{"id":26080,"date":"2023-11-28T08:46:56","date_gmt":"2023-11-28T03:16:56","guid":{"rendered":"https:\/\/btechgeeks.com\/?p=26080"},"modified":"2023-11-29T11:46:24","modified_gmt":"2023-11-29T06:16:24","slug":"java-program-to-check-if-given-four-points-form-a-square","status":"publish","type":"post","link":"https:\/\/btechgeeks.com\/java-program-to-check-if-given-four-points-form-a-square\/","title":{"rendered":"Java Program to Check If Given Four Points Form a Square"},"content":{"rendered":"<p>In the previous article, we have seen <a href=\"https:\/\/btechgeeks.com\/java-program-to-find-total-area-two-rectangles-overlap\/\">Java Program to Find Total Area of Two Overlapping Rectangles<\/a><\/p>\n<p>In this article, we will see how to check whether the given 4 points form a square or not by using Java programming language.<\/p>\n<h2>Java Program to Check If Given Four Points Form a Square<\/h2>\n<p>Before jumping into the program directly, let&#8217;s see how we can check that given four points form a square or not.<\/p>\n<p><strong>Explanation:<\/strong><\/p>\n<p>Let us assume there is a Quadrilateral having 4 points A,B,C,D<\/p>\n<p>Now in order to check if the quadrilateral is a valid square or not, we have to check 2 conditions<\/p>\n<ol>\n<li>Distance of all the sides be equal I.e AB=BC=CD=DA<\/li>\n<li>Distance of diagonals be equal I.e AC=BD<\/li>\n<\/ol>\n<p>Now in order to know the distance between 2 points we have the following formula as<\/p>\n<p>AB = \u221a[(x<sub>2<\/sub>\u2212x<sub>1<\/sub>)<sup>2<\/sup>\u00a0+ (y<sub>2<\/sub>\u2212y<sub>1<\/sub>)<sup>2<\/sup>]<\/p>\n<p>Where,<\/p>\n<ul>\n<li>Coordinate of A is (x1,y1)<\/li>\n<li>Coordinate of B is (x2,y2)<\/li>\n<\/ul>\n<p><b>Example:<\/b><\/p>\n<p>Let A(0,0), B(0,1), C(1,1), D(1,0)<\/p>\n<p>Now,<\/p>\n<p>AB =\u00a0 \u221a[(x<sub>2<\/sub>\u2212x<sub>1<\/sub>)<sup>2<\/sup>\u00a0+ (y<sub>2<\/sub>\u2212y<sub>1<\/sub>)<sup>2<\/sup>] = \u221a(0+1) =\u221a1<\/p>\n<p>BC = \u221a(1+0) = \u221a1<\/p>\n<p>CD = \u221a(0+1) = \u221a1<\/p>\n<p>DA = \u221a(1+0) = \u221a1<\/p>\n<p>Since AB=BC=CD=DA, condition 1 satisfies.<\/p>\n<p>Now,<\/p>\n<p>AC = \u221a(1+1) = \u221a2<\/p>\n<p>BD = \u221a(1+1) = \u221a2<\/p>\n<p>Since AC=BD, condition 2 satisfies.<\/p>\n<p>Since, both conditions satisfies hence we can say quadrilateral ABCD is a valid square.<\/p>\n<p>Let&#8217;s see different ways to check whether the given 4 points form a square or not.<\/p>\n<ul>\n<li><a href=\"#By_Using_Static_Input_Value\">By Using Static Input Value<\/a><\/li>\n<li><a href=\"#By_Using_User_Input_Value\">By Using User Input Value<\/a><\/li>\n<\/ul>\n<h3><a id=\"By_Using_Static_Input_Value\"><\/a>Method-1: Java Program to Check If Given Four Points Form a Square By Using Static Input Value<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Declare an integer variable say \u2018<code>x1<\/code>\u2019 &amp; \u2018<code>y1<\/code>\u2019 and assign the value to it, which holds the coordinate value of the point <code>A<\/code>.<\/li>\n<li>Declare an integer variable say \u2018<code>x2<\/code>\u2019 &amp; \u2018<code>y2<\/code>\u2019 and assign the value to it, which holds the coordinate value of the point <code>B<\/code>.