{"id":151082,"date":"2021-02-22T08:58:10","date_gmt":"2021-02-22T08:58:10","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=151082"},"modified":"2023-09-15T07:16:59","modified_gmt":"2023-09-15T07:16:59","slug":"ncert-solutions-for-7th-class-maths-chapter-14-symmetry","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-7th-class-maths-chapter-14-symmetry\/","title":{"rendered":"NCERT Solutions for 7th Class Maths: Chapter 14-Symmetry"},"content":{"rendered":"\n

Class 7: Maths Chapter 14 solutions. Complete Class 7 Maths Chapter 14 Notes.<\/p>\n\n\n\n

NCERT Solutions for 7th Class Maths: Chapter 14-Symmetry<\/strong><\/h2>\n\n\n\n

NCERT 7th Maths Chapter 14, class 7 Maths Chapter 14 solutions<\/p>\n\n\n\n

Exercise 14.1<\/h4>\n\n\n\n

1. Copy the figures with punched holes and find the axes of symmetry for the following:<\/strong><\/p>\n\n\n\n

\"Question<\/figure>\n\n\n\n
\"Question<\/figure>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

\"Answer<\/figure>\n\n\n\n
\"Answer<\/figure>\n\n\n\n

2. Given the line(s) of symmetry, find the other hole(s):<\/strong><\/p>\n\n\n\n

\"Question<\/figure>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

\"Answer<\/figure>\n\n\n\n

3. In the following figures, the mirror line (i.e., the line of symmetry) is given as a dotted line. Complete each figure performing reflection in the dotted (mirror) line. (You might perhaps place a mirror along the dotted line and look into the mirror for the image). Are you able to recall the name of the figure you complete?<\/strong><\/p>\n\n\n\n

\"Question<\/figure>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

(a) Square<\/p>\n\n\n\n

(b) Triangle<\/p>\n\n\n\n

(c) Rhombus<\/p>\n\n\n\n

(d) Circle<\/p>\n\n\n\n

(e) Pentagon<\/p>\n\n\n\n

(f) Hexagon<\/p>\n\n\n\n

\"Answer<\/figure>\n\n\n\n

4. The following figures have more than one line of symmetry. Such figures are said to have multiple lines of symmetry.<\/strong><\/p>\n\n\n\n

\"Question<\/figure>\n\n\n\n

Identify multiple lines of symmetry, if any, in each of the following figures:<\/strong><\/p>\n\n\n\n

\"Question<\/figure>\n\n\n\n
\"Question<\/figure>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

\"Answer<\/figure>\n\n\n\n

5. Copy the figure given here.<\/strong><\/p>\n\n\n\n

Take any one diagonal as a line of symmetry and shade a few more squares to make the figure symmetric about a diagonal. Is there more than one way to do that? Will the figure be symmetric about both the diagonals?<\/strong><\/p>\n\n\n\n

\"Question<\/figure>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

\"Answer<\/figure>\n\n\n\n

Yes, there is more than one way and this figure will be symmetric about both the diagonals.<\/p>\n\n\n\n

6. Copy the diagram and complete each shape to be symmetric about the mirror line(s):<\/strong><\/p>\n\n\n\n

\"Question<\/figure>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

\"Answer<\/figure>\n\n\n\n

NCERT 7th Maths Chapter 14, class 7 Maths Chapter 14 solutions<\/p>\n\n\n\n

7. State the number of lines of symmetry for the following figures:<\/strong><\/p>\n\n\n\n

(a) An equilateral triangle<\/strong><\/p>\n\n\n\n

(b) An isosceles triangle<\/strong><\/p>\n\n\n\n

(c) A scalene triangle<\/strong><\/p>\n\n\n\n

(d) A square<\/strong><\/p>\n\n\n\n

(e) A rectangle<\/strong><\/p>\n\n\n\n

(f) A rhombus<\/strong><\/p>\n\n\n\n

(g) A parallelogram<\/strong><\/p>\n\n\n\n

(h) A quadrilateral<\/strong><\/p>\n\n\n\n

(i) A regular hexagon<\/strong><\/p>\n\n\n\n

(j) A circle<\/strong><\/p>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

(a) An equilateral triangle – Three Lines<\/p>\n\n\n\n

(b) An isosceles triangle – Only One Line<\/p>\n\n\n\n

(c) A scalene triangle – No Line<\/p>\n\n\n\n

(d) A square – Four Lines<\/p>\n\n\n\n

(e) A rectangle – Two Lines<\/p>\n\n\n\n

(f) A rhombus – Four Lines<\/p>\n\n\n\n

(g) A parallelogram – No Line<\/p>\n\n\n\n

(h) A quadrilateral – No Line<\/p>\n\n\n\n

(i) A regular hexagon – Six Lines<\/p>\n\n\n\n

(j) A circle – Infinite Lines<\/p>\n\n\n\n

NCERT 7th Maths Chapter 14, class 7 Maths Chapter 14 solutions<\/p>\n\n\n\n

8. What letters of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about.<\/strong><\/p>\n\n\n\n

(a) a vertical mirror<\/strong><\/p>\n\n\n\n

(b) a horizontal mirror<\/strong><\/p>\n\n\n\n

(c) both horizontal and vertical mirrors<\/strong><\/p>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

