches the bottom, and the left matches the right.<\/span><\/span><\/p><p><span style=\"color: #000000;\"><b>3. Opposite angles are equal.<\/b><span style=\"font-weight: 400;\"> The two acute angles match each other, and so do the two obtuse angles.<\/span><\/span><\/p><p><span style=\"color: #000000;\"><b>4. Neighbouring angles add up to 180\u00b0.<\/b><span style=\"font-weight: 400;\"> Any two angles that share a side are supplementary, so if one is 70\u00b0, its neighbour is 110\u00b0.<\/span><\/span><\/p><p><span style=\"color: #000000;\"><b>5. The diagonals bisect each other.<\/b><span style=\"font-weight: 400;\"> They cut each other exactly in half at the centre point.<\/span><\/span><\/p><p><span style=\"color: #000000;\"><b>6. Each diagonal splits the shape into two identical triangles.<\/b><\/span><\/p><p><span style=\"font-weight: 400; color: #000000;\">All four interior angles of a parallelogram add up to 360\u00b0, like any quadrilateral. One common mix-up: the diagonals of a general parallelogram are usually not equal in length, and they do not cross at right angles. Those extra traits belong to its special cousins, which we meet next.<\/span><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-614742e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"614742e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-fcad9b7\" data-id=\"fcad9b7\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-47e7e09 elementor-widget elementor-widget-html\" data-id=\"47e7e09\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\r\n<div class=\"para-family\">\r\n  <style>\r\n    .para-family {\r\n      font-family: Arial, sans-serif;\r\n      color: #263449;\r\n      line-height: 1.6;\r\n      margin: 24px 0;\r\n    }\r\n    .para-family * { box-sizing: border-box; }\r\n    .para-family .family-header {\r\n      background: linear-gradient(135deg, #193b72, #526ee8);\r\n      color: #fff;\r\n      padding: 24px;\r\n      border-radius: 16px 16px 0 0;\r\n    }\r\n    .para-family .family-header h2 {\r\n      color: #fff;\r\n      margin: 0 0 8px;\r\n      font-size: 25px;\r\n    }\r\n    .para-family .family-header p {\r\n      margin: 0;\r\n      color: #eef2ff;\r\n    }\r\n    .para-family .table-wrap {\r\n      overflow-x: auto;\r\n      border: 1px solid #dce4f2;\r\n      border-radius: 0 0 14px 14px;\r\n    }\r\n    .para-family table {\r\n      width: 100%;\r\n      min-width: 620px;\r\n      border-collapse: collapse;\r\n      background: #fff;\r\n    }\r\n    .para-family th {\r\n      background: #e9efff;\r\n      color: #263d77;\r\n      padding: 13px;\r\n      text-align: left;\r\n      font-size: 14px;\r\n    }\r\n    .para-family td {\r\n      padding: 13px;\r\n      border-top: 1px solid #e2e8f0;\r\n      font-size: 14px;\r\n      vertical-align: top;\r\n    }\r\n    .para-family tbody tr:nth-child(even) { background: #f8faff; }\r\n    .para-family .shape {\r\n      font-weight: 700;\r\n      color: #263d77;\r\n    }\r\n    .para-family .shape-icon {\r\n      display: inline-flex;\r\n      width: 38px;\r\n      height: 30px;\r\n      align-items: center;\r\n      justify-content: center;\r\n      background: #e8edff;\r\n      border-radius: 8px;\r\n      margin-right: 7px;\r\n      color: #455ee8;\r\n      font-size: 20px;\r\n    }\r\n    .para-family .family-note {\r\n      margin-top: 16px;\r\n      padding: 16px 18px;\r\n      background: #fff7df;\r\n      border-left: 5px solid #f3b735;\r\n      border-radius: 8px;\r\n    }\r\n    .para-family .family-note strong { color: #815b00; }\r\n    @media(max-width:600px) {\r\n      .para-family .family-header { padding: 18px; }\r\n      .para-family .family-header h2 { font-size: 21px; }\r\n    }\r\n  <\/style>\r\n\r\n  <div class=\"family-header\">\r\n    <h2>Meet the Parallelogram Family<\/h2>\r\n    <p>Four familiar shapes, one geometric connection! Compare their sides, angles, and diagonals to discover what makes each shape special.