{"id":4335,"date":"2016-05-13T11:49:00","date_gmt":"2016-05-13T06:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-7-maths-symmetry-ex-14-3\/"},"modified":"2018-07-09T14:17:42","modified_gmt":"2018-07-09T08:47:42","slug":"ncert-solutions-for-class-7-maths-exercise-14-3","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-14-3\/","title":{"rendered":"NCERT Solutions for Class 7 Maths Exercise 14.3"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 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\" style=\"cursor:inherit\">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=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" 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: #999;color:#999\" 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><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-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:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-14-3\/#NCERT_Solutions_for_Class_7_Maths_Symmetry\" >NCERT Solutions for Class 7 Maths\u00a0Symmetry<\/a><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-14-3\/#Class_%E2%80%93VII_MathematicsEx_143\" >Class \u2013VII Mathematics(Ex. 14.3)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-14-3\/#Question_1_Name_any_two_figures_that_have_both_line_symmetry_and_rotational_symmetry\" >Question 1. Name any two figures that have both line symmetry and rotational symmetry.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-14-3\/#Question_2_Draw_wherever_possible_a_rough_sketch_of\" >Question 2. Draw, wherever possible, a rough sketch of:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-14-3\/#Question_3_In_a_figure_has_two_or_more_lines_of_symmetry_should_it_have_rotational_symmetry_of_order_more_than_1\" >Question 3. In a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-14-3\/#Question_4_Fill_in_the_blanks\" >Question 4. Fill in the blanks:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-14-3\/#Question_5_Name_the_quadrilateral_which_has_both_line_and_rotational_symmetry_of_order_more_than_1\" >Question 5. Name the quadrilateral which has both line and rotational symmetry of order more than 1.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-14-3\/#Question_6_After_rotating_by_tex60_circ_tex_about_a_centre_a_figure_looks_exactly_the_same_as_its_original_position_At_what_other_angles_will_this_happen_for_the_figure\" >Question 6. After rotating by {tex}{60^ \\circ }{\/tex} about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-14-3\/#Question_7_Can_we_have_a_rotational_symmetry_of_order_more_than_1_whose_angle_of_rotation_is\" >Question 7. Can we have a rotational symmetry of order more than 1 whose angle of rotation is:<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-14-3\/#NCERT_Solutions_for_Class_7_Maths_Exercise_143\" >NCERT Solutions for Class 7 Maths Exercise 14.3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-7-maths-exercise-14-3\/#CBSE_app_for_Students\" >CBSE app for Students<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 7 Maths Exercise 14.3 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 7 Maths chapter wise NCERT solution for Maths Book all the chapters can be downloaded from our website and myCBSEguide mobile app for free.<\/p>\n<p style=\"text-align: center;\"><strong>NCERT solutions for Maths\u00a0Symmetry\u00a0<\/strong><strong><a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-07-mathematics-symmetry\/1523\/ncert-solutions\/5\/\">Download as PDF<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/07_Maths_Book.jpg\" alt=\"NCERT Solutions for Class 7 Maths Exercise 14.3\" width=\"149\" height=\"189\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_7_Maths_Symmetry\"><\/span>NCERT Solutions for Class 7 Maths\u00a0Symmetry<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h6 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Class_%E2%80%93VII_MathematicsEx_143\"><\/span><strong>Class \u2013VII Mathematics(Ex. 14.3)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<h6><span class=\"ez-toc-section\" id=\"Question_1_Name_any_two_figures_that_have_both_line_symmetry_and_rotational_symmetry\"><\/span><strong>Question<\/strong> 1. Name any two figures that have both line symmetry and rotational symmetry.<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Answer: <\/strong>Circle and Square.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 14.3<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_2_Draw_wherever_possible_a_rough_sketch_of\"><\/span><strong>Question<\/strong> 2. Draw, wherever possible, a rough sketch of:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<ol>\n<li>a triangle with both line and rotational symmetries of order more than 1.<\/li>\n<li>a triangle with only line symmetry and no rotational symmetry of order more than 1.<\/li>\n<li>a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry.<\/li>\n<li>a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.<\/li>\n<\/ol>\n<ol>\n<li><strong>Answer: <\/strong>(i) An equilateral triangle has both line and rotational symmetries of order more than 1.<\/li>\n<\/ol>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch14_116.jpg\" \/><\/p>\n<p>Line symmetry:<\/p>\n<p>Rotational symmetry:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch14_117.jpg\" \/><\/p>\n<p>(ii)An isosceles triangle has only one line of symmetry and no rotational symmetry of order more than 1.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch14_118.jpg\" \/><\/p>\n<p>Line symmetry:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch14_119.jpg\" \/><\/p>\n<p>Rotational symmetry:<\/p>\n<p>(iii)It is not possible because order of rotational symmetry is more than 1 of a figure, most acertain the line of symmetry.