{"id":152365,"date":"2022-03-22T09:17:13","date_gmt":"2022-03-22T03:47:13","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/practical-geometry\/"},"modified":"2024-12-09T11:32:19","modified_gmt":"2024-12-09T06:02:19","slug":"practical-geometry","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/practical-geometry\/","title":{"rendered":"Practical Geometry"},"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\/practical-geometry\/#Practical_Geometry_-_Construction_of_Parallel_Lines\" title=\"Practical Geometry \u2013 Construction of Parallel Lines\">Practical Geometry \u2013 Construction of Parallel Lines<\/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\/practical-geometry\/#Practical_Geometry_-_Construction_of_Triangle\" title=\"Practical Geometry \u2013 Construction of Triangle\">Practical Geometry \u2013 Construction of Triangle<\/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\/practical-geometry\/#Practical_Geometry_-_Constructing_triangle_SSS_Criterion\" title=\"Practical Geometry &#8211; Constructing triangle (SSS Criterion)\">Practical Geometry &#8211; Constructing triangle (SSS Criterion)<\/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\/practical-geometry\/#Practical_Geometry_-_Constructing_triangle_SAS_Criterion\" title=\"Practical Geometry &#8211; Constructing triangle (SAS Criterion)\">Practical Geometry &#8211; Constructing triangle (SAS Criterion)<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/practical-geometry\/#Practical_Geometry_-_Constructing_Triangle_ASA_Criterion\" title=\"Practical Geometry &#8211; Constructing Triangle (ASA Criterion)\">Practical Geometry &#8211; Constructing Triangle (ASA Criterion)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/practical-geometry\/#Practical_Geometry_-_Constructing_Triangle_RHS_Criterion\" title=\"Practical Geometry &#8211; Constructing Triangle (RHS Criterion)\">Practical Geometry &#8211; Constructing Triangle (RHS Criterion)<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/practical-geometry\/#FAQs_on_Practical_Geometry\" title=\"FAQs on Practical Geometry\">FAQs on Practical Geometry<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/practical-geometry\/#What_is_the_concept_of_practical_geometry\" title=\"What is the concept of practical geometry?\">What is the concept of practical geometry?<\/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\/practical-geometry\/#What_are_the_practical_uses_of_geometry\" title=\"What are the practical uses of geometry?\">What are the practical uses of geometry?<\/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\/practical-geometry\/#What_do_I_learn_in_the_chapter_practical_geometry\" title=\"What do I learn in the chapter practical geometry?\">What do I learn in the chapter practical geometry?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/practical-geometry\/#What_is_practical_geometry\" title=\"What is practical geometry?\">What is practical geometry?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/practical-geometry\/#Who_is_the_father_of_practical_geometry\" title=\"Who is the father of practical geometry?\">Who is the father of practical geometry?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>Practical Geometry involves the construction of various shapes and sizes, making it a fundamental branch of geometry. It introduces us to a range of two-dimensional and three-dimensional shapes. In practical geometry, we acquire the skills to accurately draw these shapes while maintaining their proper dimensions.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Practical_Geometry_-_Construction_of_Parallel_Lines\"><\/span>Practical Geometry \u2013 Construction of Parallel Lines<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Two lines are considered parallel if they never intersect or meet at a single point. Parallel lines extend infinitely in both directions and can be represented by the symbol &#8216;||&#8217;. Real-life examples of parallel lines include railway tracks and the edges of a ruler.<\/p>\n<p>In practical geometry, the only tools needed to draw a line parallel to another line are a ruler and compass. To learn the step-by-step process of drawing parallel lines, you can click here.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Practical_Geometry_-_Construction_of_Triangle\"><\/span>Practical Geometry \u2013 Construction of Triangle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A triangle is a closed geometric shape characterized by three sides and three angles. The key properties that define triangles include:<\/p>\n<ul>\n<li>The sum of all three interior angles in a triangle is always equal to 180 degrees.<\/li>\n<li>An exterior angle of a triangle is equal to the sum of the two interior opposite angles.<\/li>\n<li>The sum of the lengths of any two sides of a triangle is always greater than the length of the third side.<\/li>\n<li>In a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides, known as the adjacent side and the perpendicular side.<\/li>\n<\/ul>\n<p>To construct a triangle, specific conditions must be satisfied based on the above properties, including:<\/p>\n<ol>\n<li>Knowing the lengths of all three sides of the triangle.<\/li>\n<li>Having knowledge of two sides and the included angle between them.<\/li>\n<li>Being aware of two angles and the included side between them.<\/li>\n<\/ol>\n<p>For a right triangle, the essential information required for construction includes knowing the lengths of the hypotenuse and one of the legs.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Practical_Geometry_-_Constructing_triangle_SSS_Criterion\"><\/span>Practical Geometry &#8211; Constructing triangle (SSS Criterion)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Constructing a triangle is a process when we know the lengths of all three sides. Here are the steps to create a triangle:<\/p>\n<ol>\n<li>Select one of the sides as the base of the triangle, which means you already know the two endpoints of the base.<\/li>\n<li>Using a ruler and compass, measure the length of another side of the triangle and mark a point above the base.<\/li>\n<li>Once you&#8217;ve marked the appropriate distance, draw an arc above the base using the compass.<\/li>\n<li>Next, measure the length of the third side of the triangle using the ruler and compass, and make a mark on the arc.