{"id":4463,"date":"2023-02-14T05:46:36","date_gmt":"2023-02-14T05:46:36","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=4463"},"modified":"2023-02-14T05:49:05","modified_gmt":"2023-02-14T05:49:05","slug":"ncert-solutions-class-9-maths-chapter-9-areas-of-parallelograms-and-triangles-ex-9-1","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-9-areas-of-parallelograms-and-triangles-ex-9-1\/","title":{"rendered":"NCERT Solutions Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles Ex 9.1"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 9 Maths\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 9 (Areas of Parallelograms and Triangles)\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">The NCERT Solutions in English Language for Class 9 Mathematics\u00a0<strong>Chapter &#8211; 9 Areas of Parallelograms and Triangles <\/strong>Exercise 9.1 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>Chapter 9: Areas of Parallelograms and Triangles<\/strong><\/span><\/p>\n<ul>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-9-areas-of-parallelograms-and-triangles-ex-9-2\/\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 9 Maths Ex &#8211; 9.2<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-9-areas-of-parallelograms-and-triangles-ex-9-3\/\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 9 Maths Ex &#8211; 9.3<\/a><\/li>\n<li><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-9-maths-chapter-9-areas-of-parallelograms-and-triangles-ex-9-4\/\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 9 Maths Ex &#8211; 9.4<\/a><\/li>\n<\/ul>\n<div>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 9.1<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1. Which of the following figures lie on the same base and in between the same parallels? In such a case, write the common base and the two parallels.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-4472\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/01\/NCERT-Solutions-Class-9-Maths-Ex-9.1-Q1.png\" alt=\"NCERT Class 9 Solutions Maths\" width=\"639\" height=\"413\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/01\/NCERT-Solutions-Class-9-Maths-Ex-9.1-Q1.png 639w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/01\/NCERT-Solutions-Class-9-Maths-Ex-9.1-Q1-300x194.png 300w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2023\/01\/NCERT-Solutions-Class-9-Maths-Ex-9.1-Q1-480x310.png 480w\" sizes=\"auto, (max-width: 639px) 100vw, 639px\" \/><br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Answer &#8211;\u00a0<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(i)<\/strong> Yes, Figure (i) lies on the same base and between the same set of\u00a0parallel lines. <\/span><br \/>\n<span style=\"color: #000000;\">It can be observed that\u00a0trapezium\u00a0ABCD and\u00a0triangle\u00a0PCD have a common base CD and these are lying between the same set of parallel lines AB and CD.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii)<\/strong> No, Figure (ii) does not satisfy the condition of having a common base and lying between the same set of parallel lines.<br \/>\nIt can be observed that parallelogram PQRS and trapezium MNRS have a common base RS. However, their vertices, P, Q of parallelogram and M, N of trapezium do not lie on the same line. Hence, parallelogram PQRS and trapezium MNRS do not lie between the same set of parallel lines.<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) <\/strong>Yes, Figure (iii) lies on the same base and between the same set of parallel lines.<\/span><br \/>\n<span style=\"color: #000000;\">It can be observed that parallelogram PQRS and triangle QTR have a common base QR and they are lying between the same set of parallel lines PS and QR.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) <\/strong>No, Figure (iv) does not satisfy the condition of having a common base and lying between the same set of parallel lines. <\/span><br \/>\n<span style=\"color: #000000;\">It can be observed that parallelogram ABCD and triangle PQR are lying between the same set of parallel lines AD and BC. However, these do not have any common base.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(v) <\/strong>Yes, Figure (v) lies on the same base and between the same set of parallel lines. <\/span><br \/>\n<span style=\"color: #000000;\">It can be observed that parallelogram ABCD and\u00a0parallelogram\u00a0APQD have a common base AD and these are lying between the same set of parallel lines AD and BQ.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(vi) <\/strong>No, Figure (vi) does not satisfy the condition of having a common base and lying between the same set of parallel lines. <\/span><br \/>\n<span style=\"color: #000000;\">It can be observed that parallelogram PBCS and PQRS are lying on the same base PS. However, these do not lie between the same set of parallel lines.<\/span><\/p>\n<p style=\"text-align: justify;\">\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 9 Maths\u00a0 Chapter &#8211; 9 (Areas of Parallelograms and Triangles)\u00a0 The NCERT Solutions in English Language for Class 9 Mathematics\u00a0Chapter &#8211; 9 Areas of Parallelograms and Triangles Exercise 9.1 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter 9: Areas of Parallelograms and Triangles NCERT [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[698],"tags":[717,702,186,718,701,5],"class_list":["post-4463","post","type-post","status-publish","format-standard","hentry","category-class-9-maths","tag-class-9th-chapter-9-areas-of-parallelograms-and-triangles-in-english","tag-ncert-solution-class-9","tag-ncert-solutions","tag-ncert-solutions-class-9-maths-chapter-9-in-english","tag-ncert-solutions-class-9-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.4) - 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