<\/p>\n<p>(iv)A trapezium which has equal non-parallel sides, a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch14_120.jpg\" \/><\/p>\n<p>Line symmetry:<\/p>\n<p>Rotational symmetry:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch14_121.jpg\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 14.3<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_3_In_a_figure_has_two_or_more_lines_of_symmetry_should_it_have_rotational_symmetry_of_order_more_than_1\"><\/span><strong>Question<\/strong> 3. In a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Answer: <\/strong>Yes, because every line through the centre forms a line of symmetry and it has rotational symmetry around the centre for every angle.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 14.3<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_4_Fill_in_the_blanks\"><\/span><strong>Question<\/strong> 4. Fill in the blanks:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<table style=\"width: 100%;\" border=\"1\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr>\n<td>Shape<\/td>\n<td>Centre of Rotation<\/td>\n<td>Order of Rotation<\/td>\n<td>Angle of Rotation<\/td>\n<\/tr>\n<tr>\n<td>Square<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Rectangle<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Rhombus<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Equilateral triangle<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Regular hexagon<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Circle<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>Semi-circle<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Answer: <\/strong>Sol.<\/p>\n<table style=\"width: 100%;\" border=\"1\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr>\n<td>Shape<\/td>\n<td>Centre of Rotation<\/td>\n<td>Order of Rotation<\/td>\n<td>Angle of Rotation<\/td>\n<\/tr>\n<tr>\n<td>Square<\/td>\n<td>Intersecting point of diagonals.<\/td>\n<td>4<\/td>\n<td>{tex}{90^ \\circ }{\/tex}<\/td>\n<\/tr>\n<tr>\n<td>Rectangle<\/td>\n<td>Intersecting point of diagonals.<\/td>\n<td>2<\/td>\n<td>{tex}{180^ \\circ }{\/tex}<\/td>\n<\/tr>\n<tr>\n<td>Rhombus<\/td>\n<td>Intersecting point of diagonals.<\/td>\n<td>2<\/td>\n<td>{tex}{180^ \\circ }{\/tex}<\/td>\n<\/tr>\n<tr>\n<td>Equilateral triangle<\/td>\n<td>Intersecting point of medians.<\/td>\n<td>3<\/td>\n<td>{tex}{120^ \\circ }{\/tex}<\/td>\n<\/tr>\n<tr>\n<td>Regular hexagon<\/td>\n<td>Intersecting point of diagonals.<\/td>\n<td>6<\/td>\n<td>{tex}{60^ \\circ }{\/tex}<\/td>\n<\/tr>\n<tr>\n<td>Circle<\/td>\n<td>Centre<\/td>\n<td>infinite<\/td>\n<td>At every point<\/td>\n<\/tr>\n<tr>\n<td>Semi-circle<\/td>\n<td>Mid-point of diameter<\/td>\n<td>1<\/td>\n<td>{tex}{360^ \\circ }{\/tex}<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 14.3<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_5_Name_the_quadrilateral_which_has_both_line_and_rotational_symmetry_of_order_more_than_1\"><\/span><strong>Question<\/strong> 5. Name the quadrilateral which has both line and rotational symmetry of order more than 1.<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Answer: <\/strong>Square has both line and rotational symmetry of order more than 1.<\/p>\n<p>Line symmetry:<img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch14_122.jpg\" \/><\/p>\n<p>Rotational symmetry:<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch14_123.jpg\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 14.3<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_6_After_rotating_by_tex60_circ_tex_about_a_centre_a_figure_looks_exactly_the_same_as_its_original_position_At_what_other_angles_will_this_happen_for_the_figure\"><\/span><strong>Question<\/strong> 6. After rotating by {tex}{60^ \\circ }{\/tex} about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Answer: <\/strong>Other angles will be {tex}120^\\circ ,180^\\circ ,240^\\circ ,300^\\circ ,360^\\circ {\/tex}.<\/p>\n<p>For rotation:It will rotate six times.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch14_124.jpg\" \/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch14_125.jpg\" \/><\/p>\n<p>For rotation:It will rotate three times.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch14_126.jpg\" \/><\/p>\n<p>For rotation:It will rotate two times.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch14_127.jpg\" \/><\/p>\n<p>For rotation:It will rotate one time.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/07\/mathematics\/07_math_ncert_ch14_128.jpg\" \/><\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 7 Maths Exercise 14.3<\/p>\n<h6><span class=\"ez-toc-section\" id=\"Question_7_Can_we_have_a_rotational_symmetry_of_order_more_than_1_whose_angle_of_rotation_is\"><\/span><strong>Question<\/strong> 7. Can we have a rotational symmetry of order more than 1 whose angle of rotation is:<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p>(i) {tex}{45^ \\circ }{\/tex}(ii) {tex}{17^ \\circ }{\/tex} ?<\/p>\n<p><strong>Answer: <\/strong>(i) If the angle of rotation is {tex}{45^ \\circ },{\/tex} then symmetry of order is possible and would be 8 rotations.<\/p>\n<p>(ii) If the angle of rotational is {tex}{17^ \\circ },{\/tex} then symmetry of order is not possible because {tex}{360^ \\circ }{\/tex} is not complete divided by {tex}{17^ \\circ }.{\/tex}<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_7_Maths_Exercise_143\"><\/span>NCERT Solutions for Class 7 Maths Exercise 14.3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions Class 7 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 7 Maths includes text book solutions from Class 7 Maths Book . NCERT Solutions for CBSE Class 7 Maths have total 15 chapters. 7 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 7 solutions PDF and Maths ncert class 7 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_app_for_Students\"><\/span>CBSE app for Students<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download NCERT Solutions for Class 7 Maths, Social Science Computer Science, Home Science, Hindi English, Maths Science do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 7 Maths Exercise 14.3 book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. 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