<\/li>\n<li>The point where the arc intersects with the mark for the third side is your third vertex, completing the construction of the triangle<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"Practical_Geometry_-_Constructing_triangle_SAS_Criterion\"><\/span>Practical Geometry &#8211; Constructing triangle (SAS Criterion)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In the Side-Angle-Side (SAS) condition, we can construct a triangle when we know two sides of the triangle and the angle between them.<\/p>\n<ol>\n<li>Begin by selecting one of the given sides as the base of the triangle. This immediately provides us with two known vertices of the triangle.<\/li>\n<li>Using one of these vertices as the center, with the help of ruler and protractor to accurately measure the specified angle. Mark this point on the paper as it will be one of the triangle&#8217;s vertices.<\/li>\n<li>Now, still using the same vertex as the center, use a compass to measure the length of the other given side of the triangle. Then, draw an arc from the marked vertex to obtain the location of the third vertex.<\/li>\n<li>Finally, join the three vertices to complete the construction of the triangle.<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"Practical_Geometry_-_Constructing_Triangle_ASA_Criterion\"><\/span>Practical Geometry &#8211; Constructing Triangle (ASA Criterion)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The ASA criterion for triangles is similar to the SAS criterion. In ASA, we are provided with two angles of the triangle and the side located between these angles. Using this process, we can proceed to construct the triangle.<\/p>\n<ul>\n<li>Similar to other triangle constructions, the process begins with drawing the base of the triangle based on the given side.<\/li>\n<li>Next, using a protractor, place it at both ends of the baseline (the vertices of the triangle) and measure the two provided angles.<\/li>\n<li>By connecting the points to their respective vertices and extending these lines, we can identify the intersection point of the two lines.<\/li>\n<li>This point serves as the third vertex of the triangle. As a result, we have successfully constructed a triangle.<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Practical_Geometry_-_Constructing_Triangle_RHS_Criterion\"><\/span>Practical Geometry &#8211; Constructing Triangle (RHS Criterion)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>As we know a right triangle is a type of triangle in which one of its angles measures precisely 90 degrees. According to the RHS criterion, it is possible to create a right triangle when we have information about both the length of its hypotenuse side and the length of either of its leg-sides (either the perpendicular side or the adjacent side).<\/p>\n<h2><span class=\"ez-toc-section\" id=\"FAQs_on_Practical_Geometry\"><\/span>FAQs on Practical Geometry<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_is_the_concept_of_practical_geometry\"><\/span>What is the concept of practical geometry?<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\t Practical geometry is a branch of geometry that focuses on applying geometric principles to solve real-world problems and construct various shapes and figures using tools like a compass, ruler, and protractor.\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_are_the_practical_uses_of_geometry\"><\/span>What are the practical uses of geometry?<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\tGeometry has many practical applications, including architecture, engineering, design, cartography (map-making), navigation, computer graphics, and even in everyday tasks like measuring, cutting, and building.\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_do_I_learn_in_the_chapter_practical_geometry\"><\/span>What do I learn in the chapter practical geometry?<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 a chapter on practical geometry, you typically learn how to use geometric concepts and tools to construct and solve problems involving lines, angles, triangles, circles, and other geometric shapes.\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_practical_geometry\"><\/span>What is practical geometry?<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\tPractical geometry is the application of geometric principles to solve real-world problems, design objects, and construct various geometric shapes accurately.\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=\"Who_is_the_father_of_practical_geometry\"><\/span>Who is the father of practical geometry?<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\tEuclid, a Greek mathematician from around 300 BCE, is often regarded as the father of practical geometry because his work Elements laid the foundation for geometry as we know it today, including its practical applications.\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 is the concept of practical geometry?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Practical geometry is a branch of geometry that focuses on applying geometric principles to solve real-world problems and construct various shapes and figures using tools like a compass, ruler, and protractor.\"\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 are the practical uses of geometry?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": 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problems, design objects, and construct various geometric shapes accurately.\"\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\": \"Who is the father of practical geometry?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Euclid, a Greek mathematician from around 300 BCE, is often regarded as the father of practical geometry because his work Elements laid the foundation for geometry as we know it today, including its practical applications.\"\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>Practical Geometry involves the construction of various shapes and sizes, making it a fundamental branch of geometry. It introduces us [&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":"Practical Geometry","_yoast_wpseo_title":"Practical Geometry | Construction of Parallel Lines","_yoast_wpseo_metadesc":"Discover the real-world applications of geometry in construction, design, and problem-solving. Learn hands-on skills today!","custom_permalink":"maths\/practical-geometry\/"},"categories":[13],"tags":[9640,9631,9630,9629,9628,9639,9635,9634,9633,9638,9636,9637,9632],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Practical Geometry | Construction of Parallel Lines<\/title>\n<meta name=\"description\" content=\"Discover the real-world applications of geometry in construction, design, and problem-solving. 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