(a) Vertical mirror – A, H, I, M, 0, T, U, V, W, X and Y<\/p>\n\n\n\n

(b) Horizontal mirror – B, C, D, E, H, I, 0 and X<\/p>\n\n\n\n

(c) both horizontal and vertical mirrors – O, X,I, H<\/p>\n\n\n\n

9. Give three examples of shapes with no line of symmetry. <\/strong><\/p>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

The three examples are:<\/p>\n\n\n\n

1. Quadrilateral<\/p>\n\n\n\n

2. Scalene triangle<\/p>\n\n\n\n

3. Parallelogram<\/p>\n\n\n\n

10. What other name can you give to the line of symmetry of<\/strong><\/p>\n\n\n\n

(a) an isosceles triangle? (b) a circle?<\/strong><\/p>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

(a) The line of symmetry of an isosceles triangle is median or altitude.<\/p>\n\n\n\n

(b) The line of symmetry of a circle is diameter.<\/p>\n\n\n\n

NCERT 7th Maths Chapter 14, class 7 Maths Chapter 14 solutions<\/p>\n\n\n\n

Exercise 14.2<\/h4>\n\n\n\n

1. Which of the following figures have rotational symmetry of order more than 1:<\/strong><\/p>\n\n\n\n

\"Question<\/figure>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

Rotational symmetry of order more than 1 are (a),(b),(d),(e) and (f).<\/p>\n\n\n\n

2. Give the order the rotational symmetry for each figure:<\/strong><\/p>\n\n\n\n

\"Question<\/figure>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

(a) 2<\/p>\n\n\n\n

(b) 2<\/p>\n\n\n\n

(c) 3<\/p>\n\n\n\n

(d) 4<\/p>\n\n\n\n

(e) 4<\/p>\n\n\n\n

(f) 5<\/p>\n\n\n\n

(g) 6<\/p>\n\n\n\n

(h) 3<\/p>\n\n\n\n

NCERT 7th Maths Chapter 14, class 7 Maths Chapter 14 solutions<\/p>\n\n\n\n

Exercise 14.3<\/h4>\n\n\n\n

1. Name any two figures that have both line symmetry and rotational symmetry.<\/strong><\/p>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

Circle and Equilateral Triangle.<\/p>\n\n\n\n

2. Draw, wherever possible, a rough sketch of: <\/strong><\/p>\n\n\n\n

(i) a triangle with both line and rotational symmetries of order more than 1. <\/strong><\/p>\n\n\n\n

(ii) a triangle with only line symmetry and no rotational symmetry of order more than 1. <\/strong><\/p>\n\n\n\n

(iii) a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry. <\/strong><\/p>\n\n\n\n

(iv) a quadrilateral with line symmetry but not a rotational symmetry of order more than 1. <\/strong><\/p>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

(i) An equilateral triangle has both line and rotational symmetries of order more than 1.<\/p>\n\n\n\n

(ii) An isosceles triangle has only one line of symmetry and no rotational symmetry of order more than 1.<\/p>\n\n\n\n

(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\n\n\n

(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\n\n\n

3. In a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1? <\/strong><\/p>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

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\n\n\n

4. Fill in the blanks: <\/strong><\/p>\n\n\n\n

Shape<\/td>Centre of Rotation<\/td>Order of Rotation<\/td>Angle of Rotation<\/td><\/tr>
Square<\/td>–<\/td>–<\/td>–<\/td><\/tr>
Rectangle<\/td>–<\/td>–<\/td>–<\/td><\/tr>
Rhombus<\/td>–<\/td>–<\/td>–<\/td><\/tr>
Equilateral triangle<\/td>–<\/td>–<\/td>–<\/td><\/tr>
Regular hexagon<\/td>–<\/td>–<\/td>–<\/td><\/tr>
Circle<\/td>–<\/td>–<\/td>–<\/td><\/tr>
Semi-circle<\/td>–<\/td>–<\/td>–<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

Shape<\/td>Centre of Rotation<\/td>Order of Rotation<\/td>Angle of Rotation<\/td><\/tr>
Square<\/td>Intersecting point of diagonals.<\/td>4<\/td>90\u00b0<\/td><\/tr>
Rectangle<\/td>Intersecting point of diagonals.<\/td>2<\/td>180\u00b0<\/td><\/tr>
Rhombus<\/td>Intersecting point of diagonals.<\/td>2<\/td>180\u00b0<\/td><\/tr>
Equilateral triangle<\/td>Intersecting point of medians.<\/td>3<\/td>120\u00b0<\/td><\/tr>
Regular hexagon<\/td>Intersecting point of diagonals.<\/td>6<\/td>60\u00b0<\/td><\/tr>
Circle<\/td>Centre<\/td>Infinite<\/td>At every point<\/td><\/tr>
Semi-circle<\/td>Mid-point of diameter<\/td>1<\/td>360\u00b0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

