{"id":30850,"date":"2021-12-30T18:15:58","date_gmt":"2021-12-30T12:45:58","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=30850"},"modified":"2025-08-04T16:19:26","modified_gmt":"2025-08-04T10:49:26","slug":"ncert-solutions-for-class-7-maths-chapter-14-symmetry","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-7\/maths\/chapter-14-symmetry\/","title":{"rendered":"NCERT Solutions for Class 7 Maths Chapter 14 Symmetry"},"content":{"rendered":"<p><span data-contrast=\"auto\">The ideas of symmetry are covered in Chapter 14 of the NCERT syllabus for Class 7 Maths. You&#8217;ll learn how to memorize reflection symmetry, rotational symmetry, and rotational symmetry observations in 2-D objects. The concept of symmetry will be useful in all of our daily actions.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">They provide NCERT Solutions that are simple to understand and quite beneficial to pupils. If a student wishes to contact an INFINITY learn expert, they can do so by submitting a question on the official website. If you have access to NCERT Solutions for Class 7 Science, Maths solutions, and solutions for other topics, subjects like Science, Maths, and English will become easier to study. Students seeking academic assistance can rely on us for the best advice.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p aria-level=\"2\"><b><span data-contrast=\"auto\">NCERT Solutions for Class 7 Maths Chapter 14<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559738&quot;:360,&quot;335559739&quot;:80,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">What is the definition of symmetry?<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">In mathematics, symmetry is a crucial geometrical concept. The concept of symmetry is applied in practically every aspect of our daily lives. Any object that is divided into two identical halves becomes a mirror copy of itself. The two halves are said to be symmetrical to each other.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">Facts:<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<ul>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"1\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">Regular polygons have the same number of sides as they do angles. They feature numerous symmetry lines or more than one.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"1\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"auto\">A square has four symmetry lines.<\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"1\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">A regular pentagon has five symmetry lines.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"1\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"auto\">A regular hexagon has six symmetry lines.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"1\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\"><span data-contrast=\"auto\">An object rotates around a fixed point known as the center of rotation.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"1\" aria-setsize=\"-1\" data-aria-posinset=\"4\" data-aria-level=\"1\"><span data-contrast=\"auto\">The angle of rotation is the angle at which an object rotates.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"1\" aria-setsize=\"-1\" data-aria-posinset=\"5\" data-aria-level=\"1\"><span data-contrast=\"auto\">A half-turn is equal to <\/span>[Equation]<span data-contrast=\"auto\">rotations.<\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"1\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">If an object looks exactly the same after being rotated, it is said to have rotational symmetry.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<\/ul>\n<p><b><span data-contrast=\"auto\">Line of Symmetry:<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The meaning of the line of symmetry for a figure is explained in this section of Chapter 14 for Class 7. A form or figure is said to have symmetry when a line divides it into two identical parts. The line of symmetry is the line that divides the form. If there is a line around which the figure may be folded into two coinciding sections, the figure has a line of symmetry. The axis of symmetry is another name for the line of symmetry.<\/span><\/p>\n<p><span data-contrast=\"auto\">In nature, symmetry can be found in beehives, tree leaves, and flowers, among other things. Artists, manufacturers, designers, architects, and others use symmetrical designs.<\/span><\/p>\n<p><b><span data-contrast=\"auto\">Line of Symmetry for Regular Polygons:<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">A polygon is a closed figure made up entirely of line segments, as we all know. A triangle is a polygon with the smallest number of line segments. If all of the sides of a polygon are the same length and all of the angles are the same measure, it is said to be regular. A regular polygon is an equilateral triangle. A regular polygon is a square.<\/span><\/p>\n<p><span data-contrast=\"auto\">Because each of its sides is the same length and each of its angles is <\/span>[Equation]<span data-contrast=\"auto\"> an equilateral triangle is a regular polygon. As seen in the diagram below, an equilateral triangle has three lines of symmetry.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Because all of its sides are equal and each of its angles is a right angle, a square is also a regular polygon.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">A square has four symmetry lines.