{"id":79319,"date":"2021-03-29T12:25:37","date_gmt":"2021-03-29T06:55:37","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=79319"},"modified":"2022-04-01T10:27:15","modified_gmt":"2022-04-01T04:57:15","slug":"simple-closed-curves","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/simple-closed-curves\/","title":{"rendered":"Simple Closed Curves &#8211; Definition, Types, Facts, Examples"},"content":{"rendered":"<p>The images or shapes that are closed by the line or line-segment are called simple closed curves. A Closed curve\u2019s starting point and ending points are the same and a closed curve doesn\u2019t cross its path. Triangle, quadrilateral, circle, pentagon, \u2026etc. are an example of the simple closed curves.<\/p>\n<p>Simple closed curves are<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-7909\" src=\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/03\/simple-closed-curves.-image-1-300x225.jpg\" alt=\"simple closed curves. image 1\" width=\"300\" height=\"225\" \/><\/p>\n<p>Generally, curves are generated with the line only. By using the line or line segments only, we can draw the number of curves.<\/p>\n<h2>Types of Curves<\/h2>\n<p>Different types of curves are there. They are<br \/>\n1. Simple Open Curves<br \/>\n2. Closed curves<br \/>\n3. Non \u2013 Simple Curve<br \/>\n4. Upward curve<br \/>\n5. Downward curve<\/p>\n<h3>1. Simple Open Curves<\/h3>\n<p>Simple open curves are created with the line-segment but there is no intersection itself. That means, there is no joining point between the starting point and ending point.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-7910\" src=\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/03\/simple-closed-curves.-image-2-300x210.jpg\" alt=\"simple closed curves. image 2\" width=\"223\" height=\"156\" \/><\/p>\n<h3>2. Closed Curves<\/h3>\n<p>Closed curves are opposite to open curves. In closed curves, line intersection will be done. That means the starting and ending points are joined at the same point.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-7911\" src=\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/03\/simple-closed-curves.-image-3-300x225.jpg\" alt=\"simple closed curves. image 3\" width=\"300\" height=\"225\" \/><\/p>\n<p>Also, See:<\/p>\n<ul>\n<li><a href=\"https:\/\/ccssmathanswers.com\/common-solid-figures\/\">Common Solid Figures<\/a><\/li>\n<\/ul>\n<h3>3. Non-Simple Curves<\/h3>\n<p>A Non-simple curve is a little bit typical compared to simple curves and it crosses its path while joining the ending point of the curve with the starting point. Again non-simple curves are divided into two types. They are<br \/>\n1. Non-simple closed curves<br \/>\n2. Non-simple open curves<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-7912\" src=\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/03\/simple-closed-curves.-image-4-300x225.jpg\" alt=\"simple closed curves. image 4\" width=\"300\" height=\"225\" \/><\/p>\n<h3>4. Upward Curve<\/h3>\n<p>Every curve is designed with a starting point and ending point. Where the two points starting and ending points are located in the upward direction is called as \u2018Upward Curve\u2019.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-7914\" src=\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/03\/simple-closed-curves.-image-5-300x225.jpg\" alt=\"simple closed curves. image 5\" width=\"300\" height=\"225\" \/><\/p>\n<h3>5.Downward Curve<\/h3>\n<p>The Downward curve is opposite to the Upward curve. The two points of the curve, starting and ending points are located in the downward direction are called as \u2018Downward Curve\u2019.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-7913\" src=\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/03\/simple-closed-curves.-image-6-300x225.jpg\" alt=\"simple closed curves. image 6\" width=\"300\" height=\"225\" \/><\/p>\n<h3>Simple Closed Curves Examples<\/h3>\n<p><strong>Find which of the following are simple closed curves?<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-7915\" src=\"https:\/\/www.worksheetsbuddy.com\/wp-content\/uploads\/2021\/03\/simple-closed-curves.-image-7-300x225.jpg\" alt=\"simple closed curves. image 7\" width=\"300\" height=\"225\" \/><\/p>\n<p>From the above diagram, we have four images.<br \/>\nClosed curves intersect themselves and there is no intersection point in open curves. In the above diagram, Figure a and d are closed curves.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The images or shapes that are closed by the line or line-segment are called simple closed curves. A Closed curve\u2019s starting point and ending points are the same and a closed curve doesn\u2019t cross its path. Triangle, quadrilateral, circle, pentagon, \u2026etc. are an example of the simple closed curves. Simple closed curves are Generally, curves &#8230; <a title=\"Simple Closed Curves &#8211; Definition, Types, Facts, Examples\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/simple-closed-curves\/\" aria-label=\"More on Simple Closed Curves &#8211; Definition, Types, Facts, Examples\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":79391,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/03\/Simple-Closed-Curves.png","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/79319"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=79319"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/79319\/revisions"}],"predecessor-version":[{"id":91970,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/79319\/revisions\/91970"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/79391"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=79319"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=79319"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=79319"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}