<\/li>\n<li>Declare an integer variable say \u2018<code>x3<\/code>\u2019 &amp; \u2018<code>y3<\/code>\u2019 and assign the value to it, which holds the coordinate value of the point <code>C<\/code>.<\/li>\n<li>Declare an integer variable say \u2018<code>x4<\/code>\u2019 &amp; \u2018<code>y4<\/code>\u2019 and assign the value to it, which holds the coordinate value of the point <code>D<\/code>.<\/li>\n<li>Now, we will find the distance between all the points using the formula<\/li>\n<\/ul>\n<p>AB = \u221a(((x2\u2212x1)*(x2\u2212x1))\u00a0+ ((y2\u2212y1)*(y2\u2212y1)))<\/p>\n<p>BC = \u221a(((x3\u2212x2)*(x3\u2212x2))\u00a0+ ((y3\u2212y2)*(y3\u2212y2)))<\/p>\n<p>CD = \u221a(((x4\u2212x3)*(x4\u2212x3))\u00a0+ ((y4\u2212y3)*(y4\u2212y3)))<\/p>\n<p>DA = \u221a(((x4\u2212x1)*(x4\u2212x1))\u00a0+ ((y4\u2212y1)*(y4\u2212y1)))<\/p>\n<p>AC = \u221a(((x3\u2212x1)*(x3\u2212x1))\u00a0+ ((y3\u2212y1)*(y3\u2212y1)))<\/p>\n<p>BD = \u221a(((x4\u2212x2)*(x4\u2212x2))\u00a0+ ((y4\u2212y2)*(y4\u2212y2)))<\/p>\n<ul>\n<li>Now, if AB==BC &amp;&amp; BC==CD &amp;&amp; CD==DA &amp;&amp; AC==BD then print the result as valid square.<\/li>\n<\/ul>\n<p><strong>Program:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"java\">import java.io.*;\r\nclass Main\r\n{\r\n    public static void main(String [] args)\r\n    {\r\n            int x1 = 0;\/\/ x-cordinate of A\r\n    \t\tint y1 = 0;\/\/ y-cordinate of A\r\n    \t\tint x2 = 0;\/\/ x-cordinate of B\r\n    \t\tint y2 = 1;\/\/ y-cordinate of B\r\n    \t\tint x3 = 1;\/\/ x-cordinate of C\r\n    \t\tint y3 = 1;\/\/ y-cordinate of C\r\n    \t\tint x4 = 1;\/\/ x-cordinate of D\r\n    \t\tint y4 = 0;\/\/ y-cordinate of D\r\n    \t\t\r\n            \/\/ distance formula using 2 point 2d fomula \r\n    \t\tdouble AB = Math.sqrt(((x2-x1)*(x2-x1)) + ((y2-y1)*(y2-y1)));\r\n    \t\tdouble BC = Math.sqrt(((x3-x2)*(x3-x2)) + ((y3-y2)*(y3-y2)));\r\n    \t\tdouble CD = Math.sqrt(((x4-x3)*(x4-x3)) + ((y4-y3)*(y4-y3)));\r\n    \t\tdouble DA = Math.sqrt(((x4-x1)*(x4-x1)) + ((y4-y1)*(y4-y1)));\r\n    \t\tdouble AC = Math.sqrt(((x3-x1)*(x3-x1)) + ((y3-y1)*(y3-y1)));\r\n    \t\tdouble BD = Math.sqrt(((x4-x2)*(x4-x2)) + ((y4-y2)*(y4-y2)));\r\n    \t\t\r\n            \/\/ checking conditions\r\n    \t\tif(AB==BC &amp;&amp; BC==CD &amp;&amp; CD==DA &amp;&amp; AC==BD)\r\n    \t\t    System.out.println(\"Valid square\");\r\n    \t\telse\r\n    \t\t    System.out.println(\"Not a valid square\");\r\n    }\r\n}\r\n\r\n<\/pre>\n<pre>Output:\r\n\r\nValid square<\/pre>\n<h3><a id=\"By_Using_User_Input_Value\"><\/a>Method-2: Java Program to Check If Given Four Points Form a Square By Using Dynamic Input Value<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Declare an integer variable say \u2018<code>x1<\/code>\u2019 &amp; \u2018<code>y1<\/code>\u2019 which holds the coordinate value of the point <code>A<\/code>.<\/li>\n<li>Declare an integer variable say \u2018<code>x2<\/code>\u2019 &amp; \u2018<code>y2<\/code>\u2019 which holds the coordinate value of the point <code>B<\/code>.<\/li>\n<li>Declare an integer variable say \u2018<code>x3<\/code>\u2019 &amp; \u2018<code>y3<\/code>\u2019 which holds the coordinate value of the point <code>C<\/code>.<\/li>\n<li>Declare an integer variable say \u2018<code>x4<\/code>\u2019 &amp; \u2018<code>y4<\/code>\u2019 which holds the coordinate value of the point <code>D<\/code>.