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">A regular polygon&#8217;s sides are all the same length, and each of its angles is<\/span>[Equation]<span data-contrast=\"auto\">degrees. A pentagon has five symmetry lines.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">All of the sides of a regular hexagon are equal, and each of the measures of the angles <\/span>[Equation]<span data-contrast=\"auto\"> degrees. Six lines of symmetry run through each of the vertices of a regular hexagon.<\/span><\/p>\n<p><b><span data-contrast=\"auto\">Note:<\/span><\/b><span data-contrast=\"auto\"> When one half of a shape is the mirror image of the other, it is said to have a line of symmetry. As a result, line symmetry is intimately associated with mirror reflection.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">Rotation Symmetry:<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">When an object rotates, its shape and dimensions remain unchanged. The rotation is centered on a fixed point. The center of rotation is the fixed place where the rotation happens. The angle of rotation refers to the angle at which the body rotates.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<ul>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"2\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"><span data-contrast=\"auto\">A full turn is defined as a rotation of <\/span>[Equation]<span data-contrast=\"auto\">degrees.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"2\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\"><span data-contrast=\"auto\">A half-turn is equal to <\/span>[Equation]<span data-contrast=\"auto\">rotations.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<li data-leveltext=\"\u25cf\" data-font=\"\" data-listid=\"2\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\"><span data-contrast=\"auto\">A quarter-turn is a <\/span>[Equation]<span data-contrast=\"auto\">rotation.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559685&quot;:720,&quot;335559740&quot;:276,&quot;335559991&quot;:360}\"> <\/span><\/li>\n<\/ul>\n<p><span data-contrast=\"auto\">Rotational symmetry exists when a figure may be rotated less than <\/span>[Equation]<span data-contrast=\"auto\">times around a point and still coincide with itself.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">Line of Symmetry and Rotational Symmetry:<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">There are several shapes that exhibit both rotational and line symmetry.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Example: <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">(i) A square has line symmetry as well as rotational symmetry.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">(ii) An equilateral triangle has both rotational and line symmetry.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">(iii) A regular polygon has rotational as well as line symmetry.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">FAQ:<\/span><\/b><\/p>\n<p><b><span data-contrast=\"auto\">What are the frequently asked questions in NCERT Solutions for Class 7 Maths Chapter 14 Symmetry?<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">The following are some of the most frequently asked questions about Chapter 14 Symmetry in NCERT Solutions for Class 7 Maths:<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<ol>\n<li><span data-contrast=\"auto\"> Lines of symmetry for regular polygons<\/span><\/li>\n<li><span data-contrast=\"auto\"> Symmetry in rotation<\/span><\/li>\n<li><span data-contrast=\"auto\"> Rotational symmetry and line symmetry<\/span><\/li>\n<\/ol>\n<p><b><span data-contrast=\"auto\">Why should we use INFINITY learns to get NCERT Solutions for Class 7 Maths Chapter 14?<\/span><\/b><\/p>\n<p><span data-contrast=\"auto\">For the questions in NCERT Solutions for Class 7 Maths Chapter 14, INFINITY learns delivers the most exact answers. These solutions are available in PDF format and can be viewed online. The professionals explain the solutions to this chapter extremely clearly, with crisp graphics when necessary.<\/span><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><b><span data-contrast=\"auto\">Is it vital to study NCERT Solutions for Class 7 Maths Chapter 14 for the exam?<\/span><\/b><span data-ccp-props=\"{&quot;201341983&quot;:0,&quot;335551550&quot;:6,&quot;335551620&quot;:6,&quot;335559740&quot;:276}\"> <\/span><\/p>\n<p><span data-contrast=\"auto\">Yes, all of the chapters in the NCERT Solutions for Class 7 Maths are crucial for both board exams and higher grades. To get good grades, students should practice all of the questions in NCERT Solutions for Class 7 Maths Chapter 14. It will assist students in grasping concepts and analyzing the types of questions that will be asked on the exam.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The ideas of symmetry are covered in Chapter 14 of the NCERT syllabus for Class 7 Maths. You&#8217;ll learn how [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"NCERT Solutions for Class 7 Maths Chapter 14 Symmetry","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"NCERT Solutions for Class 7 Maths Chapter 14 Symmetry","custom_permalink":"study-materials\/ncert-solutions\/class-7\/maths\/chapter-14-symmetry\/"},"categories":[19,87],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 7 Maths Chapter 14 Symmetry - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 7 Maths Chapter 14 Symmetry\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/study-materials\/ncert-solutions\/class-7\/maths\/chapter-14-symmetry\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 7 Maths Chapter 14 Symmetry - 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