<\/p>\r\n  <\/div>\r\n\r\n  <div class=\"table-wrap\">\r\n    <table>\r\n      <thead>\r\n        <tr>\r\n          <th>Shape<\/th>\r\n          <th>Sides<\/th>\r\n          <th>Angles<\/th>\r\n          <th>Diagonals<\/th>\r\n        <\/tr>\r\n      <\/thead>\r\n      <tbody>\r\n        <tr>\r\n          <td class=\"shape\"><span class=\"shape-icon\">\u25b1<\/span>Parallelogram<\/td>\r\n          <td>Opposite sides are parallel and equal.<\/td>\r\n          <td>Opposite angles are equal; not always 90\u00b0.<\/td>\r\n          <td>Bisect each other.<\/td>\r\n        <\/tr>\r\n        <tr>\r\n          <td class=\"shape\"><span class=\"shape-icon\">\u25ad<\/span>Rectangle<\/td>\r\n          <td>Opposite sides are parallel and equal.<\/td>\r\n          <td>All four angles are 90\u00b0.<\/td>\r\n          <td>Equal in length and bisect each other.<\/td>\r\n        <\/tr>\r\n        <tr>\r\n          <td class=\"shape\"><span class=\"shape-icon\">\u25c7<\/span>Rhombus<\/td>\r\n          <td>All four sides are equal.<\/td>\r\n          <td>Opposite angles are equal; not always 90\u00b0.<\/td>\r\n          <td>Cross at right angles and bisect each other.<\/td>\r\n        <\/tr>\r\n        <tr>\r\n          <td class=\"shape\"><span class=\"shape-icon\">\u25a1<\/span>Square<\/td>\r\n          <td>All four sides are equal.<\/td>\r\n          <td>All four angles are 90\u00b0.<\/td>\r\n          <td>Equal in length, perpendicular, and bisect each other.<\/td>\r\n        <\/tr>\r\n      <\/tbody>\r\n    <\/table>\r\n  <\/div>\r\n\r\n  <div class=\"family-note\">\r\n    <strong>Geometry fact:<\/strong> Every rectangle, rhombus, and square is a parallelogram. However, not every parallelogram is a rectangle, rhombus, or square!\r\n  <\/div>\r\n<\/div>\r\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-93b522c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"93b522c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-913f291\" data-id=\"913f291\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-da7bc32 elementor-widget elementor-widget-html\" data-id=\"da7bc32\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\r\n<div class=\"para-formulas\">\r\n  <style>\r\n    .para-formulas {\r\n      font-family: Arial, sans-serif;\r\n      color: #24334a;\r\n      margin: 24px 0;\r\n      line-height: 1.65;\r\n    }\r\n    .para-formulas * { box-sizing: border-box; }\r\n    .para-formulas .intro {\r\n      background: #f1f5ff;\r\n      border-radius: 12px;\r\n      padding: 18px;\r\n      border: 1px solid #dce5ff;\r\n      margin-bottom: 18px;\r\n    }\r\n    .para-formulas h2 {\r\n      color: #24468f;\r\n      font-size: 24px;\r\n      margin: 0 0 10px;\r\n    }\r\n    .para-formulas .formula-grid {\r\n      display: grid;\r\n      grid-template-columns: repeat(2, minmax(0, 1fr));\r\n      gap: 16px;\r\n    }\r\n    .para-formulas .formula-card {\r\n      padding: 22px;\r\n      border-radius: 14px;\r\n      border: 1px solid #dce5f2;\r\n      background: #fff;\r\n      box-shadow: 0 4px 14px rgba(30, 60, 100, .06);\r\n    }\r\n    .para-formulas .area-card { border-top: 5px solid #4e70e8; }\r\n    .para-formulas .perimeter-card { border-top: 5px solid #10a88a; }\r\n    .para-formulas .formula-label {\r\n      font-size: 13px;\r\n      text-transform: uppercase;\r\n      font-weight: 700;\r\n      letter-spacing: 1px;\r\n      color: #65748b;\r\n    }\r\n    .para-formulas .equation {\r\n      font-size: 28px;\r\n      font-weight: 800;\r\n      margin: 12px 0;\r\n      color: #24468f;\r\n      overflow-wrap: anywhere;\r\n    }\r\n    .para-formulas .perimeter-card .equation { color: #087d69; }\r\n    .para-formulas .tip {\r\n      padding: 15px;\r\n      background: #fff7df;\r\n      border-radius: 10px;\r\n      margin-top: 16px;\r\n      border-left: 4px solid #efb532;\r\n    }\r\n    .para-formulas .example {\r\n      margin-top: 20px;\r\n      padding: 22px;\r\n      background: #f0fbf7;\r\n      border: 1px solid #c9efe1;\r\n      border-radius: 14px;\r\n    }\r\n    .para-formulas .example h3 {\r\n      color: #087d69;\r\n      margin: 0 0 12px;\r\n      font-size: 20px;\r\n    }\r\n    .para-formulas .answer {\r\n      display: inline-block;\r\n      padding: 9px 13px;\r\n      background: #d9f7eb;\r\n      border-radius: 8px;\r\n      font-weight: 700;\r\n      margin: 5px 5px 0 0;\r\n      color: #08634f;\r\n    }\r\n    @media(max-width:600px) {\r\n      .para-formulas .formula-grid { grid-template-columns: 1fr; }\r\n      .para-formulas h2 { font-size: 21px; }\r\n      .para-formulas .equation { font-size: 25px; }\r\n    }\r\n  <\/style>\r\n\r\n  <div class=\"intro\">\r\n    <h2>How to Find the Area and Perimeter<\/h2>\r\n    The area measures the space inside a parallelogram, while the perimeter measures the total distance around its boundary.\r\n  <\/div>\r\n\r\n  <div class=\"formula-grid\">\r\n    <div class=\"formula-card area-card\">\r\n      <div class=\"formula-label\">Formula 01 \u00b7 Area<\/div>\r\n      <div class=\"equation\">A = b \u00d7 h<\/div>\r\n      Multiply the base by the perpendicular height to find the area.\r\n      <p><strong>Remember:<\/strong> Height is the straight, perpendicular distance between the two parallel bases. It is not the length of the slanted side.<\/p>\r\n    <\/div>\r\n\r\n    <div class=\"formula-card perimeter-card\">\r\n      <div class=\"formula-label\">Formula 02 \u00b7 Perimeter<\/div>\r\n      <div class=\"equation\">P = 2(a + b)<\/div>\r\n      Add the lengths of two adjacent sides and multiply the sum by 2.\r\n      <p><strong>Remember:<\/strong> Use the actual side lengths when calculating the perimeter.<\/p>\r\n    <\/div>\r\n  <\/div>\r\n\r\n  <div class=\"tip\">\r\n    <strong>Why does the area formula work?<\/strong> Imagine slicing a triangle off one slanted end and moving it to the other end. The parallelogram becomes a rectangle with the same base and height, so its area stays the same.\r\n  <\/div>\r\n\r\n  <div class=\"example\">\r\n    <h3>Worked Example<\/h3>\r\n    A parallelogram has a base of 10 cm, a slanted side of 6 cm, and a perpendicular height of 5 cm.\r\n\r\n    <p><strong>Step 1: Find the area.<\/strong><\/p>\r\n    A = b \u00d7 h = 10 \u00d7 5 = 50 cm\u00b2\r\n\r\n    <p><strong>Step 2: Find the perimeter.