{"id":2189,"date":"2022-11-10T13:48:38","date_gmt":"2022-11-10T13:48:38","guid":{"rendered":"https:\/\/theexampillar.com\/ncert\/?p=2189"},"modified":"2022-11-10T13:48:38","modified_gmt":"2022-11-10T13:48:38","slug":"ncert-solutions-class-7-maths-chapter-14-symmetry-ex-14-3","status":"publish","type":"post","link":"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-14-symmetry-ex-14-3\/","title":{"rendered":"NCERT Solutions Class 7 Maths Chapter 14 Symmetry Ex 14.3"},"content":{"rendered":"<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">NCERT Solutions Class 7 Mathematics\u00a0<\/span><br \/>\n<span style=\"color: #000000; font-family: georgia, palatino, serif;\">Chapter &#8211; 14 (Symmetry)<\/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 7 Mathematics <strong>Chapter &#8211; 14 Symmetry <\/strong>Exercise 14.3 has been provided here to help the students in solving the questions from this exercise.\u00a0<\/span><\/p>\n<p><span style=\"color: #000000; font-family: georgia, palatino, serif;\"><strong>Chapter : 14 Symmetry<\/strong><\/span><\/p>\n<ul>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-14-symmetry-ex-14-1\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 14.1<\/span><\/a><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/theexampillar.com\/ncert\/ncert-solutions-class-7-maths-chapter-14-symmetry-ex-14-2\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: georgia, palatino, serif;\">NCERT Solution Class 7 Maths Exercise &#8211; 14.2<\/span><\/a><\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: center;\"><span style=\"color: #000000; font-family: georgia, palatino, serif;\">Exercise &#8211; 14.3\u00a0<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>1. Name any two figures that have both line symmetry and rotational symmetry.<br \/>\n<\/strong><strong>Solution &#8211; <\/strong>Equilateral triangle and Circle.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>2. Draw, wherever possible, a rough sketch of<br \/>\n<\/strong><strong>(i) a triangle with both line and rotational symmetries of order more than 1.<br \/>\n(ii) a triangle with only line symmetry and no rotational symmetry of order more than 1.<br \/>\n(iii) a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry.<br \/>\n(iv) a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.<br \/>\n<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n(i) a triangle with both line and rotational symmetries of order more than 1.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2229\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-14.3-Ans-2a.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"154\" height=\"149\" \/><br \/>\n<\/strong>A triangle with both line and rotational symmetries of order more than 1 is an equilateral triangle.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) a triangle with only line symmetry and no rotational symmetry of order more than 1.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2230\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-14.3-Ans-2b.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"171\" height=\"174\" \/><br \/>\n<\/strong>A triangle with only line symmetry and no rotational symmetry of order more than 1 is isosceles triangle.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iii) a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry.<br \/>\n<\/strong>A quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry is not possible to draw. Because, a quadrilateral with a line symmetry may have rotational symmetry of order one but not more than one.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(iv) a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2231\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-14.3-Ans-2D.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"262\" height=\"166\" \/><br \/>\n<\/strong>A quadrilateral with line symmetry but not a rotational symmetry of order more than 1 is rhombus.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>3. If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1? <\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2232\" src=\"https:\/\/theexampillar.com\/ncert\/wp-content\/uploads\/2022\/11\/NCERT-Solutions-Class-7-Maths-Ex-14.3-Ans-3.png\" alt=\"NCERT Class 7 Maths Solution\" width=\"164\" height=\"95\" \/><br \/>\n<\/strong>Yes. The above figure has two lines of symmetry and also rotational symmetry of order 2.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>4. Fill in the blanks:<\/strong><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\" style=\"width: 80%;\">\n<tbody>\n<tr>\n<td><span style=\"color: #000000;\"><strong>Shape<\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong>Centre of Rotation<\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong>Order of Rotation<\/strong><\/span><\/td>\n<td><span style=\"color: #000000;\"><strong>Angle of Rotation<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><strong>Square<\/strong><\/span><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><strong>Rectangle<\/strong><\/span><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><strong>Rhombus<\/strong><\/span><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><strong>Equilateral Triangle<\/strong><\/span><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><strong>Regular Hexagon<\/strong><\/span><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><strong>Circle<\/strong><\/span><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><span style=\"color: #000000;\"><strong>Semi-circle<\/strong><\/span><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution:-<\/strong><\/span><\/p>\n<div class=\"table-responsive\" style=\"text-align: justify;\">\n<table class=\"table table-bordered\" style=\"width: 90%;\">\n<tbody>\n<tr style=\"height: 48px;\">\n<td style=\"height: 48px;\"><span style=\"color: #000000;\"><strong>Shape<\/strong><\/span><\/td>\n<td style=\"height: 48px;\"><span style=\"color: #000000;\"><strong>Centre of Rotation<\/strong><\/span><\/td>\n<td style=\"height: 48px;\"><span style=\"color: #000000;\"><strong>Order of Rotation<\/strong><\/span><\/td>\n<td style=\"height: 48px;\"><span style=\"color: #000000;\"><strong>Angle of Rotation<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"height: 48px;\">\n<td style=\"text-align: left; height: 48px;\"><span style=\"color: #000000;\"><strong>Square<\/strong><\/span><\/td>\n<td style=\"text-align: left; height: 48px;\"><span style=\"color: #000000;\">Intersecting point of diagonals<\/span><\/td>\n<td style=\"text-align: left; height: 48px;\"><span style=\"color: #000000;\">4<\/span><\/td>\n<td style=\"text-align: left; height: 48px;\"><span style=\"color: #000000;\">90<sup>o<\/sup><\/span><\/td>\n<\/tr>\n<tr style=\"height: 48px;\">\n<td style=\"text-align: left; height: 48px;\"><span style=\"color: #000000;\"><strong>Rectangle<\/strong><\/span><\/td>\n<td style=\"text-align: left; height: 48px;\"><span style=\"color: #000000;\">Intersecting point of diagonals<\/span><\/td>\n<td style=\"text-align: left; height: 48px;\"><span style=\"color: #000000;\">2<\/span><\/td>\n<td style=\"text-align: left; height: 48px;\"><span style=\"color: #000000;\">180<sup>o<\/sup><\/span><\/td>\n<\/tr>\n<tr style=\"height: 48px;\">\n<td style=\"text-align: left; height: 48px;\"><span style=\"color: #000000;\"><strong>Rhombus<\/strong><\/span><\/td>\n<td style=\"text-align: left; height: 48px;\"><span style=\"color: #000000;\">Intersecting point of diagonals<\/span><\/td>\n<td style=\"text-align: left; height: 48px;\"><span style=\"color: #000000;\">2<\/span><\/td>\n<td style=\"text-align: left; height: 48px;\"><span style=\"color: #000000;\">180<sup>o<\/sup><\/span><\/td>\n<\/tr>\n<tr style=\"height: 48px;\">\n<td style=\"text-align: left; height: 48px;\"><span style=\"color: #000000;\"><strong>Equilateral Triangle<\/strong><\/span><\/td>\n<td style=\"text-align: left; height: 48px;\"><span style=\"color: #000000;\">Intersecting point of medians<\/span><\/td>\n<td style=\"text-align: left; height: 48px;\"><span style=\"color: #000000;\">3<\/span><\/td>\n<td style=\"text-align: left; height: 48px;\"><span style=\"color: #000000;\">120<sup>o<\/sup><\/span><\/td>\n<\/tr>\n<tr style=\"height: 48px;\">\n<td style=\"text-align: left; height: 48px;\"><span style=\"color: #000000;\"><strong>Regular Hexagon<\/strong><\/span><\/td>\n<td style=\"text-align: left; height: 48px;\"><span style=\"color: #000000;\">Intersecting point of diagonals<\/span><\/td>\n<td style=\"text-align: left; height: 48px;\"><span style=\"color: #000000;\">6<\/span><\/td>\n<td style=\"text-align: left; height: 48px;\"><span style=\"color: #000000;\">60<sup>o<\/sup><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"text-align: left; height: 24px;\"><span style=\"color: #000000;\"><strong>Circle<\/strong><\/span><\/td>\n<td style=\"text-align: left; height: 24px;\"><span style=\"color: #000000;\">Centre<\/span><\/td>\n<td style=\"text-align: left; height: 24px;\"><span style=\"color: #000000;\">Infinite<\/span><\/td>\n<td style=\"text-align: left; height: 24px;\"><span style=\"color: #000000;\">Every angle<\/span><\/td>\n<\/tr>\n<tr style=\"height: 27px;\">\n<td style=\"text-align: left; height: 27px;\"><span style=\"color: #000000;\"><strong>Semi-circle<\/strong><\/span><\/td>\n<td style=\"text-align: left; height: 27px;\"><span style=\"color: #000000;\">Mid-point of diameter<\/span><\/td>\n<td style=\"text-align: left; height: 27px;\"><span style=\"color: #000000;\">1<\/span><\/td>\n<td style=\"text-align: left; height: 27px;\"><span style=\"color: #000000;\">360<sup>o<\/sup><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>5. Name the quadrilaterals which have both line and rotational symmetry of order more than 1.<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211; <\/strong>Square, rectangles and rhombus are such quadrilateral which have both line and rotational symmetry.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>6. After rotating by 60\u00b0 about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;\u00a0 <\/strong>If a figure is rotated through the angles 120\u00b0, 180\u00b0, 240\u00b0, 300\u00b0 and 360\u00b0, it looks exactly the same.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>7. Can we have a rotational symmetry of order more than 1 whose angle of rotation is<br \/>\n<\/strong><strong>(i) 45\u00b0?<br \/>\n<\/strong><strong>(ii) 17\u00b0?<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>Solution &#8211;<br \/>\n<\/strong><strong>(i) 45\u00b0?<br \/>\n<\/strong>Yes. We can have a rotational symmetry of order more than 1 whose angle of rotation is 45<sup>o<\/sup>.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\"><strong>(ii) 17\u00b0?<br \/>\n<\/strong>No. We cannot have a rotational symmetry of order more than 1 whose angle of rotation is 17<sup>o<\/sup>.<\/span><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 7 Mathematics\u00a0 Chapter &#8211; 14 (Symmetry) The NCERT Solutions in English Language for Class 7 Mathematics Chapter &#8211; 14 Symmetry Exercise 14.3 has been provided here to help the students in solving the questions from this exercise.\u00a0 Chapter : 14 Symmetry NCERT Solution Class 7 Maths Exercise &#8211; 14.1 NCERT Solution Class [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[219],"tags":[347,348,283,5],"class_list":["post-2189","post","type-post","status-publish","format-standard","hentry","category-class-7-maths","tag-ncert-class-7-maths-chapter-14-symmetry-in-english","tag-ncert-solutions-class-7-maths-chapter-14-in-english","tag-ncert-solutions-class-7-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) - 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