NCERT Solutions for Class 7 Maths Chapter 14 Symmetry (EX 14.3) Exercise 14.3
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The Central Board of Secondary Education is an educational board that functions and operates in India. CBSE is one of the most esteemed educational boards in India, comprised of highly qualified educators, with a plethora of schools affiliated with it spread out all over the country.When it comes to the education that they provide, CBSE follows a specific pattern.. CBSE follows an extremely objective study pattern. Such a pattern includes a more specific curriculum. All the questions are based on the fundamental ideas of the topics in the syllabus. CBSE checks and evaluates a student’s performance based on their ability to connect concepts from one chapter to an entirely different chapter to solve a problem. Therefore, CBSE demands its students be very regular with their studies so that they can hone their analytical as well as their cognitive functions. These traits are prerequisites for students if they want to score well on the exam and get a good grade. Students are encouraged to follow a structured approach while studying, which would enable them to look deeply into a topic and extensively study it. CBSE wants its students to learn about new ideas and not just retain them for the sake of the exams. It is only when education is engaging that students learn. Although a student who transitionsfrom a different board to CBSE might find the adjustment to an entirely new environment a bit daunting. If students change their studying habits and bring about little changes all over and are very disciplined and consistent, there is nothing they would be scared of anymore. Highly efficient mentors of Extramarks with expertise in Mathematics have compiled and curated the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.3 in Hindi and English. They have all the relevant qualifications, and they are highly trained.
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NCERT Solutions for Class 7 Maths Chapter 14 Symmetry (EX 14.3) Exercise 14.3
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Access NCERT Solutions for Class 7 Chapter 14 – Symmetry Exercise 14.3
Chapter 14 of the Mathematics syllabus of the Class 7 curriculum is titled Symmetry. This chapter belongs to the coordinate section of the syllabus. In this chapter, students learn more about graphs and how two graphical representations of two images can be symmetrical. This chapter requires a lot of visual aid because it is very easy to commit negligent errors while drawing a graph if students are not clear on how to determine the scale of the graph. The NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.3 in Hindi and English have an amazing demonstration of sample graphs. Even the solutions where students need to draw a graph, NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.3 in Hindi and English have those depicted perfectly. Students could click on the link below to access the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.3 in Hindi and English.
Exercise 14.3
The NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.3 in Hindi and English provide solutions to the 14th chapter of the NCERT Mathematics textbook for the Class 7 curriculum. All the unsolved questions in the NCERT textbook are solved in the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.3 in Hindi and English. The NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.3 in Hindi and English are written in a very lucid and meticulous language to make sure that everyone can easily comprehend the language and the way the solutions are provided. The NCERT solutions have amazing, comprehensive abilities. The ease of access is high for the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.3 in Hindi and English. The solutions follow the same chronology as the question markings in the NCERT textbook. This ensures that while students are solving a chapter and simultaneously using the NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.3 in Hindi and English, they face no doubts or hindrances. The NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.3 in Hindi and English follow all the NCERT rules and regulations. Every NCERT solution strictly adheres to the NCERT syllabus as well.
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Exercise 14.3
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The NCERT Solutions Class 7 Maths Chapter 14 Exercise 14.3 in Hindi and English are extremely reliable and they have been extensively checked for errors.
Q.1
$\mathrm{Name}\mathrm{any}\mathrm{two}\mathrm{figures}\mathrm{that}\mathrm{have}\mathrm{both}\mathrm{line}\mathrm{symmetry}\mathrm{and}\mathrm{rotational}\mathrm{symmetry}.$