<\/strong><\/p>\r\n    P = 2(a + b) = 2(6 + 10) = 32 cm\r\n\r\n    <div class=\"answer\">Area = 50 cm\u00b2<\/div>\r\n    <div class=\"answer\">Perimeter = 32 cm<\/div>\r\n  <\/div>\r\n<\/div>\r\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-15acbf6 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"15acbf6\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-b368f03\" data-id=\"b368f03\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-67cde72 elementor-widget elementor-widget-html\" data-id=\"67cde72\" data-element_type=\"widget\" data-widget_type=\"html.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\r\n<div class=\"para-lesson\">\r\n  <style>\r\n    .para-lesson {\r\n      font-family: Arial, Helvetica, sans-serif;\r\n      color: #25334b;\r\n      max-width: 850px;\r\n      margin: 20px auto;\r\n      padding: 28px;\r\n      background: linear-gradient(135deg, #f4f8ff, #fffaff);\r\n      border: 1px solid #e2e9fa;\r\n      border-radius: 18px;\r\n      line-height: 1.7;\r\n      box-sizing: border-box;\r\n    }\r\n\r\n    .para-lesson * {\r\n      box-sizing: border-box;\r\n    }\r\n\r\n    .para-hero {\r\n      display: flex;\r\n      align-items: center;\r\n      justify-content: space-between;\r\n      gap: 20px;\r\n      padding: 24px;\r\n      border-radius: 14px;\r\n      background: linear-gradient(120deg, #e0edff, #eee5ff);\r\n      margin-bottom: 25px;\r\n    }\r\n\r\n    .para-hero h2 {\r\n      color: #263e83;\r\n      font-size: 25px;\r\n      line-height: 1.3;\r\n      margin: 0 0 10px;\r\n    }\r\n\r\n    .para-hero p {\r\n      margin: 0;\r\n      font-size: 14px;\r\n      color: #4e5d7a;\r\n    }\r\n\r\n    .para-drawing {\r\n      flex-shrink: 0;\r\n      width: 115px;\r\n      height: 100px;\r\n      display: flex;\r\n      align-items: center;\r\n      justify-content: center;\r\n      background: #ffffffa8;\r\n      border-radius: 14px;\r\n    }\r\n\r\n    .para-drawing svg {\r\n      width: 100px;\r\n      height: 85px;\r\n    }\r\n\r\n    .para-lesson h3 {\r\n      color: #293f7d;\r\n      font-size: 19px;\r\n      margin: 25px 0 10px;\r\n    }\r\n\r\n    .para-intro {\r\n      font-size: 15px;\r\n      margin: 0 0 17px;\r\n    }\r\n\r\n    .para-rule {\r\n      display: flex;\r\n      align-items: flex-start;\r\n      gap: 12px;\r\n      padding: 12px 14px;\r\n      margin: 10px 0;\r\n      background: #fff;\r\n      border: 1px solid #e6eafa;\r\n      border-radius: 10px;\r\n      box-shadow: 0 3px 10px #293f7d0a;\r\n    }\r\n\r\n    .para-number {\r\n      display: flex;\r\n      align-items: center;\r\n      justify-content: center;\r\n      flex-shrink: 0;\r\n      width: 29px;\r\n      height: 29px;\r\n      color: #fff;\r\n      background: #6379d9;\r\n      border-radius: 8px;\r\n      font-size: 13px;\r\n      font-weight: bold;\r\n    }\r\n\r\n    .para-rule p {\r\n      margin: 2px 0 0;\r\n      font-size: 14px;\r\n    }\r\n\r\n    .para-note {\r\n      margin-top: 20px;\r\n      padding: 16px 18px;\r\n      background: #fff4d9;\r\n      border-left: 5px solid #f1b849;\r\n      border-radius: 8px;\r\n      font-size: 14px;\r\n    }\r\n\r\n    .para-note strong {\r\n      color: #805516;\r\n    }\r\n\r\n    .para-facts-title {\r\n      display: flex;\r\n      align-items: center;\r\n      gap: 10px;\r\n      margin-bottom: 14px;\r\n    }\r\n\r\n    .para-facts-title h3 {\r\n      margin: 0;\r\n    }\r\n\r\n    .para-facts-title span {\r\n      font-size: 22px;\r\n    }\r\n\r\n    .para-fact {\r\n      padding: 16px 17px;\r\n      margin: 12px 0;\r\n      border-radius: 11px;\r\n      