{"id":154214,"date":"2022-03-25T23:17:12","date_gmt":"2022-03-25T17:47:12","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/coordinate-system-definition-types-and-quadrants\/"},"modified":"2025-04-28T15:44:53","modified_gmt":"2025-04-28T10:14:53","slug":"coordinate-system-definition-types-and-quadrants","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/coordinate-system\/","title":{"rendered":"Coordinate System"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/coordinate-system\/#Coordinate_System\" title=\"Coordinate System\">Coordinate System<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/coordinate-system\/#Quadrants_of_Coordinate_System\" title=\"Quadrants of Coordinate System\">Quadrants of Coordinate System<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/coordinate-system\/#Sign_Convention\" title=\"Sign Convention\">Sign Convention<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/coordinate-system\/#Cartesian_Co-ordinates_of_Point\" title=\"Cartesian Co-ordinates of Point\">Cartesian Co-ordinates of Point<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/coordinate-system\/#Types_of_Coordinate_System\" title=\"Types of Coordinate System\">Types of Coordinate System<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/coordinate-system\/#FAQs_on_Coordinate_System\" title=\"FAQs on Coordinate System\">FAQs on Coordinate System<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/coordinate-system\/#What_are_the_3_Coordinate_Systems\" title=\"What are the 3 Coordinate Systems?\">What are the 3 Coordinate Systems?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/coordinate-system\/#What_is_a_Coordinate_System\" title=\"What is a Coordinate System?\">What is a Coordinate System?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/coordinate-system\/#What_is_XY_Coordinate_System_called\" title=\"What is XY Coordinate System called?\">What is XY Coordinate System called?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/coordinate-system\/#What_is_Cartesian_Coordinate_System\" title=\"What is Cartesian Coordinate System?\">What is Cartesian Coordinate System?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>In ancient times, math had two parts: &#8216;<strong>Algebra<\/strong>&#8216; and &#8216;<strong>Geometry<\/strong>.&#8217; Algebra didn&#8217;t use shapes, and Geometry didn&#8217;t use equations. But a French mathematician named <strong>Rene Descartes<\/strong> brought them together. He made the Cartesian plane, which mixes algebra and geometry.<\/p>\n<p>The number line is a straight line with numbers on it. Positive numbers are on the right of zero, and negative numbers are on the left. When you put two straight lines that cross each other at right angles, they create what we call coordinate axes.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Coordinate_System\"><\/span>Coordinate System<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A <strong>Cartesian coordinate system<\/strong>, also known as a coordinate system, helps us find where a point is located. This point can be shown as a pair of numbers (x, y) called <strong>coordinates<\/strong>. The line that goes left and right is called the X-axis, and the one that goes up and down is called the Y-axis. When these two lines meet, we call that spot the origin, and we represent it with the letter &#8216;O&#8217;.<\/p>\n<p><strong>Note<\/strong><\/p>\n<ul>\n<li><strong>The coordinate plane<\/strong> is often referred to as the 2D plane.<\/li>\n<li>We call the horizontal line the XX&#8217; line and the vertical line the YY&#8217; line.<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"Quadrants_of_Coordinate_System\"><\/span>Quadrants of Coordinate System<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The Cartesian plane is split into four parts by the lines XX&#8217; and YY&#8217;, creating what we see in Figure 3:<\/p>\n<ol>\n<li>The area known as the first quadrant is labeled as XOY.<\/li>\n<li>The second quadrant is referred to as X&#8217;OY.<\/li>\n<li>The third quadrant is named X&#8217;OY&#8217;.<\/li>\n<li>Lastly, the fourth quadrant goes by the name Y&#8217;OX.<\/li>\n<\/ol>\n<p><strong>Also Check: <a href=\"https:\/\/infinitylearn.com\/surge\/maths\/polar-coordinates\/\">Polar Coordinates<\/a><\/strong><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Sign_Convention\"><\/span>Sign Convention<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>We consider the ray called &#8220;OX&#8221; on the X-axis as the positive direction, while &#8220;OX'&#8221; is considered the negative direction on the X-axis. Similarly, &#8220;OY&#8221; on the Y-axis is positive, and &#8220;OY'&#8221; is negative.<\/p>\n<p>So, when we measure distance along OX, it&#8217;s positive, and along OX&#8217;, it&#8217;s negative. Likewise, distance along OY is positive, and along OY&#8217;, it&#8217;s negative.<\/p>\n<ol>\n<li>In the first quadrant, both X and Y values are positive.<\/li>\n<li>In the second quadrant, X is negative, but Y is positive.<\/li>\n<li>In the third quadrant, both X and Y values are negative.<\/li>\n<li>In the fourth quadrant, X is positive, but Y is negative.<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"Cartesian_Co-ordinates_of_Point\"><\/span>Cartesian Co-ordinates of Point<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-698336\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/MicrosoftTeams-image-5-1.jpg\" alt=\"Cartesian Co-ordinates of a point\" width=\"1024\" height=\"749\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/MicrosoftTeams-image-5-1.jpg 1024w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/MicrosoftTeams-image-5-1-300x219.jpg 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/MicrosoftTeams-image-5-1-768x562.jpg 768w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/p>\n<p>The X-coordinate, also known as the abscissa, of a point P is the distance of that point from the horizontal X-axis. The Y-coordinate, or ordinate, of point P is the distance from the vertical Y-axis.