{"id":73909,"date":"2021-02-08T13:25:42","date_gmt":"2021-02-08T07:55:42","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=73909"},"modified":"2021-02-08T13:25:46","modified_gmt":"2021-02-08T07:55:46","slug":"rd-sharma-chapter-15-class-9-maths-exercise-15-1-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-15-class-9-maths-exercise-15-1-solutions\/","title":{"rendered":"RD Sharma Chapter 15 Class 9 Maths Exercise 15.1 Solutions"},"content":{"rendered":"\n<p>RD Sharma Chapter 15 Class 9 Maths Exercise 15.1 Solutions is about Figures on the same base and between the same parallels, which is concerned under the Area of Parallelograms and Triangles. This theory helps students distinguish figures that lie on the same base and between the same parallel that will help solve complicated problems of the exercise.<\/p>\n<p>Check the attached RD Sharma Chapter 15 Class 9 Maths Exercise 15.1 Solutions PDF, which helps students to solve several types of questions based on this exercise. Practicing with the PDF help to score well in the exam as it is prepared by the professionals through the RD Sharma and CBSE Text Book of Class 9.<\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-15-areas-of-parallelograms-and-triangles\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Learn about RD Sharma Class 9 Chapter 15 (Areas Of Parallelograms And Triangles)<\/strong><\/a><\/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-69ed52a23e4a3\" 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-69ed52a23e4a3\"><\/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-15-class-9-maths-exercise-15-1-solutions\/#download-rd-sharma-chapter-15-class-9-maths-exercise-151-solutions-pdf\" title=\"Download RD Sharma Chapter 15 Class 9 Maths Exercise 15.1 Solutions PDF\">Download RD Sharma Chapter 15 Class 9 Maths Exercise 15.1 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-15-class-9-maths-exercise-15-1-solutions\/#important-definitions-rd-sharma-chapter-15-class-9-maths-exercise-151-solutions\" title=\"Important Definitions RD Sharma Chapter 15 Class 9 Maths Exercise 15.1 Solutions\">Important Definitions RD Sharma Chapter 15 Class 9 Maths Exercise 15.1 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-15-class-9-maths-exercise-15-1-solutions\/#figures-on-the-same-base-and-between-the-same-parallels\" title=\"Figures on the same base and between the same parallels\">Figures on the same base and between the same parallels<\/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-15-class-9-maths-exercise-15-1-solutions\/#example-of-rd-sharma-chapter-15-class-9-maths-exercise-151-solutions\" title=\"Example of RD Sharma Chapter 15 Class 9 Maths Exercise 15.1 Solutions\">Example of RD Sharma Chapter 15 Class 9 Maths Exercise 15.1 Solutions<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-15-class-9-maths-exercise-15-1-solutions\/#frequently-asked-questions-faqs-of-rd-sharma-chapter-15-class-9-maths-exercise-151-solutions\" title=\"Frequently Asked Questions (FAQs) of RD Sharma Chapter 15 Class 9 Maths Exercise 15.1 Solutions\">Frequently Asked Questions (FAQs) of RD Sharma Chapter 15 Class 9 Maths Exercise 15.1 Solutions<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-15-class-9-maths-exercise-151-solutions-pdf\"><\/span>Download RD Sharma Chapter 15 Class 9 Maths Exercise 15.1 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\/02\/Solutions-for-Class-9-Maths-Chapter-15-Area-of-Parallelogram-and-Triangles-Exercise-15.1.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/Solutions-for-Class-9-Maths-Chapter-15-Area-of-Parallelogram-and-Triangles-Exercise-15.1.pdf\">Solutions for Class 9 Maths Chapter 15 Area of Parallelogram and Triangles Exercise 15.1<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definitions-rd-sharma-chapter-15-class-9-maths-exercise-151-solutions\"><\/span>Important Definitions RD Sharma Chapter 15 Class 9 Maths Exercise 15.1 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3><span class=\"ez-toc-section\" id=\"figures-on-the-same-base-and-between-the-same-parallels\"><\/span><strong>Figures on the same base and between the same parallels<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Two geometric diagrams are said to be on the same base and among the same parallels if they have a subordinate side as base and vertices opposite to the common base that lies on the line parallel to the base.