<\/li>\n<li>Then we will take the value of \u2018x1\u2019, \u2018y1\u2019, \u2018x2\u2019, \u2018y2\u2019, \u2018r1\u2019, \u2018r2\u2019 as user input using scanner class.<\/li>\n<li>Now, we will find the distance between all the points using the formula<\/li>\n<\/ul>\n<p>AB = \u221a(((x2\u2212x1)*(x2\u2212x1))\u00a0+ ((y2\u2212y1)*(y2\u2212y1)))<\/p>\n<p>BC = \u221a(((x3\u2212x2)*(x3\u2212x2))\u00a0+ ((y3\u2212y2)*(y3\u2212y2)))<\/p>\n<p>CD = \u221a(((x4\u2212x3)*(x4\u2212x3))\u00a0+ ((y4\u2212y3)*(y4\u2212y3)))<\/p>\n<p>DA = \u221a(((x4\u2212x1)*(x4\u2212x1))\u00a0+ ((y4\u2212y1)*(y4\u2212y1)))<\/p>\n<p>AC = \u221a(((x3\u2212x1)*(x3\u2212x1))\u00a0+ ((y3\u2212y1)*(y3\u2212y1)))<\/p>\n<p>BD = \u221a(((x4\u2212x2)*(x4\u2212x2))\u00a0+ ((y4\u2212y2)*(y4\u2212y2)))<\/p>\n<ul>\n<li>Now, if AB==BC &amp;&amp; BC==CD &amp;&amp; CD==DA &amp;&amp; AC==BD then print the result as valid square.<\/li>\n<\/ul>\n<p><strong>Program:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"java\">import java.io.*;\r\nimport java.util.Scanner;\r\nclass Main\r\n{\r\n    public static void main(String [] args)\r\n    {\r\n        Scanner s = new Scanner(System.in); \r\n        System.out.println(\"Enter the value of x1 coordinate of A:\");\r\n        int x1 = s.nextInt(); \/\/ x-cordinate of A\r\n        System.out.println(\"Enter the value of y1 coordinate of A:\");\r\n        int y1 = s.nextInt();\/\/ y-cordinate of A\r\n        System.out.println(\"Enter the value of x1 coordinate of B:\");\r\n        int x2 = s.nextInt();\/\/ x-cordinate of B\r\n        System.out.println(\"Enter the value of y1 coordinate of B:\");\r\n        int y2 = s.nextInt();\/\/ y-cordinate of B\r\n        System.out.println(\"Enter the value of x1 coordinate of C:\");\r\n        int x3 = s.nextInt();\/\/ x-cordinate of C\r\n        System.out.println(\"Enter the value of y1 coordinate of C:\");\r\n        int y3 = s.nextInt();\/\/ y-cordinate of C\r\n        System.out.println(\"Enter the value of x1 coordinate of D:\");\r\n        int x4 = s.nextInt();\/\/ x-cordinate of D\r\n        System.out.println(\"Enter the value of y1 coordinate of A:\");\r\n        int y4 = s.nextInt();\/\/ y-cordinate of D\r\n        \r\n        \/\/ distance formula using 2 point 2d fomula \r\n        double AB = Math.sqrt(((x2-x1)*(x2-x1)) + ((y2-y1)*(y2-y1)));\r\n        double BC = Math.sqrt(((x3-x2)*(x3-x2)) + ((y3-y2)*(y3-y2)));\r\n        double CD = Math.sqrt(((x4-x3)*(x4-x3)) + ((y4-y3)*(y4-y3)));\r\n        double DA = Math.sqrt(((x4-x1)*(x4-x1)) + ((y4-y1)*(y4-y1)));\r\n        double AC = Math.sqrt(((x3-x1)*(x3-x1)) + ((y3-y1)*(y3-y1)));\r\n        double BD = Math.sqrt(((x4-x2)*(x4-x2)) + ((y4-y2)*(y4-y2)));\r\n        \r\n        \/\/ checking conditions\r\n        if(AB==BC &amp;&amp; BC==CD &amp;&amp; CD==DA &amp;&amp; AC==BD)\r\n        System.out.println(\"Valid square\");\r\n        else\r\n        System.out.println(\"Not a valid square\");\r\n    }\r\n}\r\n<\/pre>\n<pre>Output:\r\n\r\nCase-1\r\nEnter the value of x1 coordinate of A:\r\n4\r\nEnter the value of y1 coordinate of A:\r\n4\r\nEnter the value of x1 coordinate of B:\r\n4\r\nEnter the value of y1 coordinate of B:\r\n8\r\nEnter the value of x1 coordinate of