<\/p>\n<p>So, for any point, the abscissa tells us how far it is from the X-axis, and the ordinate tells us how far it is from the Y-axis. We represent the position of a point P as (x, y).<\/p>\n<p>If we pick a point on the X-axis, its distance from the X-axis is zero. Therefore, the Y-coordinate of any point on the X-axis is always zero. So, the coordinates of a point on the X-axis are written as (x, 0).<\/p>\n<p>Similarly, for a point on the Y-axis, its distance from the Y-axis is zero, making the X-coordinate zero. Therefore, the coordinates of a point on the Y-axis are (0, y).<\/p>\n<p><strong>Here are a couple of important notes:<\/strong><\/p>\n<ol>\n<li>When x is not equal to y, (x, y) is not the same as (y, x). They are only equal if x and y have the same value, meaning x = y.<\/li>\n<li>The coordinates of the origin, which is where the X-axis and Y-axis intersect, are (0, 0).<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"Types_of_Coordinate_System\"><\/span>Types of Coordinate System<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The most commonly used <strong>coordinate systems<\/strong> include:<\/p>\n<ol>\n<li>Number line<\/li>\n<li>Cartesian coordinate system<\/li>\n<li>Polar coordinate system<\/li>\n<li>Cylindrical Coordinate System and Spherical Coordinate System<\/li>\n<\/ol>\n<p><strong>Polar Coordinate System:<\/strong> In this coordinate system, points on a plane are represented as (r, \u03b8). You can learn more about polar coordinates here.<\/p>\n<p><strong>Cylindrical and Spherical Coordinate System:<\/strong> These coordinate systems are used to describe points in three dimensions using polar coordinates, which can be written as (r, \u03b8, \u03a6).<\/p>\n<h2><span class=\"ez-toc-section\" id=\"FAQs_on_Coordinate_System\"><\/span>FAQs on Coordinate System<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_are_the_3_Coordinate_Systems\"><\/span>What are the 3 Coordinate Systems?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThere are three commonly used coordinate systems: Cartesian, cylindrical and spherical.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_a_Coordinate_System\"><\/span>What is a Coordinate System?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tA coordinate system is a method for identifying the location of a point on the earth. Most coordinate systems use two numbers, a coordinate, to identify the location of a point. Each of these numbers indicates the distance between the point and some fixed reference point, called the origin.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_XY_Coordinate_System_called\"><\/span>What is XY Coordinate System called?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tIn the Cartesian coordinate system, the x and y coordinates are part of the x-axis and y-axis in a 2D space. For a point in space, the x and y coordinates are written as an ordered pair, (x, y). The first number represents the point's position on the x-axis, and the second number represents its position on the y-axis.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_Cartesian_Coordinate_System\"><\/span>What is Cartesian Coordinate System?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe Cartesian , or rectangular , coordinate system consists of a horizontal x-axis and a vertical y-axis. The point where the axes cross is called the origin . Any point can be described as the distance it is from the origin along the x-axis and along the y-axis and is written as (x, y).\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What are the 3 Coordinate Systems?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"There are three commonly used coordinate systems: Cartesian, cylindrical and spherical.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is a Coordinate System?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"A coordinate system is a method for identifying the location of a point on the earth. Most coordinate systems use two numbers, a coordinate, to identify the location of a point. Each of these numbers indicates the distance between the point and some fixed reference point, called the origin.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is XY Coordinate System called?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"In the Cartesian coordinate system, the x and y coordinates are part of the x-axis and y-axis in a 2D space. For a point in space, the x and y coordinates are written as an ordered pair, (x, y). The first number represents the point's position on the x-axis, and the second number represents its position on the y-axis.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is Cartesian Coordinate System?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The Cartesian , or rectangular , coordinate system consists of a horizontal x-axis and a vertical y-axis. The point where the axes cross is called the origin . Any point can be described as the distance it is from the origin along the x-axis and along the y-axis and is written as (x, y).\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>In ancient times, math had two parts: &#8216;Algebra&#8216; and &#8216;Geometry.&#8217; Algebra didn&#8217;t use shapes, and Geometry didn&#8217;t use equations. But [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Coordinate System","_yoast_wpseo_title":"Coordinate System: Explained for Easy Understanding | Learn Basics","_yoast_wpseo_metadesc":"Discover the essentials of coordinate systems, from Cartesian to polar, in this comprehensive guide.","custom_permalink":"maths\/coordinate-system\/"},"categories":[13],"tags":[7220,7793,7226,7217,7791,7222,7792,7223,7218,7221,7224,7225,7219],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Coordinate System: Explained for Easy Understanding | Learn Basics<\/title>\n<meta name=\"description\" content=\"Discover the essentials of coordinate systems, from Cartesian to polar, in this comprehensive guide.\" \/>\n<meta name=\"robots\" content=\"index, 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