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"example-of-rd-sharma-chapter-15-class-9-maths-exercise-151-solutions\"><\/span><strong>Example of RD Sharma Chapter 15 Class 9 Maths Exercise 15.1 Solutions<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Ques- Which of the following figures lie on the same base and between the same parallel. In such a case, write the common base and two parallels-<\/p>\n<p><img class=\"alignnone wp-image-73912 size-full\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/02\/15.1-1.png\" alt=\"RD Sharma Chapter 15 Class 9 Maths Exercise 15.1 Solutions\" width=\"746\" height=\"494\" \/><\/p>\n<p>Solution- (i) Triangle APB and trapezium \u2018ABCD\u2019 are on the subordinate base \u2018AB\u2019 and between the same parallels AB and DC.<\/p>\n<p>So,<\/p>\n<p>Common base \u2018AB\u2019<\/p>\n<p>Parallel lines are \u2018AB and DC\u2019<\/p>\n<p>(ii) Parallelograms \u2018ABCD\u2019 and \u2018APQD\u2019 are on the corresponding base \u2018AD\u2019 and between the corresponding parallels\u2019 AD and BQ\u2019.<\/p>\n<p>Common base \u2018AD\u2019<\/p>\n<p>Parallel lines are \u2018AD and BQ\u2019<\/p>\n<p>(iii) Consider, parallelogram \u2018ABCD\u2019 and \u2018\u0394PQR\u2019, lies within the same parallels\u2019 AD\u2019 and \u2018BC\u2019. But not sharing a common base.<\/p>\n<p>(iv) \u2018\u0394QRT\u2019 and parallelogram \u2018PQRS\u2019 are on the same base, \u2018QR\u2019 and lies between the same parallels\u2019 QR and PS\u2019.<\/p>\n<p>Common base \u2018QR\u2019<\/p>\n<p>Parallel lines are \u2018QR and PS\u2019<\/p>\n<p>(v) Parallelograms\u2019 PQRS\u2019 and trapezium \u2018SMNR\u2019 share a common base \u2018SR\u2019, but not between the same parallels.<\/p>\n<p>(vi) Parallelograms are PQRS, AQRD, BCQR are among the same parallels. Also,<\/p>\n<p>Parallelograms are PQRS, BPSC, APSD are within the same parallels.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"frequently-asked-questions-faqs-of-rd-sharma-chapter-15-class-9-maths-exercise-151-solutions\"><\/span>Frequently Asked Questions (FAQs) of RD Sharma Chapter 15 Class 9 Maths Exercise 15.1 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Ques 1- Which parallelograms have the same area?<\/p>\n<p>Ans- Because the parallelogram and rectangle are formed of the same parts, they necessarily have the equivalent area.<\/p>\n<p>Ques 2- Does a parallelogram have four right angles?<\/p>\n<p>Ans- Yes, Rectangle is an example of a parallelogram with four right angles.<\/p>\n<p>Ques 3- Are all sides of a parallelogram equal?<\/p>\n<p>Ans- A parallelogram has opposite sides parallel and equivalent in length. Also, opposite angles are the same (angles \u201cA\u201d are the same, and the angles \u201cB\u201d are the same).<\/p>\n<p>Ques 4- How do you find the angles in a parallelogram?<\/p>\n<p>Ans- There are six major properties of parallelograms-<\/p>\n<ol>\n<li>The opposite sides are congruent (PQ = RS).<\/li>\n<li>Opposite angles are congruent (S = Q).<\/li>\n<li>Consecutive\/ Adjacent angles are supplementary (P + S = 180\u00b0).<\/li>\n<li>If one angle is right, then all angles are also right.<\/li>\n<li>The diagonals of a parallelogram bisect (divide) each other.<\/li>\n<li>Each diagonal of a parallelogram divides it into two adjacent\/ congruent triangles.<\/li>\n<\/ol>\n<p><a href=\"https:\/\/www.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 15 Class 9 Maths Exercise 15.1 Solutions is about Figures on the same base and between the same parallels, which is concerned under the Area of Parallelograms and Triangles. This theory helps students distinguish figures that lie on the same base and between the same parallel that will help solve complicated problems &#8230; <a title=\"RD Sharma Chapter 15 Class 9 Maths Exercise 15.1 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-15-class-9-maths-exercise-15-1-solutions\/\" aria-label=\"More on RD Sharma Chapter 15 Class 9 Maths Exercise 15.1 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":73910,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2985,2917,73719,73411,73410],"tags":[3081,3086,3085],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73909"}],"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=73909"}],"version-history":[{"count":2,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73909\/revisions"}],"predecessor-version":[{"id":73953,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/73909\/revisions\/73953"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/73910"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=73909"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=73909"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=73909"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}