{"id":367,"date":"2022-04-12T10:22:04","date_gmt":"2022-04-12T10:22:04","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=367"},"modified":"2024-10-16T10:46:06","modified_gmt":"2024-10-16T10:46:06","slug":"r-4-identify-trapeziums","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/r-4-identify-trapeziums\/","title":{"rendered":"R.4 Identify trapeziums"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Identify trapeziums<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\"><strong>Key notes:<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#000060\"><strong>Definition of Trapezium<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-large-font-size\">A trapezium (or trapezoid in American English) is a four-sided polygon (quadrilateral) with at least one pair of parallel sides. The parallel sides are called the bases, while the other two sides are called the legs.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color\" style=\"color:#000060\"><strong>Types of Trapeziums<\/strong>:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Isosceles Trapezium<\/strong>: Both legs are of equal length, and the angles adjacent to each base are equal.<\/li>\n\n\n\n<li><strong>Scalene Trapezium<\/strong>: The legs are of different lengths, and the angles adjacent to each base are also different.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color\" style=\"color:#000060\"><strong>Properties of Trapeziums<\/strong>:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><strong>Sum of Interior Angles<\/strong>: The sum of the interior angles of any quadrilateral, including trapeziums, is always 360 degrees.<\/li>\n\n\n\n<li><strong>Base Angles<\/strong>: In an isosceles trapezium, the angles on each base are equal. For example, if one angle is AAA at the top base, then the angle at the bottom base directly across from it is also AAA.<\/li>\n\n\n\n<li><strong>Height<\/strong>: The height of a trapezium is the perpendicular distance between the two bases.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color\" style=\"color:#000060\"><strong>Identifying a Trapezium<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To identify a trapezium, look for the following characteristics:\n<ul class=\"wp-block-list\">\n<li>Four sides (quadrilateral).<\/li>\n\n\n\n<li>At least one pair of parallel sides.<\/li>\n\n\n\n<li>Check if the other pair of sides (legs) are equal in length (for isosceles trapeziums).<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-670-\u00d7-200px-9.png\" alt=\"\" class=\"wp-image-4764\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-670-\u00d7-200px-9.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-670-\u00d7-200px-9-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background\" style=\"background-color:#ccfde6\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-primary-color has-background-background-color has-text-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u27a1\ufe0f<strong> Is&nbsp;this polygon a&nbsp;trapezium?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-670-\u00d7-200px-670-\u00d7-100px-500-\u00d7-500px-9.png\" alt=\"\" class=\"wp-image-4765\" style=\"aspect-ratio:1;width:368px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-670-\u00d7-200px-670-\u00d7-100px-500-\u00d7-500px-9.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-670-\u00d7-200px-670-\u00d7-100px-500-\u00d7-500px-9-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-670-\u00d7-200px-670-\u00d7-100px-500-\u00d7-500px-9-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-670-\u00d7-200px-670-\u00d7-100px-500-\u00d7-500px-9-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>To&nbsp;see if a polygon is a trapezium, first check that it is a quadrilateral. Then check that it has one pair of parallel&nbsp;sides.<\/p>\n\n\n\n<p>This&nbsp;polygon has four sides. It is a&nbsp;quadrilateral.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___200px___670___100px___500___500px___9_-removebg-preview.png\" alt=\"\" class=\"wp-image-4770\" style=\"aspect-ratio:1;width:348px;height:auto\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___200px___670___100px___500___500px___9_-removebg-preview.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___200px___670___100px___500___500px___9_-removebg-preview-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___200px___670___100px___500___500px___9_-removebg-preview-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___200px___670___100px___500___500px___9_-removebg-preview-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure><\/div>\n\n\n<p>However, this quadrilateral has no pairs of parallel sides. Parallel sides are usually marked with matching arrows.<\/p>\n\n\n\n<p>So, it is not a trapezium.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#e4f8de\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u27a1\ufe0f <strong>Is&nbsp;this polygon a&nbsp;trapezium?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-670-\u00d7-200px-10.png\" alt=\"\" class=\"wp-image-4768\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-670-\u00d7-200px-10.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled-670-\u00d7-200px-10-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>To&nbsp;see if a polygon is a trapezium, first check that it is a quadrilateral. Then check that it has one pair of parallel&nbsp;sides.<\/p>\n\n\n\n<p>This&nbsp;polygon has four sides. It is a&nbsp;quadrilateral.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___200px___10_-removebg-preview.png\" alt=\"\" class=\"wp-image-4769\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___200px___10_-removebg-preview.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___200px___10_-removebg-preview-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>However,&nbsp;this quadrilateral has no pairs of parallel sides. Parallel sides are usually marked with matching&nbsp;arrows.<\/p>\n\n\n\n<p>So,&nbsp;it is&nbsp;<strong>not&nbsp;a&nbsp;trapezium<\/strong>.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f8daf7\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\">\u27a1\ufe0f<strong> Is&nbsp;this polygon a&nbsp;trapezium?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___200px___11_-removebg-preview.png\" alt=\"\" class=\"wp-image-4771\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___200px___11_-removebg-preview.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___200px___11_-removebg-preview-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div><\/div><\/div>\n\n\n\n<p>To&nbsp;see if a polygon is a trapezium, first check that it is a quadrilateral. Then check that it has one pair of parallel&nbsp;sides.<\/p>\n\n\n\n<p>This&nbsp;polygon has four sides. It is a&nbsp;quadrilateral.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___200px___11_-removebg-preview-1.png\" alt=\"\" class=\"wp-image-4772\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___200px___11_-removebg-preview-1.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___200px___11_-removebg-preview-1-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>This&nbsp;quadrilateral&nbsp;<em>also<\/em>&nbsp;has a pair of parallel sides. Parallel sides are usually marked with matching&nbsp;arrows.<\/p>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"200\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___200px___12_-removebg-preview.png\" alt=\"\" class=\"wp-image-4774\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___200px___12_-removebg-preview.png 670w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/01\/Untitled__670___200px___12_-removebg-preview-300x90.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure><\/div>\n\n\n<p>So, it is a trapezium.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-87.png\" alt=\"\" class=\"wp-image-6749\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-87.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-87-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-87-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-87-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/79925\/650\/828\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-88.png\" alt=\"\" class=\"wp-image-6750\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-88.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-88-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-88-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-88-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Identify trapeziums Key notes: Definition of Trapezium: Types of Trapeziums: Properties of Trapeziums: Identifying a Trapezium: Learn with an example \u27a1\ufe0f Is&nbsp;this polygon a&nbsp;trapezium? To&nbsp;see if a polygon is a trapezium, first check that it is a quadrilateral. Then check that it has one pair of parallel&nbsp;sides. This&nbsp;polygon has four sides. It is a&nbsp;quadrilateral. However,<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/r-4-identify-trapeziums\/\">Continue reading <span class=\"screen-reader-text\">&#8220;R.4 Identify trapeziums&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"footnotes":""},"class_list":["post-367","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/367","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=367"}],"version-history":[{"count":14,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/367\/revisions"}],"predecessor-version":[{"id":14443,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/367\/revisions\/14443"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=367"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}