Ans
$\text{Equilateral triangle and regular hexagon have both line of symmetry and rotational symmetry}\text{.}$
Q.2
$\begin{array}{l}\mathrm{Draw},\mathrm{wherever}\mathrm{possible},\mathrm{a}\mathrm{rough}\mathrm{sketch}\mathrm{of}\\ \left(\mathrm{i}\right)\mathrm{a}\mathrm{triangle}\mathrm{with}\mathrm{both}\mathrm{line}\mathrm{and}\mathrm{rotational}\mathrm{symmetries}\mathrm{of}\\ \mathrm{order}\mathrm{more}\mathrm{than}1.\\ \left(\mathrm{ii}\right)\mathrm{a}\mathrm{triangle}\mathrm{with}\mathrm{only}\mathrm{line}\mathrm{symmetry}\mathrm{and}\mathrm{no}\mathrm{rotational}\\ \mathrm{symmetry}\mathrm{of}\mathrm{order}\mathrm{more}\mathrm{than}1.\\ \left(\mathrm{iii}\right)\mathrm{a}\mathrm{quadrilateral}\mathrm{with}\mathrm{a}\mathrm{rotational}\mathrm{symmetry}\mathrm{of}\mathrm{order}\\ \mathrm{more}\mathrm{than}1\mathrm{but}\mathrm{not}\mathrm{a}\mathrm{line}\mathrm{symmetry}.\\ \left(\mathrm{iv}\right)\mathrm{a}\mathrm{quadrilateral}\mathrm{with}\mathrm{line}\mathrm{symmetry}\mathrm{but}\mathrm{not}\mathrm{a}\mathrm{rotational}\\ \mathrm{symmetry}\mathrm{of}\mathrm{order}\mathrm{more}\mathrm{than}1.\end{array}$
Ans
\text{(i) Equilateral triangle has 3 lines of symmetry and rotational symmetry of order 3}\text{.}
\text{}
\text{(ii) Isosceles triangle has only 1 line of symmetry and no rotational symmetry of order more than 1}\text{.}
\text{} \text{(iii) A parallelogram is a quadrilateral which has no line of symmetry but a rotational symmetry of order 2}\text{.}
\text{} \text{(iv) A kite is a quadrilateral which has only 1 line of symmetry and no rotational symmetry of order more than 1}\text{.}
Q.3
$\mathrm{If}\mathrm{a}\mathrm{figure}\mathrm{has}\mathrm{two}\mathrm{or}\mathrm{more}\mathrm{lines}\mathrm{of}\mathrm{symmetry},\mathrm{should}\mathrm{it}\mathrm{have}\mathrm{rotational}\mathrm{symmetry}\mathrm{of}\mathrm{order}\mathrm{more}\mathrm{than}1?$
Ans
\begin{array}{l}\text{Yes, if a figure has two or more lines of symmetry, then it will}\\ \text{definitely have its rotational symmetry of order more than 1}\text{.}\end{array}
Q.4
Shape  Centre of Rotation  Order of Rotation  Angle of Rotation 
Square  
Rectangle  
Rhombus  
Equilateral Triangle  
Regular Hexagon  
Circle  
Semicircle 
Ans
Shape  Centre of Rotation  Order of Rotation  Angle of Rotation 
Square  Intersection point of diagonals  4  90° 
Rectangle  Intersection point of diagonals  2  180° 
Rhombus  Intersection point of diagonals  2  180° 
Equilateral Triangle  Intersection point of diagonals  3  120° 
Regular Hexagon  Intersection point of diagonals  6  60° 
Circle  Centre  Infinite  Any angle 
Semicircle  Centre  1  360° 
Q.5
$\mathrm{Name}\mathrm{the}\mathrm{quadrilaterals}\mathrm{which}\mathrm{have}\mathrm{both}\mathrm{line}\mathrm{and}\mathrm{rotational}\mathrm{symmetry}\mathrm{of}\mathrm{order}\mathrm{more}\mathrm{than}1.$
Ans
\begin{array}{l}\text{Square, rectangle and rhombus are the quadrilaterals which}\\ \text{have both line and rotational symmetry of order more than 1}\text{.}\\ \text{A square has 4 lines of symmetry and rotational symmetry}\\ \text{of order 4}\text{.A rectangle has 2 lines of symmetry and rotational}\\ \text{symmetry of order 2}\text{.A rhombus has 2 lines of symmetry and}\\ \text{rotational symmetry of order 2}\text{.}\end{array}
Q.6
$\begin{array}{l}\mathrm{After}\mathrm{rotating}\mathrm{by}60\mathrm{\xb0}\mathrm{about}\mathrm{a}\mathrm{centre},\mathrm{a}\mathrm{figure}\mathrm{looks}\mathrm{exactly}\\ \mathrm{the}\mathrm{same}\mathrm{a}\mathrm{sits}\mathrm{original}\mathrm{position}.\mathrm{At}\mathrm{what}\mathrm{other}\mathrm{angles}\mathrm{will}\\ \mathrm{this}\mathrm{happen}\mathrm{for}\mathrm{the}\mathrm{figure}?\end{array}$
Ans
\begin{array}{l}\text{If a figure looks symmetrical on rotating by 60}\xb0\text{, then it will}\\ \text{also look symmetrical on rotating by 120}\xb0,180\xb0,240\xb0,300\xb0\\ \text{and}360\xb0\text{i}\text{.e}\text{., further multiples of 60}\xb0.\end{array}
Q.7
$\mathrm{Can}\mathrm{we}\mathrm{have}\mathrm{a}\mathrm{rotational}\mathrm{symmetry}\mathrm{of}\mathrm{order}\mathrm{more}\mathrm{than}1\mathrm{whose}\mathrm{angle}\mathrm{of}\mathrm{rotation}\mathrm{is}$
(i) 45° ? (ii) 17° ?
Ans
\begin{array}{l}\text{If the angle of rotation of a figure is a factor of 360}\xb0,\text{then}\\ \text{it will have a rotational symmetry of order than 1}\text{.}\\ \text{It can be checked that 45}\xb0\text{will have its rotational symmetry}\\ \text{of order more than 1}\text{.}\\ \text{However, the figure having its angle of rotation as 17}\xb0\text{will}\\ \text{not be having its rotational symmetry of order more than 1}\text{.}\end{array}