5. Name the quadrilaterals which have both line and rotational symmetry of order more than 1.<\/strong><\/p>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

Square has both line and rotational symmetry of order more than 1.<\/p>\n\n\n\n

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><\/p>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

After rotating by 60\u00b0 about a centre, a figure looks exactly the same as its original position. This will happen for the figure at angles 120\u00b0, 180\u00b0, 240\u00b0, 300\u00b0, 360\u00b0 respectively.<\/p>\n\n\n\n

7. Can we have a rotational symmetry whose angle of rotation is<\/strong><\/p>\n\n\n\n

(i) 45\u00b0?<\/strong><\/p>\n\n\n\n

(ii) 17\u00b0?<\/strong><\/p>\n\n\n\n

Answer<\/strong><\/p>\n\n\n\n

(i) Yes<\/p>\n\n\n\n

(ii) No.<\/p>\n\n\n\n

NCERT 7th Maths Chapter 14, class 7 Maths Chapter 14 solutions<\/p>\n\n\n\n

NCERT Solutions for 7th Class Maths: Chapter 14: Download PDF<\/strong><\/h2>\n\n\n\n

NCERT Solutions for 7th Class Maths: Chapter 14-Symmetry<\/p>\n\n\n\n

Download PDF<\/strong>: NCERT Solutions for 7th Class Maths: Chapter 14-Symmetry PDF<\/a><\/p>\n\n\n\n

Chapter-wise NCERT Solutions Class 7 Maths<\/h2>\n\n\n\n
Chapter 1 Integers<\/a><\/td><\/tr>
Chapter 2 Fractions and Decimals<\/a><\/td><\/tr>
Chapter 3 Data Handling<\/a><\/td><\/tr>
Chapter 4 Simple Equations<\/a><\/td><\/tr>
Chapter 5 Lines and Angles<\/a><\/td><\/tr>
Chapter 6 The Triangle and its Properties<\/a><\/td><\/tr>
Chapter 7 Congruence of Triangles<\/a><\/td><\/tr>
Chapter 8 Comparing Quantities<\/a><\/td><\/tr>
Chapter 9 Rational Numbers<\/a><\/td><\/tr>
Chapter 10 Practical Geometry<\/a><\/td><\/tr>
Chapter 11 Perimeter and Area<\/a><\/td><\/tr>
Chapter 12 Algebraic Expressions<\/a><\/td><\/tr>
Chapter 13 Exponents and Powers<\/a><\/td><\/tr>
Chapter 14 Symmetry<\/a><\/td><\/tr>
Chapter 15 Visualising Solid Shapes<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n


<\/strong>About NCERT<\/h2>\n\n\n\n


<\/strong>About NCERT<\/h2>\n\n\n\n

The National Council of Educational Research and Training is an autonomous organization of the Government of India which was established in 1961 as a literary, scientific, and charitable Society under the Societies Registration Act. Its headquarters are located at Sri Aurbindo Marg in New Delhi. Visit the Official NCERT website<\/a> to learn more. <\/p>\n\n\n\n

\n
NCERT Solutions<\/a><\/div>\n\n\n\n
NCERT Solutions for Class 7<\/a><\/div>\n\n\n\n
NCERT Solutions for Class 7 Maths<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Class 7: Maths Chapter 14 solutions. Complete Class 7 Maths Chapter 14 Notes. NCERT Solutions for 7th Class Maths: Chapter 14-Symmetry NCERT 7th Maths Chapter 14, class 7 Maths Chapter 14 solutions Exercise 14.1 1. Copy the figures with punched holes and find the axes of symmetry for the following: Answer 2. Given the line(s) of symmetry, […]<\/p>\n","protected":false},"author":302,"featured_media":627329,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"newspack_featured_image_position":"","newspack_post_subtitle":"","newspack_article_summary_title":"Overview:","newspack_article_summary":"","newspack_hide_updated_date":false,"newspack_show_updated_date":false,"footnotes":""},"categories":[1411,907],"tags":[1550],"boards":[1180],"class_list":["post-151082","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-book-solutions","category-class-7","tag-ncert-maths-class-7","boards-ncert","entry"],"yoast_head":"\nNCERT Solutions Class 7, Maths Chapter 14- IndCareer Schools<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for 7th Class Maths: Chapter 14-Symmetry | Browse all Class 7 Maths Solutions of NCERT books- IndCareer Schools\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.indcareer.com\/schools\/ncert-solutions-for-7th-class-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 7th Class Maths: Chapter 14-Symmetry\" \/>\n<meta property=\"og:description\" content=\"Class 7: Maths Chapter 14 solutions. 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