C:\r\n8\r\nEnter the value of y1 coordinate of C:\r\n8\r\nEnter the value of x1 coordinate of D:\r\n8\r\nEnter the value of y1 coordinate of A:\r\n4\r\nValid square\r\n\r\nCase-2\r\nEnter the value of x1 coordinate of A:\r\n1\r\nEnter the value of y1 coordinate of A:\r\n2\r\nEnter the value of x1 coordinate of B:\r\n3\r\nEnter the value of y1 coordinate of B:\r\n4\r\nEnter the value of x1 coordinate of C:\r\n5\r\nEnter the value of y1 coordinate of C:\r\n6\r\nEnter the value of x1 coordinate of D:\r\n7\r\nEnter the value of y1 coordinate of A:\r\n8\r\nNot a valid square<\/pre>\n<p>Don\u2019t miss the chance of <a href=\"https:\/\/btechgeeks.com\/java-programming-examples\/\">Java programs examples with output<\/a> pdf free download as it is very essential for all beginners to experienced programmers for cracking the interviews.<\/p>\n<p><strong> Related Java Articles:<\/strong><\/p>\n<ul>\n<li><a href=\"https:\/\/btechgeeks.com\/java-program-to-check-whether-a-point-exists-in-circle-sector-or-not\/\">Java Program to Check Whether a Point Exists in Circle Sector or Not<\/a><\/li>\n<li><a href=\"https:\/\/btechgeeks.com\/java-program-to-solve-pizza-cut-problemcircle-division-by-lines\/\">Java Program to Solve Pizza Cut Problem(Circle Division by Lines)<\/a><\/li>\n<li><a href=\"https:\/\/btechgeeks.com\/java-program-to-find-minimum-revolutions-to-move-center-of-a-circle-to-a-target\/\">Java Program to Find Minimum Revolutions to Move Center of a Circle to a Target<\/a><\/li>\n<li><a href=\"https:\/\/btechgeeks.com\/java-program-to-check-if-a-line-touches-or-intersects-a-circle\/\">Java Program to Check if a Line Touches or Intersects a Circle<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In the previous article, we have seen Java Program to Find Total Area of Two Overlapping Rectangles In this article, we will see how to check whether the given 4 points form a square or not by using Java programming language. Java Program to Check If Given Four Points Form a Square Before jumping into &#8230; <a title=\"Java Program to Check If Given Four Points Form a Square\" class=\"read-more\" href=\"https:\/\/btechgeeks.com\/java-program-to-check-if-given-four-points-form-a-square\/\" aria-label=\"More on Java Program to Check If Given Four Points Form a Square\">Read more<\/a><\/p>\n","protected":false},"author":9,"featured_media":26176,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[15],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Java Program to Check If Given Four Points Form a Square - BTech Geeks<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/btechgeeks.com\/java-program-to-check-if-given-four-points-form-a-square\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Java Program to Check If Given Four Points Form a Square - BTech Geeks\" \/>\n<meta property=\"og:description\" content=\"In the previous article, we have seen Java Program to Find Total Area of Two Overlapping Rectangles In this article, we will see how to check whether the given 4 points form a square or not by using Java programming language. 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Java Program to Check If Given Four Points Form a Square Before jumping into ... 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