{"id":181,"date":"2022-08-09T15:40:25","date_gmt":"2022-08-09T15:40:25","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=181"},"modified":"2024-02-21T06:06:02","modified_gmt":"2024-02-21T06:06:02","slug":"ncert-solutions-class-6-maths-chapter-5-understanding-elementary-shapes-ex-5-5","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-5-understanding-elementary-shapes-ex-5-5\/","title":{"rendered":"NCERT Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.5"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">NCERT Solutions Class 6 Maths<\/span><\/strong><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Chapter &#8211; 5 (Understanding Elementary Shapes)<\/span><\/strong><\/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 6 Mathematics <strong>Chapter &#8211; 5 Understanding Elementary Shapes <\/strong>Exercise 5.5 has been provided here to help the students in solving the questions from this exercise.<\/span><\/p>\n<h4 id=\"chapter-5\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span id=\"Chapter_5_Understanding_Elementary_Shapes\" style=\"color: #000000;\">Chapter 5: Understanding Elementary Shapes<\/span><\/strong><\/span><\/h4>\n<ul>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-5-understanding-elementary-shapes-ex-5-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 5.1<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-5-understanding-elementary-shapes-ex-5-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 5.2<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-5-understanding-elementary-shapes-ex-5-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 5.3<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-5-understanding-elementary-shapes-ex-5-4\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 5.4<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-5-understanding-elementary-shapes-ex-5-6\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 5.6<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-5-understanding-elementary-shapes-ex-5-7\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 5.7<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-5-understanding-elementary-shapes-ex-5-8\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 5.8<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-5-understanding-elementary-shapes-ex-5-9\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 5.9<\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span style=\"color: #000000;\">Exercise &#8211; 5.5<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>1. Which of the following are models for perpendicular lines:<br \/>\n<\/strong>(a) The adjacent edges of a table top.<br \/>\n(b) The lines of a railway track.<br \/>\n(c) The line segments forming the letter \u2018L\u2019.<br \/>\n(d) The letter V.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(a)\u00a0The adjacent edges of a table top are perpendicular to each other.<br \/>\n(b) The lines of a railway track are parallel to each other.<br \/>\n(c) The line segments forming the letter \u2018L\u2019 are perpendicular to each other<br \/>\n(d) The sides of letter V are inclined forming an acute angle.<br \/>\nTherefore (a) and (c) are models for perpendicular lines.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>2. Let <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/svg.image?\\mathbf{\\overline{PQ}}\" \/> be the perpendicular to the line segment <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/svg.image?\\mathbf{\\overline{XY}}\" \/>. Let <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/svg.image?\\mathbf{\\overline{PQ}}\" \/> and <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/svg.image?\\mathbf{\\overline{XY}}\" \/>\u00a0intersect in the point A. What is the measure of \u2220PAY?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-249 size-full aligncenter\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-5.5Q2.png\" alt=\"NCERT Class 6 Math Solution\" width=\"144\" height=\"136\" \/>From the figure it is clear that the measure of \u2220PAY is 90<sup>0<\/sup><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>3. There are two set squares in your box. What are the measures of the angles that are formed at their corners? Do they have any angle measure that is common?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif;\"><span style=\"color: #000000;\"><strong>Solutions:<\/strong><br \/>\nThe figures of the two set-squares are given below:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-251 aligncenter\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-5.5Q3.png\" alt=\"NCERT Class 6 Math Solution\" width=\"314\" height=\"123\" srcset=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-5.5Q3.png 314w, https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-5.5Q3-300x118.png 300w\" sizes=\"auto, (max-width: 314px) 100vw, 314px\" \/><br \/>\nThe measure angles of triangle (a) are : 30\u00b0, 60\u00b0 and 90\u00b0.<br \/>\n<\/span><span style=\"color: #000000;\">The measure angles of triangle (b) are 45\u00b0, 45\u00b0 and 90\u00b0.<\/span><\/span><br \/>\n<span style=\"font-family: georgia, palatino, serif; color: #000000;\">Yes, they have a common angle of measure 90\u00b0.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>4. Study the diagram. The line l is perpendicular to line m<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-250 size-full\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-5.5Q4.png\" alt=\"NCERT Class 6 Math Solution\" width=\"258\" height=\"140\" \/><\/strong>(a) Is CE = EG?<br \/>\n(b) Does PE bisect CG?<br \/>\n(c) Identify any two line segments for which PE is the perpendicular bisector.<br \/>\n(d) Are these true?<br \/>\n(i) AC &gt; FG<br \/>\n(ii) CD = GH<br \/>\n(iii) BC &lt; EH.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>Solutions:<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(a)\u00a0Yes, since, CE = 2 units and EG = 2 units respectively.<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(b) Yes. Since, CE = EG as both are of 2 units. Hence PE bisect CG.<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(c) <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/svg.image?\\overline{BH}\" \/> and <img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/svg.image?\\overline{DF}\" \/> are the line segments for which PE is the perpendicular bisector.<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\">(d)<br \/>\n<strong>(i) True.<\/strong><br \/>\nSince AC = 2 units and FG = 1 unit<br \/>\n\u2234 AC &gt; FG<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(ii) True<\/strong> because both are of 1 unit<br \/>\n<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino, serif; color: #000000;\"><strong>(iii) True. <\/strong><br \/>\nSince, BC = 1 unit and EH = 3 units<br \/>\n\u2234 BC &lt; EH<\/span><\/p>\n<p>&nbsp;<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 100%; background-color: #f2e079; text-align: center;\"><span style=\"color: #000000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong>NCERT Class 6<sup>th\u00a0<\/sup>Solution\u00a0<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-english\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 English\u201d (Edit)\">NCERT Solutions Class 6 English<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-hindi\/\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Hindi<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Maths\u201d (Edit)\">NCERT Solutions Class 6 Maths<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-sanskrit\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000; font-size: 14pt;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\">NCERT Solutions Class 6 Sanskrit<\/span><\/strong><\/span><\/a><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%; text-align: left;\"><span style=\"color: #ff0000; font-size: 14pt; font-family: georgia, palatino, serif;\"><strong><span style=\"color: #0000ff; font-size: 12pt;\"><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-social-science\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cNCERT Solutions Class 6 Social Science\u201d (Edit)\">NCERT Solutions Class 6 Social Science<\/a><\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 6 Maths Chapter &#8211; 5 (Understanding Elementary Shapes) The NCERT Solutions in English Language for Class 6 Mathematics Chapter &#8211; 5 Understanding Elementary Shapes Exercise 5.5 has been provided here to help the students in solving the questions from this exercise. Chapter 5: Understanding Elementary Shapes NCERT Solution Class 6 Maths Exercise [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[12,13,4,5],"class_list":["post-181","post","type-post","status-publish","format-standard","hentry","category-class-6-maths","tag-chapter-5-understanding-elementary-shapes-in-english","tag-ncert-solutions-class-6-maths-chapter-5-in-english","tag-ncert-solutions-class-6-maths-in-english","tag-ncert-solutions-in-english"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.9 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>NCERT Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.5 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 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