{"id":736,"date":"2022-08-23T04:22:52","date_gmt":"2022-08-23T04:22:52","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=736"},"modified":"2024-02-21T06:53:27","modified_gmt":"2024-02-21T06:53:27","slug":"ncert-solutions-class-6-maths-chapter-14-practical-geometry-ex-14-4","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-14-practical-geometry-ex-14-4\/","title":{"rendered":"NCERT Solutions Class 6 Maths Chapter 14 Practical Geometry Ex 14.4"},"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; 14 (Practical Geometry)<\/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; 14 Practical Geometry <\/strong>Exercise 14.4 has been provided here to help the students in solving the questions from this exercise.<\/span><\/p>\n<h4 id=\"chapter-14\"><span style=\"font-family: georgia, palatino, serif;\"><strong><span id=\"Chapter_14_Practical_Geometry\" style=\"color: #000000;\">Chapter 14: Practical Geometry<\/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-14-practical-geometry-ex-14-1\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 14.1<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-14-practical-geometry-ex-14-2\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 14.2<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-14-practical-geometry-ex-14-3\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 14.3<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-14-practical-geometry-ex-14-5\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 14.5<\/a><\/span><\/li>\n<li><span style=\"font-family: georgia, palatino, serif;\"><a href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-14-practical-geometry-ex-14-6\" target=\"_blank\" rel=\"noopener\">NCERT Solution Class 6 Maths Exercise &#8211; 14.6<\/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; 14.4<\/span><\/strong><\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>1. Draw any line segment <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\overline{AB}}\" alt=\"\\mathbf{\\overline{AB}}\" align=\"absmiddle\" \/>. Mark any point M on it. Through M, draw a perpendicular to <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\overline{AB}}\" alt=\"\\mathbf{\\overline{AB}}\" align=\"absmiddle\" \/>. (use ruler and compasses)<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions :<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-776\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-13.4Q1.png\" alt=\"NCERT Class 6 Math Solution\" width=\"181\" height=\"124\" \/><br \/>\n<\/strong><strong>Step 1:<\/strong> Draw a line segment <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\overline{AB}\" alt=\"\\overline{AB}\" align=\"absmiddle\" \/>\u00a0and mark any point M on it.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 2:<\/strong> Put the pointer of the compass at M and draw an arc of suitable radius such that it intersects <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\overline{AB}\" alt=\"\\overline{AB}\" align=\"absmiddle\" \/>\u00a0at P and Q.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 3:<\/strong> Take P and Q as centres and radius greater than PM, draw two arcs such that they intersect each other at C.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 4:<\/strong> Join M and C.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Thus CM is the perpendicular to <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\overline{AB}\" alt=\"\\overline{AB}\" align=\"absmiddle\" \/>.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>2. Draw any line segment <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\overline{PQ}}\" alt=\"\\mathbf{\\overline{PQ}}\" align=\"absmiddle\" \/>. Take any point R not on it. Through R, draw a perpendicular to <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\overline{PQ}}\" alt=\"\\mathbf{\\overline{PQ}}\" align=\"absmiddle\" \/>. (Use ruler and set square).<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-777\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-13.4Q2.png\" alt=\"NCERT Class 6 Math Solution\" width=\"124\" height=\"65\" \/><br \/>\n<\/strong><strong>Step 1:<\/strong> Draw a line segment <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\overline{PQ}\" alt=\"\\overline{PQ}\" align=\"absmiddle\" \/> and a point R outside of <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\overline{PQ}\" alt=\"\\overline{PQ}\" align=\"absmiddle\" \/>.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 2: <\/strong>Place a set square on <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\overline{PQ}\" alt=\"\\overline{PQ}\" align=\"absmiddle\" \/>\u00a0such that one side of its right angle be along it.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 3:<\/strong> Place a ruler along the longer side of the set square.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-778\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-13.4Q2A.png\" alt=\"NCERT Class 6 Math Solution\" width=\"243\" height=\"196\" \/><\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 4:<\/strong> Hold the ruler fix and slide the set square along the ruler till it touches the point R.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 5:<\/strong> Join RM along the edge through R. <\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Thus <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\overline{RM}\" alt=\"\\overline{RM}\" align=\"absmiddle\" \/> \u22a5\u00a0<img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\overline{PQ}\" alt=\"\\overline{PQ}\" align=\"absmiddle\" \/>.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>3. Draw a line l and a point X on it. Through X, draw a line segment <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\overline{XY}}\" alt=\"\\mathbf{\\overline{XY}}\" align=\"absmiddle\" \/> perpendicular to l. Now draw a perpendicular to <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\mathbf{\\overline{XY}}\" alt=\"\\mathbf{\\overline{XY}}\" align=\"absmiddle\" \/>\u00a0at y. (Use ruler and compasses)<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Solutions:<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-779\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/07\/NCERT-Class-6-Math-Ex-13.4Q3.png\" alt=\"NCERT Class 6 Math Solution\" width=\"131\" height=\"162\" \/><br \/>\n<\/strong><strong>Step 1:<\/strong> Draw a line l and take a point X on it.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 2:<\/strong> Draw an arc with centre X and of suitable radius to intersect the line l at two points P and Q.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 3:<\/strong> With P and Q as centres and a radius greater than P draw two arcs to intersect each other at M.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 4:<\/strong> Join XM and produce to Y.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 5:<\/strong> With Y as centre and a suitable radius, draw an arc to intersect XY at two points R and S.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 6:<\/strong> With R and S as centres and a radius greater than YR, draw two arcs to intersect each other at A.<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Step 7:<\/strong> Join Y and A.<br \/>\nThus <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\overline{YA}\" alt=\"\\overline{YA}\" align=\"absmiddle\" \/> \u22a5 <img decoding=\"async\" src=\"https:\/\/latex.codecogs.com\/gif.latex?\\overline{XY}\" alt=\"\\overline{XY}\" align=\"absmiddle\" \/>.<\/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; 14 (Practical Geometry) The NCERT Solutions in English Language for Class 6 Mathematics Chapter &#8211; 14 Practical Geometry Exercise 14.4 has been provided here to help the students in solving the questions from this exercise. Chapter 14: Practical Geometry NCERT Solution Class 6 Maths Exercise &#8211; 14.1 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":[3],"tags":[31,32,4,5],"class_list":["post-736","post","type-post","status-publish","format-standard","hentry","category-class-6-maths","tag-chapter-14-practical-geometry-in-english","tag-ncert-solutions-class-6-maths-chapter-14-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 14 Practical Geometry Ex 14.4 | TheExamPillar NCERT<\/title>\n<meta name=\"description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 14 Practical Geometry Exercise 14.4 has been provided here to help the students in solving the questions from this exercise.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-6-maths-chapter-14-practical-geometry-ex-14-4\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions Class 6 Maths Chapter 14 Practical Geometry Ex 14.4\" \/>\n<meta property=\"og:description\" content=\"The NCERT Solutions in English Language for Class 6 Mathematics Chapter - 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