{"id":71965,"date":"2021-02-04T15:17:33","date_gmt":"2021-02-04T09:47:33","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=71965"},"modified":"2021-02-04T15:17:37","modified_gmt":"2021-02-04T09:47:37","slug":"rd-sharma-chapter-7-class-9-maths-exercise-7-1-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-7-class-9-maths-exercise-7-1-solutions\/","title":{"rendered":"RD Sharma Chapter 7 Class 9 Maths Exercise 7.1 Solutions"},"content":{"rendered":"\n<p>RD Sharma Chapter 7 Class 9 Maths Exercise 7.1 Solutions is based on the <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-7-introduction-to-euclids-geometry\/\" target=\"_blank\" rel=\"noopener noreferrer\">Introduction to Euclid\u2019s Geometry<\/a>. Students will learn about the fundamental concepts of geometry like- line, plane, and points in this exercise. We will discuss the Topics and Subtopics include illustration in this exercise on the topics like- Line Segment, Intersecting Lines, Half-Plane, Parallel Lines, Interior Point of a line segment, Distance between two points, etc. Apart from these subtopics, students will get to know about the Axioms (The Fundamental facts, which are taken for granted, without facts, are called axioms).<\/p>\n<p>Find the RD Sharma Chapter 7 Class 9 Maths Exercise 7.1 Solutions PDF with this article, which helps students practice for the exam and get to know about various types of questions related to Euclid\u2019s Geometry. The questions are taken from the CBSE Class 9 and RD Sharma. By practicing these problems rigorously, one can able to apprehend the concepts completely.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 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\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69d7d85758c17\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" 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: #000000;color:#000000\" 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-69d7d85758c17\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-7-class-9-maths-exercise-7-1-solutions\/#download-rd-sharma-chapter-7-class-9-maths-exercise-71-solutions-pdf\" title=\"Download RD Sharma Chapter 7 Class 9 Maths Exercise 7.1 Solutions PDF\">Download RD Sharma Chapter 7 Class 9 Maths Exercise 7.1 Solutions PDF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-7-class-9-maths-exercise-7-1-solutions\/#important-definition-rd-sharma-chapter-7-class-9-maths-exercise-71-solutions\" title=\"Important Definition RD Sharma Chapter 7 Class 9 Maths Exercise 7.1 Solutions\">Important Definition RD Sharma Chapter 7 Class 9 Maths Exercise 7.1 Solutions<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-7-class-9-maths-exercise-7-1-solutions\/#axioms\" title=\"Axioms\">Axioms<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-7-class-9-maths-exercise-7-1-solutions\/#halves-of-equal-are-equal\" title=\"Halves of equal are equal\">Halves of equal are equal<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-7-class-9-maths-exercise-7-1-solutions\/#line-point-and-plane\" title=\"Line, Point, and Plane\">Line, Point, and Plane<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-7-class-9-maths-exercise-7-1-solutions\/#parallel-lines\" title=\"Parallel Lines\">Parallel Lines<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-7-class-9-maths-exercise-7-1-solutions\/#intersecting-lines\" title=\"Intersecting Lines\">Intersecting Lines<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-7-class-9-maths-exercise-7-1-solutions\/#line-segment\" title=\"Line Segment\">Line Segment<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-7-class-9-maths-exercise-7-1-solutions\/#interior-point-of-a-line-segment\" title=\"Interior Point of a Line Segment\">Interior Point of a Line Segment<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-7-class-9-maths-exercise-7-1-solutions\/#congruence-of-line-segments\" title=\"Congruence of Line Segments\">Congruence of Line Segments<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-7-class-9-maths-exercise-7-1-solutions\/#distance-between-two-points\" title=\"Distance Between Two Points\">Distance Between Two Points<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-7-class-9-maths-exercise-7-1-solutions\/#mid-point-of-a-line-segment\" title=\"Mid-Point of a Line Segment\">Mid-Point of a Line Segment<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-7-class-9-maths-exercise-7-1-solutions\/#half-plane\" title=\"Half-Plane\">Half-Plane<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-7-class-9-maths-exercise-71-solutions-pdf\"><\/span>Download RD Sharma Chapter 7 Class 9 Maths Exercise 7.1 Solutions PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/Solutions-for-Class-9-Maths-Chapter-7-Introduction-to-Euclids-Geometry-Exercise-7.1.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/Solutions-for-Class-9-Maths-Chapter-7-Introduction-to-Euclids-Geometry-Exercise-7.1.pdf\">Solutions for Class 9 Maths Chapter 7 Introduction to Euclid&#8217;s Geometry Exercise 7.1<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definition-rd-sharma-chapter-7-class-9-maths-exercise-71-solutions\"><\/span>Important Definition RD Sharma Chapter 7 Class 9 Maths Exercise 7.1 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Please have a look at the points we have mentioned below. We have provided illustrations about all the RD Sharma Chapter 7 Class 9 Maths Exercise 7.1 Solutions with topics and subtopics related to the Introduction to Euclid\u2019s Geometry. The list of the topics are-<\/p>\n<ol>\n<li>Axioms<\/li>\n<li>Halves of equality are equal.<\/li>\n<li>Three basic concepts in geometry, namely,- line, point, and plane<\/li>\n<li>Properties of point and lines<\/li>\n<li>Parallel Lines<\/li>\n<li>Intersecting Lines<\/li>\n<li>Line segment<\/li>\n<li>Interior point of a line segment<\/li>\n<li>Congruence of line segments<\/li>\n<li>Length axioms of a line segment<\/li>\n<li>Line segment length axiom, congruent line segment length axiom, Line segment construction axiom<\/li>\n<li>Distance between two points<\/li>\n<li>Mid-point of a line segment<\/li>\n<li>Ray, Half-line, line separation<\/li>\n<li>Half-Plane<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"axioms\"><\/span>Axioms<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The term axiom is applied in two related but perceptible senses: &#8220;logical axioms&#8221; and &#8220;non-logical axioms.