{"id":9000,"date":"2020-10-17T13:41:34","date_gmt":"2020-10-17T13:41:34","guid":{"rendered":"https:\/\/www.homeworkminutes.com\/infographics\/?p=9000"},"modified":"2023-01-11T21:17:59","modified_gmt":"2023-01-12T05:17:59","slug":"properties-of-parallelogram-math-homework-help","status":"publish","type":"post","link":"https:\/\/www.homeworkminutes.com\/infographics\/properties-of-parallelogram-math-homework-help\/","title":{"rendered":"Properties of parallelogram | Math Homework Help"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">Parallelograms are special polygons in a quadrilateral shape with both pairs of opposite sides parallel to each other. It is a 2D geometrical shape. A parallelogram is also a polygon having four sides with interior angles equal to each other. There are many 2D shapes and sizes present in geometry. For calculating the properties of a parallelogram, you need to find the base and height. In this guide, you\u2019ll read the main properties of a parallelogram.\u00a0<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">Main Properties of Parallelogram\u00a0<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">The main properties of the parallelogram are:-<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Opposite sides of a parallelogram are congruent (AB = DC)<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Opposite angles are congruent (D = B)<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Consecutive angles of a parallelogram are supplementary (A + B = 180 degrees)<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">If one angle is right, then all angles are right\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The diagonals of a parallelogram bisect each other\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Each diagonal of a parallelogram separates it into two congruent triangles\u00a0<\/span><\/li>\n<\/ul>\n<p><b>For Example:-<\/b><\/p>\n<p><b>ABCD is a parallelogram, where AB || CD and AD || BC.\u00a0<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Also, AB = CD and AD = BC<\/span><\/p>\n<p><span style=\"font-weight: 400;\">And, \u2220A = \u2220C &amp; \u2220B = \u2220D<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Also, \u2220A &amp; \u2220D are supplementary angles because these interior angles lie on the same side of the transversal. Similarly, \u2220B &amp; \u2220C are supplementary angles.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Therefore,<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u2220A + \u2220D = 180<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u2220B + \u2220C = 180<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">Types of Parallelogram<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">There are mainly four types of Parallelograms as per distinct factors. Some of the key factors on which the types of parallelogram depends include angles, sides, etc.\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">For example:-\u00a0<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">In a parallelogram named ABCD<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">If AB = BC = CD= DA are equal, the type is known as a rhombus. Both rhombus and parallelogram have similar properties.<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The other two types of parallelograms are rectangular and square, respectively.\u00a0<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">The other two special types of a parallelogram are:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">To know about the main types in brief, here are these with basic properties.\u00a0<\/span><\/p>\n<h3><b>Rectangle\u00a0<\/b><\/h3>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">A rectangle is a four-sided figure referred to as a quadrilateral<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The measure of each interior angle is a 90 degree<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Opposite sides are equal\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The sum of the interior angles of a rectangle is equal to 180\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The diagonals of a rectangle bisect each other\u00a0<\/span><\/li>\n<\/ul>\n<h3><b>Rhombus\u00a0<\/b><\/h3>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">All sides are congruent\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Diagonals bisect each other at right angles\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The opposite sides of a rhombus are parallel\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The sum of two adjacent sides of a rhombus is 180\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">There are no circumscribing or inscribing circles within or around a rhombus\u00a0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The opposite angles of a rhombus are equal<\/span><\/li>\n<\/ul>\n<h3><b>Square\u00a0<\/b><\/h3>\n<ul>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">All four interior angles of a square are equal to 90\u00b0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">All four sides of the square are congruent or equal to each other<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The opposite sides of the square are parallel to each other<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The diagonals of the square bisect each other at 90\u00b0<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The two diagonals of the square are equal to each other<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The square has four vertices and four sides<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The diagonal of the square divide it into two similar isosceles triangles<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">The length of diagonals is greater than the sides of the square<\/span><\/li>\n<\/ul>\n<p><span style=\"font-weight: 400;\">If you need help with these typical mathematics topics, you can seek instant help from us. We are available 24*7 to provide you instant service. Chat with us now!<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Parallelograms are special polygons in a quadrilateral shape with both pairs of opposite sides parallel to each other. It is a 2D geometrical shape. A&#8230;<\/p>\n","protected":false},"author":1,"featured_media":9001,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_wp_rev_ctl_limit":""},"categories":[21],"tags":[155,351],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.6 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Properties of parallelogram | Math Homework Help<\/title>\n<meta name=\"description\" content=\"In this guide, you\u2019ll read about the main properties of a parallelogram. 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