border: 1px solid #e7e7f7;\r\n      background: #ffffff;\r\n    }\r\n\r\n    .para-fact:nth-child(2) {\r\n      border-left: 4px solid #8875e8;\r\n    }\r\n\r\n    .para-fact:nth-child(3) {\r\n      border-left: 4px solid #49a9a0;\r\n    }\r\n\r\n    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     }\r\n    }\r\n  <\/style>\r\n\r\n  <div class=\"para-hero\">\r\n    <div>\r\n      <h2>How to Tell If a Shape Is a Parallelogram<\/h2>\r\n      <p>Five simple ways to identify a parallelogram without checking every property.<\/p>\r\n    <\/div>\r\n\r\n    <div class=\"para-drawing\">\r\n      <svg viewBox=\"0 0 120 100\" fill=\"none\"\r\n           xmlns=\"http:\/\/www.w3.org\/2000\/svg\"\r\n           role=\"img\" aria-label=\"Illustration of a parallelogram\">\r\n        <path d=\"M29 17 L108 17 L87 78 L8 78 Z\"\r\n              fill=\"#b9c9ff\" fill-opacity=\".55\"\r\n              stroke=\"#4f63c6\" stroke-width=\"3\"\r\n              stroke-linejoin=\"round\"><\/path>\r\n        <path d=\"M29 17 L87 78 M108 17 L8 78\"\r\n              stroke=\"#9b7be8\" stroke-width=\"2\"\r\n              stroke-dasharray=\"5 4\"><\/path>\r\n        <circle cx=\"58\" cy=\"47.5\" r=\"4\"\r\n                fill=\"#f2a94b\" stroke=\"white\" stroke-width=\"1.5\"><\/circle>\r\n      <\/svg>\r\n    <\/div>\r\n  <\/div>\r\n\r\n  <p class=\"para-intro\">\r\n    Given a mystery four-sided shape, you do not need to check every property.\r\n    Proving any one of the following is enough:\r\n  <\/p>\r\n\r\n  <div class=\"para-rule\">\r\n    <span class=\"para-number\">1<\/span>\r\n    <p>Both pairs of opposite sides are parallel.<\/p>\r\n  <\/div>\r\n\r\n  <div class=\"para-rule\">\r\n    <span class=\"para-number\">2<\/span>\r\n    <p>Both pairs of opposite sides are equal in length.<\/p>\r\n  <\/div>\r\n\r\n  <div class=\"para-rule\">\r\n    <span class=\"para-number\">3<\/span>\r\n    <p>Both pairs of opposite angles are equal.<\/p>\r\n  <\/div>\r\n\r\n  <div class=\"para-rule\">\r\n    <span class=\"para-number\">4<\/span>\r\n    <p>The diagonals bisect each other.<\/p>\r\n  <\/div>\r\n\r\n  <div class=\"para-rule\">\r\n    <span class=\"para-number\">5<\/span>\r\n    <p>One pair of opposite sides is both parallel and equal in length.<\/p>\r\n  <\/div>\r\n\r\n  <div class=\"para-note\">\r\n    <strong>Quick sanity check:<\/strong>\r\n    If a shape has only one pair of parallel sides, it is a trapezoid\r\n    under the usual exclusive definition. If it has two pairs of equal\r\n    neighboring sides but no parallel sides, it is a kite. Neither is\r\n    necessarily a parallelogram.\r\n  <\/div>\r\n\r\n  <div class=\"para-facts-title\">\r\n    <span>\u2728<\/span>\r\n    <h3>Fun Facts About Parallelograms<\/h3>\r\n  <\/div>\r\n\r\n  <div class=\"para-fact\">\r\n    <h4>\ud83d\udcd0 Slanting Does Not Change Area<\/h4>\r\n    <p>\r\n      If the base and perpendicular height stay the same, you can lean\r\n      a parallelogram as far as you like and its area stays put.\r\n    <\/p>\r\n  <\/div>\r\n\r\n  <div class=\"para-fact\">\r\n    <h4>\ud83d\udd0d Any Quadrilateral Hides One<\/h4>\r\n    <p>\r\n      Join the midpoints of the four sides of any quadrilateral, even a\r\n      lopsided one, and you always get a parallelogram. This is known\r\n      as Varignon's theorem.\r\n    <\/p>\r\n  <\/div>\r\n\r\n  <div class=\"para-fact\">\r\n    <h4>\u2702\ufe0f Half-and-Half<\/h4>\r\n    <p>\r\n      Either diagonal cuts a parallelogram into two identical triangles,\r\n      which is why triangles and parallelograms are such close geometry\r\n      partners.