&#8221;<\/p>\n<h3><span class=\"ez-toc-section\" id=\"halves-of-equal-are-equal\"><\/span>Halves of equal are equal<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Equal means the elements have to be of the same size. Each element is called a half. Two halves equal to one whole.<\/p>\n<p>Suppose a&gt;b &amp; b&gt;c then a&gt;c.<\/p>\n<p>The whole is equal to the sum of its elements and greater than any of its elements.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"line-point-and-plane\"><\/span>Line, Point, and Plane<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ol>\n<li><strong>Line-<\/strong> A line is interpreted as a line of points that continues infinitely in two directions. It has only one dimension, length. Points, which are on the equivalent line are known as the collinear points,<\/li>\n<li><strong>Points-<\/strong> A point in geometry is a position. It has no size means- no width, no length, and no depth. A point is shown with a dot.<\/li>\n<li><strong>Plane-<\/strong> A plane continues infinitely in two dimensions. It has no thickness. The coordinate plane is an example of a Plane. It is identified by three points in the plane that are not on the same line.<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"parallel-lines\"><\/span>Parallel Lines<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Parallel lines do not meet each other. Two straight lines in a plane that don&#8217;t intersect at any point are said to be parallel.<\/p>\n<p>The symbol for &#8220;parallel to&#8221; is \/\/.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"intersecting-lines\"><\/span>Intersecting Lines<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>When two or more lines meet each other in a plane, they are known as intersecting lines. The intersecting lines share a basic point, which endures on all the intersecting lines, and is known as the point of intersection.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"line-segment\"><\/span>Line Segment<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A line segment has two endpoints in line. The length of the line segment is set, which is the distance between two fixed points. Here, the length is measured by metric units such as centimeters (cm), millimeters (mm), or by conventional units like- feet or inches.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"interior-point-of-a-line-segment\"><\/span>Interior Point of a Line Segment<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Suppose the line segment is AB (endpoints are A and B). Then, the points lying in between A and B, excluding the points A and B, are known as Interior Point of a Line Segment.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"congruence-of-line-segments\"><\/span>Congruence of Line Segments<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Two line segments are supposed to be congruent to each other if they have the same lengths. They may or may not join at the equivalent angle with an axis or point in the plane.<\/p>\n<p>If the two ends of the two-line segments lie on one another, they are congruent.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"distance-between-two-points\"><\/span>Distance Between Two Points<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>When we comprehend the horizontal and vertical distances between two points, we can calculate the straight line distance like this:<\/p>\n<p>distance = \u221aa\u00b2 + b\u00b2<\/p>\n<h3><span class=\"ez-toc-section\" id=\"mid-point-of-a-line-segment\"><\/span>Mid-Point of a Line Segment<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid of both of the sections and the endpoints. It bisects the section. In simple words, the midpoint is halfway between the two endpoints of the line.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"half-plane\"><\/span>Half-Plane<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A half-plane is a planar area consisting of all points on one side of an endless straight line &amp; no points on the other side. If the points on the line are composed, then it is called a closed half-plane.<\/p>\n<p><a href=\"https:\/\/cbse.gov.in\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Know about CBSE Board<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>RD Sharma Chapter 7 Class 9 Maths Exercise 7.1 Solutions is based on the Introduction to Euclid\u2019s Geometry. Students will learn about the fundamental concepts of geometry like- line, plane, and points in this exercise. We will discuss the Topics and Subtopics include illustration in this exercise on the topics like- Line Segment, Intersecting Lines, &#8230; <a title=\"RD Sharma Chapter 7 Class 9 Maths Exercise 7.1 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-7-class-9-maths-exercise-7-1-solutions\/\" aria-label=\"More on RD Sharma Chapter 7 Class 9 Maths Exercise 7.1 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":71966,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2985,2917,73719,73411],"tags":[3081,3086,3085],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71965"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/241"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=71965"}],"version-history":[{"count":3,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71965\/revisions"}],"predecessor-version":[{"id":73411,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/71965\/revisions\/73411"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/71966"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=71965"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=71965"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=71965"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}