\r\n    <\/p>\r\n  <\/div>\r\n\r\n  <div class=\"para-footer\">\r\n    GEOMETRY MADE SIMPLE \u00b7 LEARN THE RULES, RECOGNIZE THE SHAPE\r\n  <\/div>\r\n<\/div>\r\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_eae_slider elementor-section elementor-top-section elementor-element elementor-element-dcb0f79 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"dcb0f79\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_eae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1910ce0\" data-id=\"1910ce0\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f5472b2 elementor-widget elementor-widget-text-editor\" data-id=\"f5472b2\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p><span style=\"font-weight: 400;\">So, what is a parallelogram? It is a four-sided shape with two pairs of parallel, equal sides, opposite angles that match, and diagonals that cut each other in half. It is the slanted cousin of the rectangle, and the parent of the rectangle, rhombus and square.<\/span><\/p><p><span style=\"font-weight: 400;\">Next time someone asks what shape a parallelogram is, you can answer with confidence: a flexible, balanced quadrilateral that quietly holds up everything from desk lamps to tile floors. Keep an eye out, because once you know what a parallelogram looks like, you will spot it everywhere.<\/span><\/p><p>Want to excite your child about math and sharpen their math skills? Moonpreneur\u2019s online math curriculum is unique as it helps children understand math skills through hands-on lessons, assists them in building real-life applications, and excites them to learn math.\u00a0<\/p><p>You can opt for our <a href=\"https:\/\/moonpreneur.com\/innovator-program\/advanced-math\/\">Advanced Math<\/a>\u00a0or Vedic Math+Mental Math courses. Our\u00a0<a href=\"https:\/\/mp.moonpreneur.com\/math-quiz-for-kids\/\">Math Quiz<\/a> for grades 3rd, 4th, 5th, and 6th helps in further exciting and engaging in mathematics with hands-on lessons.<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>What Is a Parallelogram? The Short Answer So, what is a parallelogram? It is a flat, four-sided shape in which both pairs of opposite sides are parallel and equal in length. Picture a rectangle that someone has gently pushed sideways, like a neat stack of playing cards nudged to one side. That friendly lean is [&hellip;]<\/p>\n","protected":false},"author":116,"featured_media":42605,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[979],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/42600"}],"collection":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/users\/116"}],"replies":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/comments?post=42600"}],"version-history":[{"count":5,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/42600\/revisions"}],"predecessor-version":[{"id":42606,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/posts\/42600\/revisions\/42606"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media\/42605"}],"wp:attachment":[{"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/media?parent=42600"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/categories?post=42600"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mp.moonpreneur.com\/math-corner\/wp-json\/wp\/v2\/tags?post=42600"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}